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A horizontal straight wire 10 m long ext...

A horizontal straight wire 10 m long extending from east to west is falling with a speed of `5.0 ms^(-1)` at right angle to the horizontal component of the Earth's magnetic field `0.3 xx 10 ^(-4)Wb m^(2)`.
(a) What is the instantaneous value of the emf induced in the wire?
(b) What is the direction of the emf?
(c) Which end of the wire is at the higher electrical potential?

Text Solution

Verified by Experts

Given, Length of wire, l = 10 m,
Velocity of wire, `v = 5.0 ms^(-1)`
Horizontal component of Earth.s magnetic field,
`B_(H)= 0.30 xx 10 Wb m^(2)`
(a) Instantaneous value of emf induced in the wire is
`epsilon =B_(H)lv = 0.30 xx 10^(-4) xx 10 xx 5.0`
`implies epsilon = 1.5 xx 10^(-3)V`
(b) Applying Fleming.s right-hand rule, the direction of induced emf is from west to east.
(c) The eastern end of the wire is at higher potential.
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