A loop of wire of radius 10 cm has a resistance of 2 ohms. The plane of the coil

Question

A loop of wire of radius 10 cm has a resistance of 2 ohms. The plane of the coil is perpendicular to a uniform magnetic field B that is increasing at the rate of 0.1 T.s-1

Find the magnitude of the induced current in the loop.

Please show:

Correct equation for the flux through the coil

Correct relation between induced emf and flux in the coil

Calculate correct value of induced emf with unit

Calculate correct value of induced current with unit

Please show:

Correct equation for the flux through the coil

Correct relation between induced emf and flux in the coil

Calculate correct value of induced emf with unit

Calculate correct value of induced current with unit

Explanation / Answer

a) flux = B*A

b) induced emf = -d(flux)/dt

c) emf = -AdB/dt = -3.14*0.1^2*0.1 = -0.00314 V

d) current i = emf/R = 0.00314/2 = 1.57 mA

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