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Standard XII

Physics

Two Parallel Currents

Figure shows ...

Question

Figure shows a wire sliding on two parallel conducting rails placed at a separation $l$ . A magnetic field $B$ exists in a direction perpendicular to the plane of the rails. What force is necessary to keep the wire moving at a constant velocity $v$ ?

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Solution

A wire of length l, Sliding on two parallel rails, with velocity $v$ .
$F_{m a g n e t} = I l B$
Refer above image,
the force generated by the magnetic field on wire,
the direction of this force is opposite to that of the motion of the road.
Velocity V is constant.
So, the acceleration of the wire should by zero.
This force produce an acceleration on the wire.
Hence acceleration is zero.
Therefore net force acting on the wire must be zero.
$F o r c e = 0$

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Figure shows a wire sliding on two parallel conducting rails placed at a separation l. A magnetic field B exists in a direction perpendicular to the plane of the rails. What force is necessary to keep the wire moving at a constant velocity v ?

Figure shows a wire sliding on two parallel conducting rails placed at a separation $l$ . A magnetic field $B$ exists in a direction perpendicular to the plane of the rails. What force is necessary to keep the wire moving at a constant velocity $v$ ?