The figure shows a stationary conductor whose shape is similar to the letter e .

Question

The figure shows a stationary conductor whose shape is similar to the letter e. The radius of its circular portion is a = 50.0 cm. It is placed in a constant magnetic field of 0.500 T directed out of the page. A straight conducting rod, 50.0 cm long, is pivoted about point O and rotates with a constant angular speed of 2.00 rad/s. (a) Determine the induced emf in the loop POQ. Note the area of the loop is %u03B8a2/2. (b) If all the conducting material has resistance per length of 5.00 %u03A9/m, what is the induced current in the loop POQ at the instant 0.250 s after point P passes point Q?

Explanation / Answer

Area = (thetha/360)*Area of circle;

flux = B*Area;

Induced emf = rate of change of flux= B*(w/2pi)*(pi*a^2)= 0.125 V clockwise

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