Electromagnetic Induction

JEE Main level, numerical answer, medium

49 of 153

Question 49 of 153

A horizontal straight wire 5m5m long extending from east to west falling freely at right angle to horizontal component of earth's magnetic field 0.60×10−4Wbm−20.60\times {10}^{-4}Wb{m}^{-2}. The instantaneous value of emf induced in the wire when its velocity is 10ms−110m{s}^{-1} is _______×10−3V\times {10}^{-3}V.

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Answer: 3

Horizontal component of earth's magnetic field,
BH=0.60×10−4Wbm−2{B}_{H}=0.60\times {10}^{-4}Wb{m}^{-2}.
Induced emfe=BHvℓ\text{emf}e={B}_{H}v\ell
=0.60×10−4×10×5=0.60\times {10}^{-4}\times 10\times 5
=3×10−3V=3\times {10}^{-3}V

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