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in a uniform the page, in the same direction This is basically Case A on the pre

ID: 1794721 • Letter: I

Question

in a uniform the page, in the same direction This is basically Case A on the previous page. All of the questions that follow refer momert the saenetic feldnstant magnitude of 1.2 mT. The ring rotates counter-clockwise as seen points into the page. The area vector of the ring initially points into 24 2 and a diameter of 18 em is rotating at a constant rate of 12 Hz constant s the magnetic field, but this direction changes as the ring rotates. as seen from the left. with the magnetic field vector. ter to the moment that the area vector of the ring makes an angle of 30 constant? 1s the magnetic fux through the ring? Is the flux increasing, decreasing, or (b) At this moment, what em i induci the enf increasing, decreasing, or constant?

Explanation / Answer

Given,

R = 0.24 Ohm ; f = 12 Hz ; B = 1.2 mT ; d = 18 cm ; theta = 30 deg

(a)We know that the flux is given by:

phi = B A cos(theta)

phi = 1.2 x 10^-3 x 3.14 x 0.09^2 = 3.1 x 10^-5 Wb

Hence, phi = 3.1 x 10^-5 Wb

b)The emf will be given by:

e = -d(phi)/dt = (phi) w

e = 3.1 x 10^-5 x 2 x 3.14 x 12 = 2.3 x 10^-3 V

Hence, V = 2.3 mV