The large loop of wire in Figure P29.6a carries into and out of a lamp an electric

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The large loop of wire in Figure P29.6a carries into and out of a lamp an electric current whose direction alternates back and forth with time. A circular ring of wire of radius \(R\) is at one of the three positions labeled \(A, C\), and D.

(a) At which position is the induced current in the ring greatest? At which position is it smallest? 

\((b)\) Instead of being spread out in large loops, the actual wiring in houses and other buildings has the wires entering and leaving the lamp close and parallel to each other, as shown in Figure P29.6b. How is the induced current in the ring affected by this geometry?

Data from Figure P29.6

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