CN202534235U - Quantitative research instrument for Faraday's law of electromagnetic induction - Google Patents

Quantitative research instrument for Faraday's law of electromagnetic induction Download PDF

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CN202534235U
CN202534235U CN2012201686556U CN201220168655U CN202534235U CN 202534235 U CN202534235 U CN 202534235U CN 2012201686556 U CN2012201686556 U CN 2012201686556U CN 201220168655 U CN201220168655 U CN 201220168655U CN 202534235 U CN202534235 U CN 202534235U
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faraday
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electromagnetic induction
photogate
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蔡芯璐
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Abstract

A quantitative research instrument for Faraday's law of electromagnetic induction relates to an electromagnetics teaching instrument. Provided is the quantitative research instrument for Faraday's law of electromagnetic induction, according to the quantitative research instrument, a control variable method is adopted to comprehensively perform a quantitative demonstration or research on the Faraday's law of electromagnetic induction. The quantitative research instrument is provided with a base, an inclined plane, an excitation car, a photoelectric gate, an induction coil and a power supply, a voltage sensor and a data collector; the inclined plane which is fixed on the base is provided with an inclined bottom plate and an inclined lifting bracket; the excitation car is provided with a car, an electromagnet bracket, an iron core, an excitation coil, a counterweight block, an excitation coil wiring terminal and a light barrier sheet, wherein the car is used for fixing the electromagnet, the excitation coil wiring terminal is externally connected with a direct current voltage-stabilized power source, the photoelectric gate is arranged on a photoelectric gate lifting frame which is used for regulating the height of the photoelectric gate, the photoelectric gate is connected with the data collector, the bottom portion of the induction coil is provided with an induction coil base and an induction coil wiring terminal, wherein the induction coil wiring terminal is externally connected with the voltage sensor; and the voltage sensor is connected with the data collector, and the data collector is connected with a computer.

Description

The quantitative exploring instrument of Faraday's electromagnetic induction law
Technical field
The utility model relates to a kind of electromagnetics teaching instrument, especially relates to the quantitative exploring instrument of a kind of Faraday's electromagnetic induction law.
Background technology
Faraday had found electromagnetic induction phenomenon in 1831, provided through mathematical derivation but the mathematical formulae of the law of electromagnetic induction is promise Eman in 1845, and Faraday's electromagnetic induction law is electromagnetic important content, also is the important content of middle school physics teaching material.Because on existing physics teaching material; Faraday's electromagnetic induction law all is to provide through after the qualitative examination; The teaching aid that does not have quantitative examination; Therefore can not let the student under the prerequisite of oneself quantitatively probing into, oneself draw Faraday's electromagnetic induction law, can't quantitatively demonstrate comprehensively or probe into Faraday's electromagnetic induction law
Figure BDA0000154889480000011
with control variate method
The existing many reports of the teaching demonstration instrument of relevant Faraday's electromagnetic induction law and research, for example:
Chinese patent CN201707818U discloses a kind of Faraday's electromagnetic induction law device of quantitatively probing into: have a base; The base upper end is installed with a long straight tube, in the long straight tube bottom tube foam-rubber cushion is installed, and the positive middle part of long straight tube has the window of certain-length; The portrayal of window side has altitude scale; The lower outside of long straight tube is wound with some circle enameled wires, and the different numbers of turn of enameled wire place has some taps, and the tap of enameled wire is connected to voltage sensor; Voltage sensor is connected to data acquisition unit, and data acquisition unit is connected to computing machine; Also have an iron staff, iron staff is around with some circle enameled wires, and the two ends of enameled wire are stretched out iron staff and connected through lead with student's power supply, reometer, slide rheostat, key switch and form the loop.
Chinese patent CN201004283 discloses a kind of in teaching, being used for to student demonstration and the device of probing into Faraday's electromagnetic induction law that lets student experiment in group use.Its technical scheme is: utilize a driving-belt to drive permanent magnet and pass coil, can control the speed of power wheel, to guarantee that permanent magnet passes coil with different speed, produce different induction electromotive forces, quantitatively probe into Faraday's law.But the process of probing into can only verify that
Figure BDA0000154889480000012
method is loaded down with trivial details by round-about way; Checking E ∝ n data set number is not enough, and not enough science is with directly perceived.
Second on full-time common senior middle school textbook " physics " (required adding takes as an elective course) (People's Education Publishing House 2003 June the 1st edition); Regular senior secondary school curricular standard experiment textbook " physics " is taken as an elective course 1-1 (People's Education Publishing House 2004 May the 3rd edition) and regular senior secondary school's curricular standard experiment textbook " physics " and is taken as an elective course the experimental provision of probing into Faraday's electromagnetic induction law that 3-2 (Shandong science tech publishing house 2008 August the 2nd edition) provides and can only qualitatively probe into that bar magnet inserts or extract coil and induction current is big or small; Relation between the direction.Draw materials easily, directly perceived.Can not quantitatively probe into the relation of E ∝ n, ΔΦ, 1/ Δ t.
(Wu Dinan such as Wu Dinan; Wu Xiangzhi. Faraday's electromagnetic induction law digital experiment appearance. Physical Experiment; 2009, the process of probing into of the Faraday's electromagnetic induction law digital experiment appearance of 10:20) reporting can only add the method for derivation indirectly and come the verifying electromagnetic induction law, and method is loaded down with trivial details.Can't come quantitatively to probe into the relation of E ∝ n, ΔΦ, 1/ Δ t with control variate method.
Wu Yuejiang (Wu Yuejiang. quantitatively probing into of Faraday's electromagnetic induction law. instruments used for education and experiment; 2010; The process of probing into of quantitatively probing into of the Faraday's electromagnetic induction law of 10:14) reporting can only add the method for derivation indirectly and come the verifying electromagnetic induction law, and method is loaded down with trivial details.Can't come quantitatively to probe into the relation of E ∝ n, ΔΦ, 1/ Δ t with control variate method.
Gao Shougui (Gao Shougui. the experimental design of checking Faraday's electromagnetic induction law. the physics teaching in secondary school reference; 2004; 9) experimental design of the checking Faraday's electromagnetic induction law of report, the relation that can't come quantitatively to probe into E ∝ n, ΔΦ, 1/ Δ t with control variate method.
The coil turn of the Faradic electricity magnetic induction tester V1.0 that the Shandong Province Yuanda Network Media Co., Ltd produces can only change three times, and is through the relation that the compared proportions relation indirect is probed into E and n, scientific not enough; In addition, can not study the relation of E and ΔΦ, also can't come quantitatively to probe into the relation of E ∝ n, ΔΦ, 1/ Δ t with control variate method.
Summary of the invention
The purpose of the utility model is to provide a kind of quantitative exploring instrument of Faraday's electromagnetic induction law of quantitatively demonstrating comprehensively or probing into control variate method.
The utility model is provided with base, inclined-plane, excitation dolly, photogate, inductive coil and power supply, voltage sensor, data acquisition unit; Said inclined-plane is fixed on the base, and said inclined-plane is provided with inclined-plane base plate and inclined-plane lifting support; Said excitation dolly is provided with dolly, electromagnet stent, iron core, field coil, balancing weight, field coil binding post and light barrier; Dolly is used for fixing electromagnet, the external D.C. regulated power supply of field coil binding post, and said photogate is located on the photogate crane; Said photogate crane is used to regulate the height of photogate; Photogate is connected with data acquisition unit, is provided with inductive coil base and inductive coil binding post, inductive coil binding post external voltage sensor in the inductive coil bottom; Said voltage sensor connects data acquisition unit, the external computing machine of said data acquisition unit.
Said base bottom can be provided with fixing feet, and said fixing feet is used for base is stuck in the desk edge, and is mobile to prevent that the excitation dolly from causing when clashing into inductive coil.
Said base can adopt the stainless steel square tube of 20mm to be welded.
The utility model passes through dolly, photogate, multiturn coil and the supporting experiment software that differing heights freely glides on the inclined-plane; The application controls quantity method, adopt the digital experiment means realized to formula
Figure BDA0000154889480000021
comprehensively, intuitively, accurately, quantitatively probe into efficiently.Can pass through coding; Design a key menu and fast obtain related coefficient (8 steps became for 1 step); Fast provide the equation of fitting a straight line and the definition of related coefficient; Real active computer fast writes down, handles, analyzes data, exports the purpose of probing into experimental result, makes to the utlity model has perfect digital experiment function.For the teaching material under " new class mark " provides the supporting modern experimental apparatus of quantitatively probing into comprehensively, has higher utility.
At present; In the pertinent instruments that digital information (DIS) experimental system of general thing experiment, the new and old teaching material of middle school physics (people teaches society, Shan Dongshe, Guang Dongshe), network data, " senior middle school's science teaching apparatus preparation standard " and domestic new development etc. are introduced, experimental provision, experiment content and the circumscribed analysis of causes thereof of relevant announcement Faraday's electromagnetic induction law are following:
1. not comprehensive.All there is the deficiency that can't quantitatively demonstrate comprehensively or probe into Faraday's electromagnetic induction law
Figure BDA0000154889480000031
with control variate method in all experimental provisions.
2. quantitatively few.All experimental provisions can only be qualitative demonstrations or verify Faraday's electromagnetic induction law indirectly; At most also can only quantitatively probe into the relation of E ∝ 1/ Δ t or
Figure BDA0000154889480000032
indirectly; Moreover their experimental technique is loaded down with trivial details, and experimental result is not directly perceived.
Adopt control change of variable comprehensive visual rationing that method realizes
Figure BDA0000154889480000033
to probe into and comprise three aspects:
1. as n, when ΔΦ is constant, E ∝ 1/ Δ t;
2. as n, when Δ t is constant, E ∝ ΔΦ;
3. when ΔΦ, when Δ t is constant, E ∝ n.
Compare with existing Faraday's electromagnetic induction law teaching demonstration instrument, the utlity model has following outstanding advantage:
1) adopt control variate method and digital experiment means to realize that direct quantitative respectively probes into the relation of E ∝ 1/ Δ t in the formula
Figure BDA0000154889480000034
, E ∝ ΔΦ, E ∝ n.
2) design differing heights freely glides on the inclined-plane dolly, photogate realizes measuring Δ t of pairing time of magnetic flux change, comes quantitatively to probe into the purpose of the relation of E ∝ 1/ Δ t.
3) design excitation dolly is controlled the size of magnetic flux through changing current of electromagnet, and the purpose of the relation of E ∝ ΔΦ is quantitatively probed in realization.
4) design some multiturn coils, the purpose of the relation of E ∝ n is quantitatively probed in realization.
5) allocation function of contrived experiment software, coding design a key menu and fast obtain related coefficient (8 steps became for 1 step), fast provide the equation of fitting a straight line and the definition of related coefficient, make to the utlity model has perfect digital experiment function.
6) compare with similar project, the realization of the utility model digital experiment method is probed into the law of electromagnetic induction comprehensively, and quantitatively accurately; Visual and understandable; Swift to operate, draw materials easily, with low cost; Embody the design concept that realizes target with the simplest method, for the teaching material under " new class mark " provides the supporting experimental apparatus of quantitatively probing into.
7) can be the quantitative demonstration that classroom instruction provides law of electromagnetic induction formula; Especially can be the high school student probes into Faraday's electromagnetic induction law and provides and quantitatively probe into experiment; Change the present situation of " teacher inculcates, classmate parrot formula ", remedy textbook and the supporting deficiency of experiment.
Description of drawings
Fig. 1 is that the structure of the utility model embodiment is formed synoptic diagram.
Fig. 2 is that the excitation vehicle structure of the utility model embodiment is formed synoptic diagram.
Fig. 3 is that the inductive coil structure of the utility model embodiment is formed synoptic diagram.
Embodiment
Referring to Fig. 1~3, the utility model embodiment is provided with base 1, inclined-plane 2, excitation dolly 3, photogate 4, inductive coil 5 and power supply, voltage sensor, data acquisition unit; Said inclined-plane 2 is fixed on the base 1, and said inclined-plane 2 is provided with inclined-plane base plate and inclined-plane lifting support 21; Said excitation dolly 3 is provided with dolly 31, electromagnet stent 32, iron core 33, field coil 34, balancing weight 35, field coil binding post 36 and light barrier 37; Dolly 31 is used for fixing electromagnet; Field coil binding post 36 external D.C. regulated power supplies; Said photogate 4 is located on the photogate crane 41, and said photogate crane 41 is used to regulate the height of photogate 4, and photogate 4 is connected with data acquisition unit; Be provided with inductive coil base 51 and inductive coil binding post 52 in inductive coil 5 bottoms, inductive coil binding post 52 external voltage sensors; Said voltage sensor connects data acquisition unit, the external computing machine of said data acquisition unit.
Said base 1 bottom can be provided with fixing feet 11, and said fixing feet 11 is used for base is stuck in the desk edge, and is mobile to prevent that the excitation dolly from causing when clashing into inductive coil.
Said base 1 can adopt the stainless steel square tube of 20mm to be welded.
Dolly 31 adopts the less four-wheel plastics dolly of friction force, mainly is used for carrying and fixed electromagnet, and gliding through the differing heights of dolly on the inclined-plane changes being in the light the time of light barrier, thus the variation of control Δ t.Electromagnet stent 32 adopts the plastic water pipe of external diameter 30mm, length 246.5mm to make; The iron core 33 of length 91mm is housed in the left end pipe; The enameled wire of coiling diameter d=0.25mm regularly outside plastic tube; The number of turn is the field coil 34 of 0-1000-2000-3000, and the right side of plastic tube is installed balancing weight 35 and is used for the balance electromagnet, and dolly can be stably freely glided having on the inclined-plane of track.Field coil binding post 36 external D.C. regulated power supplies change the magnetic field intensity of electromagnet through the electric current that changes field coil, thereby control the variation of magnetic flux.Light barrier 37 is contained on the dolly, is used for measuring Δ t of pairing time of magnetic flux change ΔΦ, and the purpose of the relation of E ∝ 1/ Δ t, ΔΦ is quantitatively probed in realization.
Inductive coil can adopt organic plates to make the annulus that 2 interior external diameters are respectively 47mm, 80mm; Being enclosed within internal diameter more respectively is that 36.6mm, length are the two ends of the plastic tube of 84.9mm; As the support that twines enameled wire; Then on the support regularly around on the copper enameled wire, and reserve 6 taps, the number of turn is the 0-2000-4000-6000-8000-10000 circle.Make with poly (methyl methacrylate) plate that a length is respectively 100.5,75, the rectangular parallelepiped of 25.3mm, an end opening is installed the binding post of 6 taps as the base of inductive coil and in two sides, realizes quantitatively probing into the purpose of the relation of E ∝ n.
The utility model adopts the sensor component of Shandong long-range network multimedia company production, and has designed the experiment software of Faraday's electromagnetic induction law, and its interface has following some function:
1. EDR form interface has had the writing function of Δ t, ΔΦ, n, and can hide.
2. the graphic interface function can match E-1/ Δ t, E-ΔΦ and E-n image, graphic interface can be respectively to the linear fit of E-1/ Δ t, E-ΔΦ and E-n and provide corresponding straight-line equation.
3. the shortcut icon that has E-1/ Δ t, E-ΔΦ, E-n image and correlation coefficient r makes and in the excel form, asks related coefficient to want 8 to go on foot the shortcut that became for 1 step originally, and the definition of related coefficient has been provided explanation.
4. the interface that will test form and image separates, and increases visibility, and effect is more directly perceived.
During use, voltage sensor, photogate sensor are connected with the digital collection device, connect computing machine.The current precision of the utility model is 0.01A, and the precision of the number of turn is 1N, and the light barrier time measurement accuracy that is in the light is 10 -4S, the uncertainty of being tried to achieve induction electromotive force by the computing formula of uncertainty is Δ E=0.02V, and promptly the precision of the utility model is 0.02V, and it is suitable therefore selecting voltage sensor measuring accuracy 0.01V and reometer measuring accuracy 0.01A.
N, Δ φ are constant in control, the relation of research E with
Figure BDA0000154889480000051
:
Power taking magnet current I=0.15A; Number of inductive coil turns n=10000N; Let dolly freely glide at the differing heights on inclined-plane; Experimental system writes down corresponding induction electromotive force size automatically and is in the light time Δ t at record form; Click 1/ Δ t icon display Δ t value corresponding, probe into relation tables of data as shown in table 1.As clicking
Figure BDA0000154889480000053
image " icon gets into the image function interface discrete point that draws; click " linear fit " icon again and simulate straight line; repeatedly click size and definition that " related coefficient " icon provides straight-line equation, related coefficient, the match graphic interface of the relation of probing into
Figure BDA0000154889480000054
of can being correlated with.
The tables of data of relation that table 1 is probed into
Figure BDA0000154889480000055
Number of times 1 2 3 4 5 6
E/V 0.94 1.52 1.73 2.06 2.34 2.39
Δt/s 0.1074 0.0675 0.0588 0.0492 0.0446 0.0410
1/Δt 9.311 14.815 17.007 20.325 22.422 24.390
Voltage U=1.48V.
Conclusion: correlation coefficient r=0.9963, in error range
Figure BDA0000154889480000061
N, Δ t are constant in control, the relation of research E and Δ φ:
Get n=10000N; Δ t=0.0639S (constant in the error range); Let dolly freely glide at the sustained height on inclined-plane, experimental system writes down corresponding induction electromotive force size automatically and is in the light the time at record form, the Δ φ of corresponding 1 unit when the regulation electromagnet current is 0.05A; The pairing numerical value of input Δ φ in form, the tables of data of probing into E-Δ φ relation is as shown in table 2.Get into the image function interface discrete point that draws as clicking " E-Δ φ image " icon; Click " linear fit " icon again and simulate straight line; Repeatedly click size and definition that " related coefficient " icon provides straight-line equation, related coefficient, can probe into the graphic interface of E-Δ φ relation.
Table 2 is probed into the tables of data of E-Δ φ relation
Number of times 1 2 3 4 5 6
E/V 0.67 1.13 1.57 2.09 2.67
Δt/s 0.0639 0.0638 0.0643 0.0642 0.0639
Δφ 1 2 3 4 5
Voltage U=2.02V, regulation is when electric current is 0.05A, Δ φ is a unit.
Conclusion: correlation coefficient r=0.9983; Wherein
Figure BDA0000154889480000062
imports with keyboard;
Figure BDA0000154889480000063
control
Figure BDA0000154889480000064
Δ t is constant in error range, the relation of research E and n:
Power taking magnet current I=0.25A; Δ t=0.0576S (constant in the error range); When n=2000,4000,6000,8000,10000N, let dolly freely glide respectively at the sustained height on inclined-plane, experimental system writes down corresponding induction electromotive force size automatically and is in the light the time at record form; The pairing numerical value of input n in form, the tables of data of probing into the E-n relation is as shown in table 3.Click " E-n image " icon and get into the image function interface discrete point that draws; Click " linear fit " icon again and simulate straight line; Repeatedly click size and definition that " related coefficient " icon provides straight-line equation, related coefficient, can probe into the graphic interface of E-n relation.
Table 3 is probed into the tables of data of E-n relation
Number of times 1 2 3 4 5 6
E/V 0.54 1.14 1.80 2.47 2.95
Δt/s 0.0576 0.0574 0.574 0.0570 0.0571
Number of turn n 2000 4000 6000 8000 10000
Voltage U=2.25V.
Conclusion: correlation coefficient r=0.9986, wherein n imports with keyboard, E ∝ n in error range.
To sum up experiment; In error range, can draw
Figure BDA0000154889480000071
and write as
Figure BDA0000154889480000072
when the unit of E, n,
Figure BDA0000154889480000073
Δ t uses International System of Units; Coefficient k=1 wherein; Therefore have Faraday's electromagnetic induction law formula
Figure BDA0000154889480000074
result to prove that experimental program is feasible, correct, the experimental provision design is scientific and rational.
During experiment, the fixing feet 11 of experiment base should be stuck in the edge of laboratory table, prevents that electromagnet from inserting mobile that the inductive coil bump causes.The width that photogate is a bit larger tham light barrier near the distance of inductive coil gets final product, and the electric current of the long-time energising of field coil should be controlled at below the 0.20A, prevents that coil heating severity from burning out, and makes to change magnetic flux experiment short-time current maximum adjustable to 0.40A.Before each experiment, put dolly earlier well and click " opening entry " at experiment software form interface again, discharge dolly then and freely glides, the automatic record data of form ability at the height on inclined-plane.

Claims (3)

1. the quantitative exploring instrument of Faraday's electromagnetic induction law is characterized in that being provided with base, inclined-plane, excitation dolly, photogate, inductive coil and power supply, voltage sensor, data acquisition unit; Said inclined-plane is fixed on the base, and said inclined-plane is provided with inclined-plane base plate and inclined-plane lifting support; Said excitation dolly is provided with dolly, electromagnet stent, iron core, field coil, balancing weight, field coil binding post and light barrier; Dolly is used for fixing electromagnet, the external D.C. regulated power supply of field coil binding post, and said photogate is located on the photogate crane; Said photogate crane is used to regulate the height of photogate; Photogate is connected with data acquisition unit, is provided with inductive coil base and inductive coil binding post, inductive coil binding post external voltage sensor in the inductive coil bottom; Said voltage sensor connects data acquisition unit, the external computing machine of said data acquisition unit.
2. the quantitative exploring instrument of Faraday's electromagnetic induction law as claimed in claim 1 is characterized in that said base bottom is provided with the fixing feet that is used for base is stuck in the desk edge.
3. the quantitative exploring instrument of Faraday's electromagnetic induction law as claimed in claim 1 is characterized in that said base adopts the stainless steel square tube of 20mm to be welded.
CN2012201686556U 2012-04-19 2012-04-19 Quantitative research instrument for Faraday's law of electromagnetic induction Expired - Fee Related CN202534235U (en)

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Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104064089A (en) * 2014-07-03 2014-09-24 张新宇 Comprehensive experiment exploration platform for Ampere force
CN105632301A (en) * 2016-01-20 2016-06-01 西华师范大学 Analysis exploration demonstration device related to Faraday's law of electromagnetic induction
CN108831265A (en) * 2018-07-09 2018-11-16 陈继珍 A kind of physical teaching aid and teaching method for electromagnetic induction demonstration
CN111199673A (en) * 2020-03-05 2020-05-26 福建省同安第一中学 Faraday's law of electromagnetic induction ration experimental apparatus

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104064089A (en) * 2014-07-03 2014-09-24 张新宇 Comprehensive experiment exploration platform for Ampere force
CN105632301A (en) * 2016-01-20 2016-06-01 西华师范大学 Analysis exploration demonstration device related to Faraday's law of electromagnetic induction
CN108831265A (en) * 2018-07-09 2018-11-16 陈继珍 A kind of physical teaching aid and teaching method for electromagnetic induction demonstration
CN108831265B (en) * 2018-07-09 2020-07-07 武汉利睿合网络科技有限公司 Physical teaching aid and teaching method for electromagnetic induction demonstration
CN111199673A (en) * 2020-03-05 2020-05-26 福建省同安第一中学 Faraday's law of electromagnetic induction ration experimental apparatus

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