A 30-turn circular coil of wire has diameter 0.97 m. It is placed with its axis

Question

A 30-turn circular coil of wire has diameter 0.97 m. It is placed with its axis along the direction of the Earth's magnetic field of 56.0 mu T and then in 0.200 s is flipped 180 degree. An average emf of what magnitude is generated in the coil? mV The flexible loop in the figure below has a radius of 11.0 cm and is in a magnetic field of magnitude 0.160 T. The loop is grasped at points A and B and stretched until its area is nearly zero. If it takes 0.190 s to close the loop, what is the magnitude of the average induced emf in it during this time interval?

Explanation / Answer

1)

The flux before the flip is,

Bi = AB = Nr^2B

And the flux after the flip is

Bf = AB = Nr^2B

= dB/dt = 2Nr^2B/dt

= (2 x 30 x 3.14 x 0.485^2 x 56 x 10^-6) / 200 =

= 12.4 mV

2)

EMF = /t = BA/t = (0.16)(0.11)^2 / (0.19) = 32 mV

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