《大学物理实验》课程教学课件（PPT讲稿）谐振法测电感 measure inductance（英文）

Measureinductance1 Understand experiment principle2 Design schemeformeasure(experimentalprocedure)3 Draw up Circuit diagram4Makea datatable5 Make data processing method clear版权：武汉理工大学物理实验中心：黄勇E-mail:hy2000@whut.edu.cn

Measure inductance 1 Understand experiment principle 2 Design scheme for measure （experimental procedure) 3 Draw up Circuit diagram 4 Make a data table 5 Make data processing method clear 版权：武汉理工大学物理实验中心：黄勇 E-mail:hy2000@whut.edu.cn

Measureinductance withthe resonance methodExperimentPurpose:1.UseresistanceboxR、inductanceL、capacitanceboxC、Signal generatorS、oscilloscopeXandsoontodesigna Circuitdiagramfor measure resonancefrequencyfo,and observeresonancephenomenon:2.Calculate inductance value and writetheexpressionofinductanceL=L±u

Measure inductance with the resonance method Experiment Purpose: 1. Use resistance box R、 inductance L、 capacitance box C、Signal generator S、 oscilloscope X and so on to design a Circuit diagram for measure resonance frequency f0 , and observe resonance phenomenon . 2. Calculate inductance value and write the expression of inductance L L = L  u

Experiment Principle:RLC Series resonant circuitAAc circuit(Zr=r; Z=iwL;Zc=1/iwc)福We can see out from Vector diagram:z + (z-ze) = r2+oL-seZseries =eszmole = /Zz + (Zz-Z) = /(r+R)+(oL-OCRLC Series circuitbecause : R)>rDZLUso.,current: I =ZL-ZcZ串QolZrPhasedifference betweenZcOcCurrent and voltage :@=arctanVector diagramR

1 Experiment Principle: RLC Series resonant circuit ZL ZC Zr zL -zc Z串 D Ac circuit(Zr= r； ZL=iωL;ZC=1/i ωc) We can see out from Vector diagram： B A U R C r L Zse ries C ( ) 2 2 2 L C 2 s e r i e s r ω C 1 z Z Z Z r ω L       = + − = + − 2 2 ) 1 ( C R L U I  +  − so.,current: = Phase difference between Current and voltage : R c l    1 arctan − = ( ) 2 2 2 L C 2 r R ω C 1 z Z Z Z ( r R ) ω L       whole = + + − = + + − because : R r Vector diagram RLC Series circuit

1 Experiment Principle:RLC Series resonante circuitAGZseries = Z + (Z,-Ze)OI=wC福olPhase difference betweenSoc=arctanCurrent and voltage:oRwhenwL=1/wc,Zseriesisminimum obviously,BICSeriescircuitisresonante,(why?),atsametime,theAcvoltagebetweenAandCisDmaximum.(this is the method)ZLZ-ZcZseriesSo,whenweconfirmtheACvoltagebetweenAandCismaximum,Itmeans thatSeries circuitis resonante and we getwL=1/wc1ZrZcLSo inductanceL :二1(2元)℃Weget this formula:

1 Experiment Principle: RLC Series resonante circuit zL -zc ZL ZC Zr Zseries D when ωL=1/ωc， Zseries is minimum obviously， Series circuit is resonante，(why?) ,at same time, the Ac voltage between A and C is maximum. (this is the method) So, when we confirm the AC voltage between A and C is maximum, It means that Series circuit is resonante and we get ωL=1/ωc So inductance L ： We get this formula: (2πf ) C 1 L 2 0 = ( ) 2 2 2 L C 2 s e r i e s r ω C 1 z Z Z Z r ω L       = + − = + − B A U R C r L Zsi ries C Phase difference between Current and voltage : R c l    1 arctan − =

2. Experiment Principle: RLC parallel resonant circuitRoscilloscopeZparallelLThe imaginary form of impedance in parallel resonant circuit is:1(oL-ir)1ioL+r7parallelparalleliocri+i(oLAfterderivation

2. Experiment Principle: RLC parallel resonant circuit oscilloscope + - + - C rL L R US The imaginary form of impedance in parallel resonant circuit is: parallel L i L r i C Z + = +   1 1 1 1 ) 1 ( ) 1 ( )( ~ C r i L C L ir Z L L parallel     + − − = Zparallel After derivation