First slide
Force on a current carrying wire placed in a magnetic field
Question

An arrangement of three parallel straight wires placed perpendicular to plane of paper carrying same current ‘I’ along the same direction as shown in figure. Magnitude of force per unit length on the middle wire ‘B’ is given by

 

 

Difficult
Solution

Force between wires A and B = force between wires B and C

 

 

FBC=FAB=μoI2l2πd  As FABFBC, net force on wire B Fnet =2FBC=2μoI2l2πdFnet =μoI2l2πd  or Fnet l=μoI22πd

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