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Questions  

Figure shows a square loop of side 1m and resistance 1Ω the magnetic field on left side of line PQ has a magnitude B = 1T. The work done in pulling the loop out of the field uniformly in 1s  is

a
1J
b
10J
c
0.4J
d
100J

detailed solution

Correct option is A

Given side of square loop  l=1 mTime t=1 s Magnetic field  B=1 TElectro motive force induced in loop due to its velocityε=Blv Current  i=εR=BlvR∴i=1×1×11=1A Work done in pulling the loop isW=MB1−B2⇒W=niAB1−B2⇒W=1×1×12[1]∴W=1J

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Similar Questions

The diagram shows a circuit having a coil of resistance R=2.5Ω and inductance L connected to a conducting rod PQ which can slide on a perfectly conducting circular ring of radius 10 cm with its centre at 'P'. Assume that friction and gravity are absent and a constant uniform magnetic field of 5 T exists as shown in figure.

At t = 0, the circuit is switched on and simultaneously a time varying external torque is applied on the rod so that it rotates about P with a constant angular velocity 40 rad/s. Find magnitude of this torque (in milli Nm) when current reaches half of its maximum value. Neglect the self-inductance of the loop formed by the circuit.


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