11_Chapter 20 HomeworkCH20 Induced Voltages and Inductance

11_Chapter 20 HomeworkCH20 Induced Voltages and Inductance...

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Unformatted text preview: Induced Voltages and Inductance 185 20.25 (a) After the right end of the coil has entered the field, but the left end has not, the flux through the area enclosed by the coil is directed into the page and is increasing in magnitude. This increasing flux induces an emf of magnitude ( ) B NB A NBwv t t ∆ ∆Φ = = = ∆ ∆ E in the loop. Note that in the above equation, A ∆ is the area enclosed by the coil that enters the field in time . This emf produces a counterclockwise current in the loop to oppose the increasing inward flux. The magnitude of this current is t ∆ I R NBwv R = = E ( ) . The right end of the loop is now a conductor, of length Nw , carrying a current toward the top of the page through a field directed into the page. The field exerts a magnetic force of magnitude ( ) 2 2 2 rected toward the left NB N B w v Nw R R = di wv F BI Nw B = = on this conductor, and hence, on the loop....
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