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Space is divided by the line AD into two...

Space is divided by the line AD into two regions. Region I is field free and the region II has a uniform magnetic field B directed into the plane of paper. ACD is semicircular conducting loop of radius r with centre at 0, the plane of the loop being in the plane of the paper. The loop is now made to rotate with a constant angular velocity o about an axis passing through O and perpendicular to the plane of the paper. The effective resistance of the loop is R.
Q (i)Obtain an expression for the magnitude of the induced current in the loop

Text Solution

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The graph is shown in figure. When the loop enters the magnetic field, the magnetic flux liked increases and e.m.f.e= `(1/2)Br^(2)omega` in one direction. When the loop comes out of the field, the flux decreases and e.m.f. is induced in opposite sense
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