A wire of length 10 , cm translates in a dire | vedclass

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Question

(A) The motional $emf$ induced in a conductor of length $\ell$ moving with velocity $v$ in a magnetic field $B$ is given by the formula:$e = B v \ell

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$17 	imes 10^{-3} \, V$

Vedclass · Answer

(A) The motional $emf$ induced in a conductor of length $\ell$ moving with velocity $v$ in a magnetic field $B$ is given by the formula:$e = B v \ell \sin 	heta$where $	heta$ is the angle between the velocity vector and the length of the wire.Given:$B = 1.0 \, T$$v = 20 \, cm/s = 20 	imes 10^{-2} \, m/s = 0.2 \, m/s$$\ell = 10 \, cm = 10 	imes 10^{-2} \, m = 0.1 \, m$$	heta = 60^\circ$Substituting these values into the formula:$e = 1.0 	imes 0.2 	imes 0.1 	imes \sin(60^\circ)$$e = 0.02 	imes \frac{\sqrt{3}}{2}$$e = 0.01 	imes 1.732 = 0.01732 \, V$$e \approx 17 	imes 10^{-3} \, V$

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