1. Tardigrade
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  4. The figure shows a square loop L of side 5 cm which is connected to a network of resistances. The whole setup is moving towards right with a constant speed of 1 cms-1. At some instant, a part of L is in a uniform magnetic field of 1T, perpendicular to the plane of the loop. If the resistance of L is 1.7 Ω , the current in the loop at that instant will be close to :

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Q. The figure shows a square loop $L$ of side $5\, cm$ which is connected to a network of resistances.
The whole setup is moving towards right with a constant speed of $1\, cms^{-1}$. At some instant, a part of $L$ is in a uniform magnetic field of $1T$, perpendicular to the plane of the loop. If the resistance of $L$ is $1.7\, \Omega$ , the current in the loop at that instant will be close to :Physics Question Image

JEE MainJEE Main 2019Electromagnetic Induction

Solution:

Since it is a balanced wheatstone bridge, its equivalent resistance $ = \frac{4}{3} \Omega$
$ \varepsilon = B \ell v = 5 \times 10^{-4} V$
So total resistance
$R = \frac{4}{3} + 1.7 \approx 3\Omega $
$ \therefore \; i \frac{\varepsilon}{R} \approx 166 \mu A \; \approx \; 170 \mu A $