Q. 16

Prove that the force acting on a current carrying wire, joining two fixed points a and b in a uniform magnetic field, is independent of the shape of the wire.

Answer :



Magnetic force acting on a current carrying wire in an uniform magnetic field is given by



where,


B= magnetic field


I = current


l = length of the wire


and θ = the angle between B and l


Since


is vector


Also, the length of the wire is fixed from A to B, so force is independent of the shape of the wire.


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