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.

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Solution

Force on a current carrying wire in a uniform magnetic field

We need,

l = length of wire,

i = current,

B = Magnitude of magnetic field

Since F = ilB

Now, since 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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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.

Force on a current carrying wire in a uniform magnetic field We need, l = length of wire, i = current, B = Magnitude of magnetic field Since F = ilB Now, since the length of the wire is fixed from A to B, so force is independent of the shape of the wire.

Force on a current carrying wire in a uniform magnetic field

We need,

l = length of wire,

i = current,

B = Magnitude of magnetic field

Since F = ilB

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