CN111199673A - Faraday's law of electromagnetic induction ration experimental apparatus - Google Patents

Faraday's law of electromagnetic induction ration experimental apparatus Download PDF

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CN111199673A
CN111199673A CN202010148016.2A CN202010148016A CN111199673A CN 111199673 A CN111199673 A CN 111199673A CN 202010148016 A CN202010148016 A CN 202010148016A CN 111199673 A CN111199673 A CN 111199673A
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coil
electromagnetic induction
magnetic field
faraday
law
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康良溪
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Fujian Tong'an No1 Middle School
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Fujian Tong'an No1 Middle School
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Abstract

The utility model discloses a Faraday's law of electromagnetic induction ration experimental apparatus, which comprises a power supply, magnetic field intensity sensor, data collection station, coil and voltage sensor, the coil includes primary and secondary, the power is connected with primary, secondary is connected with voltage sensor, voltage sensor and magnetic field intensity sensor insert data collection station, secondary includes the coil body and sets up in the curb plate of coil body both sides, wherein be provided with a plurality of terminals of being connected with the coil joint on the curb plate of one side, be provided with the support that is used for fixed magnetic field intensity sensor on the curb plate of opposite side, primary arranges the inside of coil body in. The experimental device has the advantages of simple structure, quick operation and good controllability, adopts four methods and multiple angles, directly quantifies and visualizes waveforms and data, and intuitively explores the Faraday law of electromagnetic induction.

Description

Faraday's law of electromagnetic induction ration experimental apparatus
Technical Field
The invention relates to a physical experiment device, in particular to a Faraday electromagnetic induction law quantitative experiment device.
Background
The Electromagnetic induction (Electromagnetic induction) phenomenon refers to a conductor placed in a changing magnetic flux, and generates an electromotive force. This electromotive force is called induced electromotive force or induced electromotive force, and when the conductor is closed in a loop, the electromotive force drives electrons to flow, and an induced current is formed. The electromagnetic induction refers to a phenomenon in which an induced electromotive force is generated due to a change in magnetic flux. The discovery of the electromagnetic induction phenomenon is one of the greatest achievements in the field of electromagnetism. The method not only reveals the internal relation between electricity and magnetism, but also lays an experimental foundation for the mutual conversion between electricity and magnetism, opens up a road for human to obtain huge and cheap electric energy, and has great significance in practical use. The discovery of the phenomenon of electromagnetic induction has marked the arrival of a significant industrial and technical revolution. The wide application of electromagnetic induction in electricians, electronic technology, electrification and automation has proved to play an important role in promoting social productivity and the development of scientific technology. Therefore, the research on the law of electromagnetic induction is necessary.
Currently, the general description in textbooks is: "it is concluded through a large number of precise experiments: the magnitude of the induced electromotive force in the circuit is proportional to the rate of change of the magnetic flux through the circuit. This is called faraday's law of electromagnetic induction and is expressed by the formula:
Figure BDA0002401444350000011
due to lack of experimental basis, students lack necessary perceptual knowledge for accepting the law; given the hard conclusions, it is unfortunate to develop scientific methods for students. Because the experiment is not easy to be carried out, no good experimental device exists at present, and the experiment is carried out more intuitively.
For example, the Chinese invention patent CN109036048A discloses an experimental device of Faraday's law of electromagnetic induction and an experimental method thereof, the technical scheme comprises a variable frequency power supply for teaching, a vibration table for teaching, a strong magnet, a square coil and an oscilloscope for teaching, the two experimental methods are all indirect verification, the technical scheme of the invention belongs to a ' magnetic field cutting ' method, ① keeps the frequency f unchanged, changes the voltage, namely changes the magnetic flux phi, the induced electromotive force E is read through the grid number of the oscilloscope, the values of the magnetic field intensity B and the magnetic flux phi cannot be measured, and the indirect verification is that the magnetic field is cut
Figure BDA0002401444350000012
② it is an indirect verification that the induced electromotive force E is read by the grid number of the oscilloscope by keeping the power supply voltage unchanged, namely changing the frequency f, namely changing delta t according to the magnetic flux phi
Figure BDA0002401444350000013
The experimental processes of the two methods are manual data recording, manual data processing and drawing, and the two methods are traditional experimental methods.
For another example, chinese patent CN102136214B provides a faraday electromagnetic induction experimental apparatus, which includes a magnetic induction sensor, a voltage sensor, a data acquisition unit, and a computer. It can quantitatively research the variation rate of induced electromotive force E and magnetic induction intensity
Figure BDA0002401444350000021
And the number of turns n of the coil. However, only one method is provided, the related experimental exploration content is single, the magnetic flux phi can not be directly measured, only B can be measured, and direct verification cannot be carried out, and the magnetic flux phi is a prior certificate
Figure BDA0002401444350000022
Then indirectly explain through the words
Figure BDA0002401444350000023
Figure BDA0002401444350000024
And (4) relationship.
Disclosure of Invention
In order to solve the problem that the experiment of the Faraday electromagnetic induction principle in the prior art is not easy to do, no better experimental device exists at present, the experiment is made more intuitively, and the experiment cannot be directly verified
Figure BDA0002401444350000025
The invention provides a Faraday's law of electromagnetic induction quantitative experimental device, which is used for solving the technical problems, researching four experiments, a multi-method and a multi-angle, realizing direct quantification and intuitively exploring a formula
Figure BDA0002401444350000026
Magnitude and magnetic flux change rate of induced electromotive force E
Figure BDA0002401444350000027
And the proportional relation of the number n of the coil turns.
The invention provides a novel experimental device for Faraday's law of electromagnetic induction, which aims at the current stateThe same field of research has problems: (1) the research of quantitative experiments is carried out by a 'cutting magnetic field' method, namely, the relation between the magnetic flux change and the induced electromotive force is observed by the 'cutting magnetic field' speed of a movable coil at the instant, and the method is basically qualitative, semi-quantitative or indirect verification. The above-mentioned "Chinese patent application CN 109036048A" is an indirect verification experiment. (2) Some studies have quantified the test by measuring the rate of change of current
Figure BDA0002401444350000028
Derivation of
Figure BDA0002401444350000029
Proportional to the induced electromotive force E. For example: indirectly explain by adjusting the rising amplitude of the output voltage of the signal generator
Figure BDA00024014443500000215
Then derived
Figure BDA00024014443500000210
Figure BDA00024014443500000211
Final indirect derivation
Figure BDA00024014443500000212
This method is also an indirect authentication method. (3) Since the magnetic flux Φ is difficult to measure directly, the rate of change of the magnetic flux
Figure BDA00024014443500000213
Can not be obtained, and domestic research has not seen that the magnetic flux change rate can be measured
Figure BDA00024014443500000214
The laboratory instrument of (1).
The invention proposes and implements a technical solution to solve the above mentioned problems: (1) the coil is newly designed, so that the coil can be switched among five groups of turns, the magnetic field intensity sensor can be directly fixed on the coil, and the coil is changed into a coilThe variable turn number switching is convenient and fast, five groups of experimental data points can be obtained in experimental measurement, the drawing data fitting graph line is scientific, and the device is simple in structure. (2) The method utilizes modern instruments and equipment to realize measurement which cannot be realized by people before, namely utilizes a modern novel signal generator and a power amplifier as a power supply, can change alternating current frequency and voltage, provides periodically changed current to supply power for a primary coil, generates a periodically changed magnetic field by the coil, utilizes a magnetic field intensity sensor and a voltage sensor, then measures the area S of the coil and the magnetic field intensity B measured by the sensor through actual measurement, design software automatically calculates the magnetic flux phi which is the value of BS, effectively solves the problem that the magnetic flux phi related to Faraday' S law of electromagnetic induction is difficult to directly measure in physical teaching, and the rate of change of the magnetic flux
Figure BDA0002401444350000031
The difficulty and the doubtful point problem which can not be directly obtained realize direct quantitative verification. (3) Particularly, four experiments can be carried out by changing the number of turns, voltage and frequency and matching with special software, the method is multi-method and multi-angle, waveform data are visualized on a computer screen, the experimental operation controllability is good, the data and waveform are stable, and the correlation coefficient R of image display2The number of the tested related physical quantities is more than 3 and 9, which shows that the related degree of the researched related physical quantities is very high, and the related degree is very high, which also shows that the experimental error is very small, and the invention is characterized by solving the problems of single experimental method and indirect verification in China; (4) as quantitative experimental measurement, relative errors of the four experimental methods are small, namely 1.84% of the first experiment, 2.18% of the second experiment, 1.84% of the third experiment and 0.82% of the fourth experiment. (5) The experimental result presentation mode is as follows: the computer directly displays data, image, equation and related coefficient, wherein the image takes the induced electromotive force E as a vertical coordinate to
Figure BDA0002401444350000032
In a graph that is the abscissa of the graph,
Figure BDA0002401444350000033
the "correlation coefficient R" of2The value "all reaches more than 3 and 9, and the two physical quantities are in direct proportionThe degree of closeness is high. Such experiment is good in intuition and scientificity, and students can visually see the magnitude of the induced electromotive force E and the change rate of the magnetic flux
Figure BDA0002401444350000034
Proportional ratio, broadens the thought of students, solves the problem of quantitative analysis and fully improves the physical teaching effect.
According to one aspect of the invention, the Faraday electromagnetic induction quantitative experiment device comprises a power supply, a magnetic field intensity sensor, a data collector, a coil and a voltage sensor, wherein the coil comprises a primary coil and a secondary coil, the power supply is connected with the primary coil, the secondary coil is connected with the voltage sensor, the voltage sensor and the magnetic field intensity sensor are connected into the data collector, the secondary coil comprises a coil body and side plates arranged on two sides of the coil body, a plurality of binding posts connected with coil joints are arranged on the side plate on one side, a support used for fixing the magnetic field intensity sensor is arranged on the side plate on the other side, and the primary coil is arranged in the coil body. The switching of different numbers of turns and the stable fixed of magnetic field intensity sensor can be realized conveniently to ingenious setting by virtue of coil structure, make things convenient for the wiring in the experimentation and the measurement of magnetic field intensity.
Preferably, the primary coil and the coil body are both hollow columnar structures, and the outer diameter of the primary coil is smaller than the inner diameter of the coil body. This arrangement ensures that the primary coil can be inserted into the secondary coil and the magnetic field strength sensor is used to detect changes in magnetic induction.
Preferably, the coil body is a variable coil, the coil with multiple taps and variable turns is arranged, different coil turns can be directly selected on the secondary coil for experiment, and the time for replacing the coil is saved.
Further preferably, the terminal penetrates the side plate, and the tap is connected to the terminal on the side of the coil body. The tap is connected to the inner side of the coil body, so that the condition that the tap is exposed to cause inconvenient wiring can be avoided.
It is further preferred that the inner diameter of the primary coil is larger than the diameter of the probe of the magnetic field strength sensor. The arrangement can ensure that the probe of the magnetic field intensity sensor can go deep into the coil to detect the change condition of the magnetic field intensity.
Further preferably, the magnetic field strength sensor is fixed to the support, and the probe extends into the coil body and the interior of the primary coil.
Preferably, the side plates are acrylic plates. The processing of terminal can conveniently be carried out as the curb plate to the utilization inferior gram force board, also can guarantee intensity simultaneously.
Preferably, the power supply comprises a signal generator and a power amplifier, the signal generator being connected to the power amplifier, and the power amplifier being connected to the primary winding. The coil is powered by a signal generator and a power amplifier serving as a current source, so that the coil can generate a periodically-changing magnetic field.
Preferably, the signal generator is a low frequency low voltage output. The signal generator is used for changing current frequency and changing input voltage to carry out relationship conversion, so that in the process of changing alternating current frequency and input voltage, a low-frequency low-voltage method is adopted, a magnetic field intensity sensor and a voltage sensor are utilized, the magnetic field intensity B measured by the coil area S and the sensor is measured, and design software automatically calculates the magnetic flux phi to be the BS value, so that the difficulty in measuring the magnetic flux phi and the induced electromotive force E is solved.
Preferably, the system further comprises a computer, and the data collector is in communication connection with the computer. The data, the image, the equation and the correlation coefficient are automatically acquired by a computer, the experiment is directly and quantitatively verified, the four methods are verified in a multi-angle mode, and the operation and controllability of the experiment are good.
Drawings
The accompanying drawings are included to provide a further understanding of the embodiments and are incorporated in and constitute a part of this specification. The drawings illustrate embodiments and together with the description serve to explain the principles of the invention. Other embodiments and many of the intended advantages of embodiments will be readily appreciated as they become better understood by reference to the following detailed description. The elements of the drawings are not necessarily to scale relative to each other. Like reference numerals designate corresponding similar parts.
Fig. 1 is a perspective view of a faraday electromagnetic induction quantitative experiment apparatus according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of the primary and secondary coils according to a specific embodiment of the present invention;
FIG. 3 is a graph of frequency versus electromagnetic induction using a Faraday quantitative electromagnetic induction experiment apparatus, according to an embodiment of the present invention;
FIG. 4 is a graph of voltage versus electromagnetic induction using a Faraday quantitative electromagnetic induction experiment apparatus, according to an embodiment of the present invention;
FIG. 5 is a graph of voltage, frequency and electromagnetic induction using a Faraday quantitative electromagnetic induction experiment apparatus, according to an embodiment of the present invention;
figure 6 is a graph of coil turns versus electromagnetic induction using a faraday quantitative electromagnetic induction experimental apparatus in accordance with an embodiment of the present invention.
Description of the reference numerals: 1. a signal generator; 2. signal power amplifier, 3. magnetic field intensity sensor; 4. a secondary coil; 5. a primary coil; 6. a voltage sensor; 7. a data acquisition unit; 8. a computer; 31. a magnetic field intensity sensor probe long rod; 41. a secondary coil of which the number of turns can be changed; 42. the magnetic field intensity sensor is provided with a fixed bracket; 43. a coil right side fixing plate (coil support); 44. a coil left side fixing plate (coil support); 45. and (4) binding posts.
Detailed Description
In the following detailed description, reference is made to the accompanying drawings, which form a part hereof, and in which is shown by way of illustration specific embodiments in which the invention may be practiced. In this regard, directional terminology, such as "top," "bottom," "left," "right," "up," "down," etc., is used with reference to the orientation of the figures being described. Because components of embodiments can be positioned in a number of different orientations, the directional terminology is used for purposes of illustration and is in no way limiting. It is to be understood that other embodiments may be utilized and logical changes may be made without departing from the scope of the present invention. The following detailed description is, therefore, not to be taken in a limiting sense, and the scope of the present invention is defined by the appended claims.
Fig. 1 is a perspective view illustrating a faraday's law of electromagnetic induction quantitative experiment apparatus according to an embodiment of the present invention. As shown in fig. 1, the apparatus includes a signal generator 1, a power amplifier 2, a magnetic field strength sensor 3, a secondary coil 4, a primary coil 5, a voltage sensor 6, a digital collector 7, and a computer 8. The signal generator 1 is connected with a power amplifier 2, and the power amplifier 2 is connected with a terminal of a primary coil 5. The magnetic field strength sensor 3 is fixed to the secondary coil 4 to monitor the change of the magnetic field strength in the coil. The primary coil 5 is inserted into the secondary coil 4, and the voltage sensor 6 is connected with a terminal of the secondary coil 4 and used for receiving voltage change generated by the secondary coil 4. The magnetic field intensity sensor 3 and the voltage sensor 6 are connected into the digital collector 7 and the computer 8 to demonstrate the data change situation and the graph relation curve of each parameter. The experimental device has simple structure, and can directly quantify from multiple angles and multiple directions in the Faraday electromagnetic induction verification
Figure BDA0002401444350000051
The relation of (1) is simple and quick to operate and good in controllability.
In a specific embodiment, a signal power amplifier 2 is connected through a signal generator 1 as a current source to power a primary coil 5, a sawtooth waveform is selectively output, a current is periodically changed by changing a frequency, and a periodically changed current is supplied to a solenoid of the primary coil 5, so that a periodically changed magnetic field is generated inside the primary coil 5. The signal generator is used for changing current frequency and changing input voltage to carry out relationship conversion, so that in the process of changing alternating current frequency and input voltage, a low-frequency low-voltage method is adopted, a magnetic field intensity sensor and a voltage sensor are utilized, the magnetic field intensity B measured by the coil area S and the sensor is measured, and design software automatically calculates the magnetic flux phi to be the BS value, so that the difficulty in measuring the magnetic flux phi and the induced electromotive force E is solved.
With continued reference to fig. 2, fig. 2 shows a schematic diagram of the primary and secondary coils of a particular embodiment of the present invention. As shown in fig. 2, the primary coil 5 is a hollow cylindrical structure, the head has two terminals, the secondary coil 4 includes a secondary coil 41 with changeable number of turns, a magnetic field strength sensor mounting and fixing bracket 42, a coil right fixing plate 43, a coil left fixing plate 44 and a terminal 45, the secondary coil 41 with changeable number of turns is fixed between the coil left fixing plate 44 and the coil right fixing plate 43, the magnetic field strength sensor mounting and fixing bracket 42 is fixed on the opposite side of the coil right fixing plate 43 and the secondary coil 41 with changeable number of turns, and the terminal 45 is disposed on the left side plate. This coil structure provides a fixed bolster for magnetic field intensity sensor 3, guarantees that magnetic field intensity sensor 3 can be stable be fixed in on the coil, makes magnetic field intensity's measurement more accurate stable, and the operation and the wiring of experiment are also made things convenient for more in addition to primary coil 5 and secondary coil 4's bayonet cooperation, are favorable to saving the preparation time of experiment.
In a specific embodiment, the secondary coil 41 with changeable turns of the secondary coil 4 is a hollow cylindrical structure, the inner diameter of which is larger than the outer diameter of the cylindrical structure of the primary coil 5, so as to ensure that the primary coil 5 can be inserted into the secondary coil 41 with changeable turns, and the inner diameter of the primary coil 5 is larger than the long probe rod 31 of the magnetic field intensity sensor 3, so as to ensure that the long probe rod 31 of the magnetic field intensity sensor 3 can be inserted into the primary coil 5, so as to measure the change condition of the magnetic field intensity in the coil.
In a preferred embodiment, the secondary coil 41 with changeable turns of the secondary coil 4 is a coil with changeable turns, and is provided with 6 wiring taps, and is correspondingly connected to the 6 binding posts 45 on the left fixing plate 44 of the coil, and the turns corresponding to the 6 wiring taps are respectively 0-2000 + 4000 + 8000 + 10000 turns, it should be appreciated that the turns of the secondary coil 41 with changeable turns of the secondary coil 4 can be set to any number of turns of more than 2, the binding posts 45 on the left fixing plate 44 of the coil are correspondingly set to the number of taps, and the specific setting number is determined according to experimental requirements, and the technical effects of the present invention can also be achieved.
In specific embodiment, coil left side fixed plate 44 and coil right side fixed plate 43 are the ya keli board, 5mm can be chooseed for use to thickness, 0.29 mm's enameled wire is chooseed for use to the coil, terminal 45 runs through coil left side fixed plate 44, the secondary coil 41's that can change the number of turns of secondary coil 4 wiring tap and terminal 45 are connected in the one side that left side board 44 is close to coil body 41, can avoid the difficult condition of wiring that the circuit is complicacy led to of circuit intricacy, coil left side fixed plate 44 outside terminal is used for being connected with outside voltage sensor 6, the circuit is clear, be difficult for obscuring, can improve experimental efficiency. It should be appreciated that the material and thickness of the side plate and the parameters of the enameled wire can be selected according to actual requirements, and other appropriate parameters such as material and thickness can be selected for manufacturing the side plate and the coil, and the technical effects of the invention can also be achieved.
In the preferred embodiment, the lengths of the primary coil 5 and the secondary coil 4 are the same, and the positions of the two coils are kept in corresponding relation after the primary coil 5 is inserted into the secondary coil 4, so that the effectiveness of the generated electromagnetic induction phenomenon and the accuracy of the magnetic field intensity measured by the magnetic field intensity sensor 3 are ensured. Through a plurality of experiments of the inventor of the application, the length of the primary coil 5 and the length of the secondary coil 4 are selected to be 80mm, and a better experiment effect can be obtained. It should also be appreciated that the length of the coil may be other than 80mm, depending on the experimental accuracy and effect requirements, and the technical effects required by the present invention can also be obtained.
Based on the experimental apparatus, table 1 shows experimental contents that can be performed by the faraday's law of electromagnetic induction quantitative experimental apparatus according to an embodiment of the present invention, so as to intuitively explore a formula
Figure BDA0002401444350000061
Magnitude and magnetic flux change rate of induced electromotive force E
Figure BDA0002401444350000071
And the relation of each parameter in a proportional relation calculation formula of the number n of the coil turns:
table 1:
Figure BDA0002401444350000072
in a specific embodiment, the experimental steps performed by the experimental apparatus are as follows:
s1: the primary coil is connected with a power amplifier of the signal generator. The measuring probe of the magnetic induction sensor is inserted into the central position of the primary coil and is used for measuring the magnetic field change of the primary coil; the voltage sensor is connected with the secondary coil and used for measuring the terminal voltage U and calculating the induced electromotive force E according to the terminal voltage U; the magnetic flux Φ in the coil is equal to the product of the coil area S, where the area S is known from measurement, and the magnetic induction B, which can be measured by a magnetic induction sensor, i.e., Δ Φ is equal to S Δ B. Changing frequency, obtaining 'B-t' and 'E-t' graphs, calculating by a software formula, and finally exploring by an intuitive experiment
Figure BDA0002401444350000073
A relationship graph line;
s2: the sawtooth wave signal is input by using the signal generator as a power supply, and the change rate of the magnetic field intensity of each half cycle of the sawtooth wave signal is uniform. And matched software is designed, so that a B-t graph appears on a computer stably and does not fluctuate. By changing frequency and voltage several times, the rate of change of B is changed
Figure BDA0002401444350000074
(namely the rising slope K of the B-t graph), observing the B-t graph, the E-t graph and the table data, and observing the K gradually increasing and the E increasing, namely, the visual observation
Figure BDA0002401444350000075
S3: obtaining the slope K of each ascending section of the B-t graph and the corresponding induced electromotive force E by using software, multiplying the coil area S by the magnetic field intensity B to obtain the value of magnetic flux phi, automatically acquiring data by using a computer, wherein the waveform is arranged above an interface, and the table data is arranged below the interface;
s4: multiple groups can be obtained by software
Figure BDA0002401444350000076
E data points and fitted line. It can be seen from this that:
Figure BDA0002401444350000077
is a straight line passing through the origin, indicating
Figure BDA0002401444350000078
At the same time, the computer screen also displays the' correlation coefficient R2The values "all reach more than 3 and 9, E and
Figure BDA0002401444350000079
the degree of correlation is high in direct proportion.
FIG. 3 is a graph showing the relationship between frequency and electromagnetic induction obtained by a Faraday quantitative electromagnetic induction experiment apparatus according to an embodiment of the present invention, and the number of turns n and the voltage U input to the primary coil are maintained as shown in FIG. 3Input deviceThe current frequency f is changed without change, and the magnetic flux change rate is measured by the magnetic field intensity sensor and the angle sensor
Figure BDA00024014443500000710
And an induced electromotive force E, and the research of the change rate of the magnetic flux
Figure BDA0002401444350000081
And (4) relationship. When the number of turns n, the input voltage UInput deviceWhen the frequency of the power supply of the primary coil is not changed, the rate of change of the magnetic flux in the primary coil increases, and the induced electromotive force also increases accordingly. From
Figure BDA0002401444350000082
The result of the curve fitting shows that the induced electromotive force is proportional to the rate of change of the magnetic flux, i.e.
Figure BDA0002401444350000083
FIG. 4 is a graph showing the relationship between voltage and electromagnetic induction obtained by a Faraday quantitative electromagnetic induction experiment apparatus according to an embodiment of the present invention, in which the number of turns n and the frequency f are kept constant, and the input original line is changed, as shown in FIG. 4Voltage U of the ringInput deviceTo realize the research of the change rate of the induced electromotive force E alpha magnetic flux
Figure BDA0002401444350000084
And (4) relationship. When the number of turns n and the frequency f are not changed, the power supply input voltage of the primary coil is increased, the magnetic flux change rate in the primary coil is increased, and the induced electromotive force is correspondingly increased. From
Figure BDA0002401444350000085
The result of the curve fitting shows that the induced electromotive force is proportional to the rate of change of the magnetic flux, i.e.
Figure BDA0002401444350000086
FIG. 5 is a graph showing the relationship between voltage, frequency and electromagnetic induction obtained by a Faraday quantitative electromagnetic induction experiment apparatus according to an embodiment of the present invention, in which the number of turns n is maintained and the voltage U input to the primary coil is changed as shown in FIG. 5Input deviceAnd the frequency f, so as to realize the research on the change rate of the induced electromotive force E alpha magnetic flux
Figure BDA0002401444350000087
And (4) relationship. When the number of turns n is constant, the power input voltage of the primary coil increases simultaneously with the frequency, the rate of change of the magnetic flux in the primary coil increases, and the induced electromotive force increases accordingly. From
Figure BDA0002401444350000088
The result of the curve fitting shows that the induced electromotive force is proportional to the rate of change of the magnetic flux, i.e.
Figure BDA0002401444350000089
FIG. 6 is a diagram showing the relationship between the number of turns of a coil and the electromagnetic induction obtained by a Faraday quantitative electromagnetic induction experiment apparatus, according to an embodiment of the present invention, and the voltage U input to the primary coil is maintained as shown in FIG. 6Input deviceWhen the sum frequency f is not changed, the number of turns n is changed to realize the research of the change rate of the induced electromotive force E alpha magnetic flux
Figure BDA00024014443500000810
And (4) relationship. Holding
Figure BDA00024014443500000811
The number of turns is changed without change, and the induced electromotive force E generated by the coil is proportional to the number of turns n, i.e., E ═ n.
In the experiment, the relation conversion of the induced electromotive force E, the change of current frequency and the change of input voltage is carried out by a direct quantitative verification mode and a conversion mode, so that the difficulty in measuring the magnetic flux phi and the induced electromotive force E is solved by adopting a low-frequency low-voltage method in the process of changing the alternating current frequency and the input voltage, and the Faraday's law of electromagnetic induction is directly and quantitatively verified.
As can be understood from fig. 3 to 6: from the image, the linear equation and the correlation coefficient, E and n,
Figure BDA00024014443500000812
The proportional correlation degree is very high and can be intuitively obtained
Figure BDA00024014443500000813
The relationship (2) of (c). From the tabular data, according to the formula
Figure BDA00024014443500000814
Measured
Figure BDA00024014443500000815
The value multiplied by the number of turns n is the theoretical value of the induced electromotive force. The applied electromotive force E is an actual value directly measured by the voltage sensor. According to
Figure BDA00024014443500000816
Algorithm calculation, four experiments in total are performed, five groups of data are randomly recorded in each experiment computer, the relative error of each group of data is calculated, then the average value is calculated, and the relative error value of the result is as follows: 1.84% of experiment one, 2.18% of experiment two, 1.84% of experiment three and 0.82% of experiment four. The teaching experiment tool is normal in an error range. Can be obtained within the error rangeGo out
Figure BDA00024014443500000817
Is written into
Figure BDA00024014443500000818
When the units of E, n, △ phi and △ t are made of international units, the coefficient k is 1, so that the formula of Faraday's law of electromagnetic induction
Figure BDA0002401444350000091
The results prove that the experimental scheme is feasible and correct, and the design of the experimental device is scientific and reasonable.
The experimental device for Faraday's law of electromagnetic induction effectively solves the problems that the magnetic flux phi of Faraday's law of electromagnetic induction is difficult to directly measure and the magnetic flux change rate in physics teaching
Figure BDA0002401444350000092
The difficulty and the doubtful point problem which can not be directly obtained particularly by four experiments, a plurality of methods, multiple angles and visual waveform data, so that students can very visually see the magnitude of the induced electromotive force E and the change rate of the magnetic flux
Figure BDA0002401444350000093
Proportional ratio, broadens the thought of students, solves the problem of quantitative analysis and fully improves the physical teaching effect.
It will be apparent to those skilled in the art that various modifications and variations can be made to the embodiments of the present invention without departing from the spirit and scope of the invention. In this way, if these modifications and changes are within the scope of the claims of the present invention and their equivalents, the present invention is also intended to cover these modifications and changes. The word "comprising" does not exclude the presence of other elements or steps than those listed in a claim. The mere fact that certain measures are recited in mutually different dependent claims does not indicate that a combination of these measures cannot be used to advantage. Any reference signs in the claims shall not be construed as limiting the scope.

Claims (10)

1. The utility model provides a Faraday electromagnetic induction law ration experimental apparatus, its characterized in that, includes power, magnetic field intensity sensor, data collection station, coil and voltage sensor, the coil includes primary and secondary, the power with primary connects, secondary with voltage sensor connects, voltage sensor and magnetic field intensity sensor access data collection station, secondary include the coil body with set up in the curb plate of coil body both sides, wherein one side be provided with a plurality of terminals of being connected with the coil joint on the curb plate, the opposite side be provided with on the curb plate and be used for fixing magnetic field intensity sensor's support, primary arranges in the inside of coil body.
2. The faraday's law of electromagnetic induction quantitative experimental apparatus as claimed in claim 1, wherein said primary coil and said coil body are both hollow cylindrical structures, and an outer diameter of said primary coil is smaller than an inner diameter of said coil body.
3. The faraday's law of electromagnetic induction quantitative experiment device as claimed in claim 1, wherein said coil body is a coil with variable turns, and at least two wiring taps are provided, said terminal penetrating said side plate, said taps being connected to said terminal at one side of said coil body, said side plate being an acrylic plate.
4. The faraday's law of electromagnetic induction quantitative experiment device as claimed in claim 3, wherein said magnetic field strength sensor is fixed on said support, said primary coil has an inner diameter larger than the diameter of the probe of said magnetic field strength sensor, and said probe extends into said coil body and the interior of said primary coil.
5. The Faraday's law of electromagnetic induction quantitative experimental apparatus according to claim 3, wherein the power supply comprises a signal generator and a power amplifier, the signal generator is connected with the power amplifier, and the power amplifier is connected with the primary coil.
6. The faraday's law of electromagnetic induction quantitative experimental apparatus as claimed in claim 5, wherein said signal generator is a low frequency low voltage output for providing a periodically varying current to said coil to cause said coil to generate a periodically varying magnetic field.
7. The faraday's law of electromagnetic induction quantitative experimental apparatus as claimed in claim 1, wherein said voltage directly measured by said voltage sensor is a measured value of induced electromotive force E, the measured value being measured
Figure FDA0002401444340000011
The value multiplied by the number of turns n is the theoretical value of the induced electromotive force.
8. The Faraday's law of electromagnetic induction quantitative experimental apparatus of claim 1, further comprising a computer, wherein the data collector is in communication connection with the computer.
9. The faraday' S law of electromagnetic induction quantitative experimental apparatus as claimed in claim 8, wherein said magnetic field intensity sensor and said voltage sensor are utilized, and by measuring area S of said coil and magnetic field intensity B measured by said magnetic field intensity sensor, said computer design software automatically calculates to obtain magnetic flux Φ ═ BS value.
10. The Faraday's law of electromagnetic induction quantitative experimental apparatus of claim 8, wherein the experimental investigation is directly and quantitatively verified by outputting waveform data visually on the screen of the computer through four experiments by changing the number of turns, voltage and frequency and matching with the special software of the computer.
CN202010148016.2A 2020-03-05 2020-03-05 Faraday's law of electromagnetic induction ration experimental apparatus Pending CN111199673A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115810303A (en) * 2021-09-14 2023-03-17 南开大学 Novel Faraday electromagnetic induction experiment device

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115810303A (en) * 2021-09-14 2023-03-17 南开大学 Novel Faraday electromagnetic induction experiment device

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