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  4. A 10 m long horizontal wire extends from North East to South West. It is falling with a speed of 5.0 ms-1, at right angles to the horizontal component of the earth's magnetic field, of 0.3 × 10-4 Wb/m2. The value of the induced emf in wire is :

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Q. A $10\, m$ long horizontal wire extends from North East to South West. It is falling with a speed of $5.0\,ms^{-1}$, at right angles to the horizontal component of the earth's magnetic field, of $0.3 \times 10^{-4}\,Wb/m^2$. The value of the induced emf in wire is :

JEE MainJEE Main 2019Electromagnetic Induction

Solution:

Induced emf $= Bv \ell \sin 45 $
$= 0.3 \times 10^{-4} \times 5 \times 10 \times \frac{1}{\sqrt{2}} $
= $1.1 \times 10^{-3} V$