PHY132_L19 - Classical Physics II Classical Physics II...

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lassical Physics II Classical Physics II PHY132 Lecture 19 Mutual and Self Inductance Lecture 19 1 03/15/2010
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Changing the Angle between Changing the Angle between A, , B Consider a static and uniform B -field to the right. A wire loop ( N windings, area A ) rotates around an axis erpendicular to erpendicular to the paper) with perpendicular to B (perpendicular to the paper), with constant angular velocity ω : –Thus on ly the relative orientation of B nd aries ith time A x θ B,A = ω t B and A varies with time… –The change in f lux : ω  B d d t dt  BA cos( ) dt BA sin( ) B At   cos d BA t AB e duced MF varies with time nusoidally with amplitude BA dt dt B d N dt  E sin( ) NBA t dt – i.e. induced EMF varies with time sinusoidally with amplitude ω NBA – Numerical example: an AC generator : f = 60 Hz = ω /2 π , N = 500 , A =3.0 m 2 , B = 0.10 T 2 BA = 20 00 0 10=57kV Lecture 19 3 E = 2 π f NBA = 120 π × 500 × 3.0 × 0.10 = 57 kV , i.e. good for High Voltage power line distribution 03/15/2010
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Inductance: EMF and Sources of Inductance: EMF and Sources of B A changing magnetic flux induces an EMF: a changing flux d Φ B2 / dt over wire loop 2 creates a current in the loop, which opposes the flux change A magnetic field N 2 might be created by a current (e.g. in a solenoid), nd and a changing current i 1 creates a changing magnetic field B i 1 A 2 i B N 1 – the proportionality factor between di 1 / dt and E 2 is the MUTUAL INDUCTANCE 2 etween the coils: 1 1 di N dt 1 di 1 dB dt 1 2 2 B d N dt 2 E ote the "symbolic" sign!) NDU N E 12 between the co ls M specifies the effect ( E ) in a second conductor due a current change in the first, mediated by B 1 !
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This note was uploaded on 04/14/2010 for the course PHY 132 taught by Professor Rijssenbeek during the Spring '04 term at SUNY Stony Brook.

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PHY132_L19 - Classical Physics II Classical Physics II...

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