A single turn coil of radius 4.50 cm is held in a vertical plane and a magnet is

Question

A single turn coil of radius 4.50 cm is held in a vertical plane and a magnet is rapidly moved relative to the coil as shown in the diagram below.

The field inside the coil changes from 0.500 T to 0.285 T in 0.120 s. If the resistance of the coil is 3.90 Ohms, what are the magnitude and direction of the induced current in the coil as viewed from the side of the magnet?

Please explain steps to solve

magnitude     mA A single turn coil of radius 4.50 cm is held in a vertical plane and a magnet is rapidly moved relative to the coil as shown in the diagram below. The field inside the coil changes from 0.500 T to 0.285 T in 0.120 s. If the resistance of the coil is3.90 Ohms , what are the magnitude and direction of the induced current in the coil as viewed from the side of the magnet?

Explanation / Answer

induced emf e = NA dB/dt = N*pi*r^2 dB/dt

e = 1 * 3.14*0.045 *0.045*0.215/0.120

e = 0.0114

incudec currrrent i = e/R = 0.0114/3.9 = 2.92 mA

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