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  4. A horizontal straight wire 20 m long extanding from to east to west falling with a speed of 5.0 M s, at right angles to the horizontal component of the earth's magnetic field 0.30 × 10-4 Wb m2. The instantaneous Value of the e.m. f. induced in the wire will be :

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Q. A horizontal straight wire $20\, m$ long extanding from to east to west falling with a speed of 5.0 M\s, at right angles to the horizontal component of the earth's magnetic field $0.30 × 10^{-4} Wb \ m^2.$ The instantaneous Value of the e.m. f. induced in the wire will be :

AIEEEAIEEE 2011Electromagnetic Induction

Solution:

$\varepsilon_{ind} = Bv\ell$
$= 0.3 × 10^{-4} × 5 × 20$
$= 3 × 10^{-3} \,v$
$= 3 \,mv.$

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