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A horizontal straight wire 5 m long exte...

A horizontal straight wire 5 m long extending from east to west is falling with a speed of 10 m/s at right angles to the horizontal component of earth's magnetic field `0.40xx10^(-4)Wb.m^(-2)`.
What is the direction of the emf?

Text Solution

Verified by Experts

The wire is along east-west direction, the horizontal component of earth's magnetic field is directed from south to north and the direction of the wire's velocity is vertically downwards. These three are perpendicular to each other.
From the relation, `vecF_(m)=qvecvxxvecB` since `vecv` is directed downwards and `vecB` is directed towards north, so any positive charge in the wire experiences a force from west to east and moves in that direction. The direction of the induced emf is in the direction in which the positive charge moves, i.e., from west to east.
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