Three identical rectangular wire loops with finite resistance R are being moved

Question

Three identical rectangular wire loops with finite resistance R are being moved in the plane of the page at constant speed v from a region of zero magnetic field into the shaded region where there is non-zero magnetic field B. The B field in the shaded region is spatially uniform. It is normal to and pointing out of the plane of the page. When each loop is exactly half way into the shaded region: Is the direction (clockwise or counterclockwise) of the current being induced in loop 2 the same as the direction of the current being induced in loop 1? (A) yes (B) no Compare I_1, the magnitude of the current being induced in loop 1 with I_3, the magnitude of the current being induced in loop 3. (A) I_1 > I_3 (B) I_1 = I_3 (C) I_1

Explanation / Answer

15) since all the loops are entering into the region of magnetic field so flux passing through the loops if continuously increasing so the effort of induced current will be to oppose the increase in flux so it will in induced in clockwise direction in all three loops so option A is correct .

16) when all are exactly half into the region of magnetic field then flux passing through all will also be equal and rate of change of flux will also be same and from Faraday's law we know that rate of change of flux is called induced emf so equal emf will be induced and since resistance of all the loops are same because they are identical so induced current will also be equal in all so option B is correct.

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