Easy INTEGER +4 / -1 PYQ · JEE Mains 2024

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 $0.60 \times 10^{-4} \mathrm{~Wbm}^{-2}$. The instantaneous value of emf induced in the wire when its velocity is $10 \mathrm{~ms}^{-1}$ is _________ $\times 10^{-3} \mathrm{~V}$.

Answer (integer) 3

Solution

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

About this question

Subject: Physics · Chapter: Electromagnetic Induction · Topic: Motional EMF

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