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Q. A square loop of side $20\,cm$ and resistance $1\, \Omega$ is moved towards right with a constant speed $v _{0}$. The right arm of the loop is in a uniform magnetic field of $5\, T$. The field is perpendicular to the plane of the loop and is going into it. The loop is connected to a network of resistors each of value $4 \,\Omega$. What should be the value of $v _{0}$ so that a steady current of $2 \,mA$ flows in the loop?Physics Question Image

JEE MainJEE Main 2021Electromagnetic Induction

Solution:

Equivalent circuit
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$i =\frac{ V _{0} B \ell}{4+1} $
$\Rightarrow V _{0}=\frac{5(2 mA )}{5 \times .2}$
$=10^{-2} \,m / s =1 \,cm / s$