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PHY132_L19

# PHY132_L19 - Classical Physics II Classical Physics II...

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Classical Physics II PHY132 Lecture 19 M t l d S lf I d t Mutual and Self Inductance Lecture 19 1 03/15/2010

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Changing the Angle between Changing the Angle between A, , B C id i d if fi ld h i h Consider a static and uniform B -field to the right. A wire loop ( N windings, area A ) rotates around an axis perpendicular to B (perpendicular to the paper) with (perpendicular to the paper), with constant angular velocity ω : Thus only the relative orientation of B and A varies with time A x θ B,A = ω t B varies with time… The change in flux: ω B d d dt dt B A cos( ) d t BA dt sin( ) BA t   cos d BA dt AB i e induced EMF varies with time sinusoidally with amplitude ω NBA B d N dt   E sin( ) NBA t i.e. induced EMF varies with time sinusoidally with amplitude – Numerical example: an AC generator : f = 60 Hz = ω /2 π , N = 500 , A =3.0 m 2 , B = 0.10 T E = 2 π f NBA = 120 π × 500 × 3 0 × 0 10 = 57 kV Lecture 19 3 f NBA = 3.0 0.10 = 57 kV , i.e. good for High Voltage power line distribution 03/15/2010