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Question

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 tesla  If the resistance is 3Ω , force needed to move the rod as indicated with a constant speed of 2m/sec is



 


Correct Answer
A
3.75×103N
Your Answer
B
3.75×102N
Your Answer
C
3.75×102N
Your Answer
D
3.75×104N

Solution

The correct option is A 3.75×103N
Induced current in the circuit i=BvlR
Magnetic force acting on the wire Fm=Bil=B(BvlR)l
 Fm=B2vl2R External force needed to move the rod with constant velocity       
(Fm)=B2vl2R=(0.15)2×(2)×(0.5)23=3.75×103N

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