A circular coil enclosing an area of 105 cm2 is made of 202 turns of copper wire

Question

A circular coil enclosing an area of 105 cm2 is made of 202 turns of copper wire. The wire making up the coil has resistance of 6.0 , and the ends of the wire are connected to form a closed circuit. Initially, a 1.9 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 1.9 T and points downward through the coil. If the time required for the field to reverse directions is 0.11 s, what average current flows through the coil during that time?

Explanation / Answer

farady s law ,

e = N d / dt ;

e = N A dB / dt ;

e = 202 * 105 * ( 1e-2 ) ^2 * [ dB / dt ] ;

e = 202 * 105 * ( 1e-2 ) ^2 * [ ( 1.9 - ( -1.9 ) )/ 0.11 ] ;

e = 73.270 V ;

i = V / R ;

i = 73.270 / 6 = 12.21 A <---------------ans

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