As shown in the figure, a metal rod makes contact and complete the circuit. The circuit is perpendicular to the magnetic field with B = 0.15 T. If the resistance is 3 Ω force needed to move the rod as indicated with a constant speed of 2 m/s is
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a
3.75×10-3 N
b
3.75×10-2 N
c
3.75×102 N
d
3.75×10-4 N
answer is A.
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Detailed Solution
Induced current in the circuit, i=BvlRMagnetic force acting on the wire,Fm=Bil=BBvlRl⇒Fm=B2vl2RExternal force needed to move the rod with constant velocity isFm=B2vl2R=(0.15)2×(2)×(0.5)23=3.75×10-3 N
As shown in the figure, a metal rod makes contact and complete the circuit. The circuit is perpendicular to the magnetic field with B = 0.15 T. If the resistance is 3 Ω force needed to move the rod as indicated with a constant speed of 2 m/s is