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23_Ch 20 College Physics ProblemCH20 Induced Voltages and Inductance

23_Ch 20 College Physics ProblemCH20 Induced Voltages and Inductance

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Induced Voltages and Inductance 197 20.61 (a) ( ) ( ) ( ) ( ) ( ) 2 av 2 -2 3 4 0 25.0 mT 2.00 10 m 0.157 mV 4 50.0 10 s B B d B A t t t π π ε ∆Φ = = = × = = × As the inward directed flux through the loop decreases, the induced current goes clockwise around the loop in an attempt to create additional inward flux through the enclosed area. With positive charges accumulating at B , point is at a higher potential than B A (b) ( ) ( ) ( ) ( ) 2 -2 3 100 25.0 mT 2.00 10 m 5.89 mV 4 4.00 10 s B B A t t π × ∆Φ = = × av ε = = As the inward directed flux through the enclosed area increases, the induced current goes counterclockwise around the loop in an attempt to create flux directed outward through the enclosed area. With positive charges now accumulating at A , point is at a higher potential than A B 20.62 The induced emf in the ring is ( ) ( ) ( ) ( ) ( ) ( ) av 0 2 7 2 2 1 2 1 4 10 T m A 1000 270 A s 3.00 10 m 4.80
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