Question 163: Electromagnetic Induction

Question

A horizontal straight wire $$5 \mathrm{~m}$$ long extending from east to west falling freely at right angle to horizontal component of earths magnetic field $$0.60 	imes 10^{-4} \mathrm{~Wbm}^{-2}$$. The instantaneous value of emf induced in the wire when its velocity is $$10 \mathrm{~ms}^{-1}$$ is _________ $$	imes 10^{-3} \mathrm{~V}$$.

Accepted Answer

$$\begin{aligned}
& \mathrm{B}_{\mathrm{H}}=0.60 	imes 10^{-4} \mathrm{~Wb} / \mathrm{m}^2 \
& 	ext { Induced emf e}=\mathrm{B}_{\mathrm{H}} \mathrm{v} \ell \
&=0.60 	imes 10^{-4} 	imes 10 	imes 5 \
&=3 	imes 10^{-3} \mathrm{~V}
\end{aligned}$$

Electromagnetic Induction

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