CN211555273U - 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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CN211555273U
CN211555273U CN202020259887.7U CN202020259887U CN211555273U CN 211555273 U CN211555273 U CN 211555273U CN 202020259887 U CN202020259887 U CN 202020259887U CN 211555273 U CN211555273 U CN 211555273U
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coil
electromagnetic induction
magnetic field
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康良溪
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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 utility model discloses an experimental apparatus simple structure, operation are swift, the controllability is good, adopt four kinds of methods multi-angles, direct ration, and Faraday's electromagnetic induction law is visited directly perceived to waveform and data directly perceived.

Description

Faraday's law of electromagnetic induction ration experimental apparatus
Technical Field
The utility model relates to a physics experimental apparatus to in particular to Faraday's law of electromagnetic induction ration experimental apparatus.
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 BDA0002401442640000011
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 utility model CN109036048A discloses an experimental device and an experimental method for Faraday's law of electromagnetic induction, which comprises a variable frequency power supply for teaching, a vibration table for teaching, a strong magnet, a square coil and an oscilloscope for teaching, wherein the two experimental methods are indirect verifications, the technical scheme of the utility model is a ' cutting magnetic field ' method, ① keeps the frequency f unchanged, changes the voltage, namely, the magnetic flux phi is changed, induced electromotive force E is read by the grid number of the oscilloscope, the magnetic field intensity B and the magnetic flux phi value can not be measured, and the indirect verification is that
Figure BDA0002401442640000012
② keeping the supply voltage constant, i.e. changing the frequency f, i.e. changing, depending on the magnetic flux phiDelta t, reading induced electromotive force E through oscilloscope grids, and indirectly verifying
Figure BDA0002401442640000013
Figure BDA0002401442640000014
The experimental processes of the two methods are manual data recording, manual data processing and drawing, and the two methods are traditional experimental methods.
Also like chinese utility model patent CN102136214B provides a faraday electromagnetic induction experimental apparatus, including magnetic induction sensor, voltage sensor, data collection station, computer. It can quantitatively research the variation rate of induced electromotive force E and magnetic induction intensity
Figure BDA0002401442640000021
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 BDA0002401442640000022
Then indirectly explain through the words
Figure BDA0002401442640000023
And (4) relationship.
SUMMERY OF THE UTILITY MODEL
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 BDA0002401442640000024
Relation, the utility model provides a Faraday's law of electromagnetic induction ration experimental apparatus for solve above-mentioned and following technical problem, four kinds of experiments are studied to the technical problem, the multi-method, and the multi-angle realizes direct ration, directly perceived formula of exploring
Figure BDA0002401442640000025
Magnitude and magnetic flux change rate of induced electromotive force E
Figure BDA0002401442640000026
And the proportional relation of the number n of the coil turns.
The utility model provides a new Faraday's electromagnetic induction law's experimental apparatus to present internal same field research existing problem: (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 example of "Chinese Utility model patent CN 109036048A" is an indirect verification experiment. (2) Some studies have quantified the test by measuring the rate of change of current
Figure BDA0002401442640000027
Derivation of
Figure BDA0002401442640000028
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 BDA0002401442640000029
Then derived
Figure BDA00024014426400000210
Final indirect derivation
Figure BDA00024014426400000211
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 BDA00024014426400000212
Can not be obtained, and domestic research has not seen that the magnetic flux change rate can be measured
Figure BDA00024014426400000213
The laboratory instrument of (1).
The utility model provides a and implement the technical scheme who solves to the above-mentioned problem of proposing: (1) carry out new design to the coil for the coil can switch and magnetic field intensity sensor can directly be fixed in on the coil between five groups turn, and the coil changes the turn and switches convenient and fast, and the experiment is measured and can be acquireed five groups of experimental data points, draws data fitting graph line science, device simple 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 BDA0002401442640000031
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 physical quantities is more than 3 and more than 9, which shows that the correlation degree of the studied related physical quantities is very high, and the experimental error is very small due to the very high correlation degree, the utility model has the characteristics of 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 BDA0002401442640000032
In a graph that is the abscissa of the graph,
Figure BDA0002401442640000033
the "correlation coefficient R" of2The values "all reach more than 3 and 9, and the correlation degree of the two physical quantities which are in direct proportion 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 BDA0002401442640000034
Proportional ratio, broadens the thought of students, solves the problem of quantitative analysis and fully improves the physical teaching effect.
According to the utility model discloses an aspect provides a Faraday electromagnetic induction ration experimental apparatus, the device includes the power, 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 access 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 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 obtained using a faraday electromagnetic induction quantification experiment apparatus according to an embodiment of the present invention;
fig. 4 is a graph of voltage versus electromagnetic induction obtained using a faraday electromagnetic induction quantification experiment apparatus in accordance with an embodiment of the present invention;
fig. 5 is a graph of voltage, frequency and electromagnetic induction obtained using a faraday electromagnetic induction quantitative experiment apparatus according to an embodiment of the present invention;
fig. 6 is a graph of the number of turns of a coil obtained by a faraday electromagnetic induction quantitative experiment apparatus according to a specific 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 shows a perspective view of 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 BDA0002401442640000051
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 structural diagram of the primary coil and the secondary coil of a specific 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 correspondingly connected to the 6 terminals 45 on the left fixing plate 44 of the coil, the turns of 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 2 or more, the terminals 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 the experimental requirements, and the technical effects of the present invention can be realized as well.
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 realized that the parametric selection of curb plate material, thickness and enameled wire can select other suitable materials, thickness isoparametric to carry out the preparation of curb plate, coil according to actual demand, can realize equally the utility model discloses a technological effect.
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 this application utility model people's a lot of experiments, primary coil 5 and secondary coil 4's length selection 80mm can obtain the experimental effect of preferred. 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 above-mentioned experimental apparatus, table 1 shows the utility model discloses a faraday's electromagnetic induction law ration experimental apparatus of an embodiment can go on experimental content for directly perceivedly explore the formula
Figure BDA0002401442640000061
Magnitude and magnetic flux change rate of induced electromotive force E
Figure BDA0002401442640000071
And the relation of each parameter in a proportional relation calculation formula of the number n of the coil turns:
table 1:
Figure BDA0002401442640000072
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 BDA0002401442640000073
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 BDA0002401442640000074
(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 BDA0002401442640000075
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 BDA0002401442640000076
E data points and fitted line. It can be seen from this that:
Figure BDA0002401442640000077
is a straight line passing through the origin, indicating
Figure BDA0002401442640000078
At the same time, the computer screen also displays the' correlation coefficient R2The values "all reach more than 3 and 9, E and
Figure BDA0002401442640000079
the degree of correlation is high in direct proportion.
Fig. 3 shows a graph of the relationship between frequency and electromagnetic induction obtained by the faraday electromagnetic induction quantitative experiment device according to a specific embodiment of the present invention, as shown in fig. 3, the number of turns n and the voltage U input to the primary coil are maintainedInput 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 BDA00024014426400000710
And an induced electromotive force E, and the research of the change rate of the magnetic flux
Figure BDA0002401442640000081
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 BDA0002401442640000082
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 BDA0002401442640000083
Fig. 4 shows a graph of the relationship between voltage and electromagnetic induction obtained by the faraday electromagnetic induction quantitative experiment device according to a specific embodiment of the present invention, as shown in fig. 4, the number of turns n and the frequency f are kept unchanged, and the voltage U input to the primary coil is changedInput deviceTo realize the research of the change rate of the induced electromotive force E alpha magnetic flux
Figure BDA0002401442640000084
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 BDA0002401442640000085
Figure BDA0002401442640000086
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 BDA0002401442640000087
Fig. 5 shows a relationship diagram of voltage, frequency and electromagnetic induction obtained by a faraday electromagnetic induction quantitative experiment device according to a specific embodiment of the present invention, as shown in fig. 5, the number of turns n is maintained, and the voltage U input to the primary coil is changedInput deviceAnd the frequency f, so as to realize the research on the change rate of the induced electromotive force E alpha magnetic flux
Figure BDA0002401442640000088
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 BDA0002401442640000089
In relation to (2)The curve fitting results show that the induced electromotive force is proportional to the rate of change of the magnetic flux, i.e.
Figure BDA00024014426400000810
Fig. 6 shows a graph of the relationship between the number of turns of the coil and the electromagnetic induction obtained by the faraday electromagnetic induction quantitative experiment device according to a specific embodiment of the present invention, as shown in fig. 6, the voltage U input to the primary coil is maintainedInput 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 BDA00024014426400000811
And (4) relationship. Holding
Figure BDA00024014426400000812
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 BDA00024014426400000813
The proportional correlation degree is very high and can be intuitively obtained
Figure BDA00024014426400000814
The relationship (2) of (c). From the tabular data, according to the formula
Figure BDA00024014426400000815
Measured
Figure BDA00024014426400000816
Numerical valueThe number of turns n multiplied by 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 BDA00024014426400000817
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. Within the error range
Figure BDA0002401442640000091
Is written into
Figure BDA0002401442640000092
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 BDA0002401442640000093
The results prove that the experimental scheme is feasible and correct, and the design of the experimental device is scientific and reasonable.
The utility model provides an experimental apparatus of Faraday's law of electromagnetic induction has solved effectively in the physics teaching about Faraday's law of electromagnetic induction's magnetic flux phi be difficult to direct measurement, the magnetic flux rate of change
Figure BDA0002401442640000094
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 BDA0002401442640000095
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 in 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 FDA0002401442630000011
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.
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