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Question

Two parallel wires PQ and RS are connected by a capacitor and a metal rod CD and placed in a magnetic field directed into the page as shown in figure. If rod CD is moved with a velocity υ as shown in the figure,

A
Plate 1 of the capacitor acquires a positive charge and plate 2 an equal negative charge
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B
plate 1 of the capacitor acquires a negative charge and plate 2 an equal positive charge
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C
plates 1 and 2 do not acquire any charge
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D
the energy stored in the capacitor increases linearly with time
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Solution

The correct option is A Plate 1 of the capacitor acquires a positive charge and plate 2 an equal negative charge
As the rod CD moves to the right, from Fleming’s left hand rule, the free electrons in CD experience a force from C to D. Hence, the electrons move from C to D and, as a result, end C acquires a positive charge (due to loss of electrons) and end D acquires an equal negative charge (due to gain of electrons). Therefore, plate 1 acquires a positive charge and plate 2 acquires an equal negative charge.

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