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A rectangular loop with a sliding connector of length 10 cm is situated in uniform magnetic field perpendicular to plane of loop. The magnetic induction is 0.1 tesla and resistance of connector (R) is 1 ohm. The sides AB and CD have resistances 2 ohm and 3 ohm respectively. Find the current in the connector during its motion with constant velocity 1 m/s.

A
1110 A
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B
1220 A
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C
155 A
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D
1440 A
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Solution

The correct option is D 1220 A


vBl=1×0.1×0.1
=102 volt
x2+x3+x1021=0
3x+2x+6x6×102=0
11x=6×102
x=6×10211
i=6×102111021
i=5×10211=1220 amp

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