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A circular coil enclosing an area of 200 cm2 is made of 190 turns of copper wire

ID: 1435264 • Letter: A

Question

A circular coil enclosing an area of 200 cm2 is made of 190 turns of copper wire. The wire making up the coil has resistance of 7.0 , and the ends of the wire are connected to form a closed circuit. Initially, a 1.6-T uniform magnetic field points perpendicularly upward through the plane of the coil. The direction of the field then reverses so that the final magnetic field has a magnitude of 1.6 T and points downward through the coil. If the time required for the field to reverse directions is 0.30 s, what is the average current in the coil during that time? A

Explanation / Answer

electromotive force=-(change in flux/time)

here change in flux=2 nBA=2X190X1.6X200X10-4

time=0.30sec

now electromotive force=2X190X1.6X200X10-4/0.3=12.16 Volt

now the average current in the coil =12.16/resistance=12.16/7=1.7371A

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