A 20 m long uniform copper wire held horizontally is allowed to fall under the gravity ( $g = 10 ex

Question

A 20 m long uniform copper wire held horizontally is allowed to fall under the gravity ( $g = 10	ext{ }m/s^{2}$ ) through a uniform horizontal magnetic field of 0.5 Gauss perpendicular to the length of the wire. The induced EMF across the wire it travells a vertical distance of 200 m is $\_\_\_\_$ mV .

Accepted Answer

$\varepsilon = vB\mathcal{l}$$$\begin{matrix} v & \ = \sqrt{2gh} = \sqrt{2 	imes 10 	imes 200} = 20\sqrt{10} \ \varepsilon & \ = (20\sqrt{10})\left( 0.5 	imes 10^{- 4} ight)20 \ & \ = 20\sqrt{10} 	imes 10^{- 3} = 20\sqrt{10}mV \end{matrix}$$

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