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A circular coil containing 250 turns of wire has a radius R = 12.00 cm. The coil

ID: 1771962 • Letter: A

Question

A circular coil containing 250 turns of wire has a radius R = 12.00 cm. The coil is rotating in a magnetic field, B = 0.38 T. The coil carries a current, I= 88.0 mA. Determine the maximum flux through this rotating coil. Determine the maximum Emf for the output leads of this coil if the magnetic field, B, drops to zero in 0.11 seconds.

A coil like that in question 1 is now stationary and wound with a second coil of the same area. The second coil has 37 turns and is connected to a load resistor R = 200 . Determine the voltage in the secondary coil, the current in the secondary coil and the current in the primary coil.

Explanation / Answer

phi = N B A = 250 * 0.38 * pi * 0.122 = 4.29 T.m2

maximum flux = dphi / dt = 4.29 / 0.11

maximum flux = 39.1 V

N1 * phi1 = N2 phi2

E2 = N1 * E1 / N2 = (250 * 39.1) / (37)

voltage in the secondary coil = 264 V

I2 = E2 / R2 = 264 / 200

current in the secondary coil = 1.32 A

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