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Q. A conductor of length $5\,cm $ is moved parallel to itself with a speed of $2\,m/s, $ perpendicular to a uniform magnetic field of $10^{-3} Wb/m^{2}$ . The induced e.m.f. generated is

J & K CETJ & K CET 2013Electromagnetic Induction

Solution:

$e=-B v l$
Given, $l=5\, cm =5 \times 10^{-2} m,\, v=2\, m /s$
$B=10^{-3} Wb / m ^{2}$
$e=10^{-3} \times 2 \times 5 \times 10^{-2}$
$e=10 \times 10^{-5} V$
$e=1 \times 10^{-4} V$