Target Exam

CUET

Subject

Physics

Chapter

Electromagnetic Induction

Question:

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 1 T, perpendicular to the plane of the loop. If the resistance of L is 1.7 Ù, the current in the loop at that instant will be close to:

Options:

$16μA$

$170μA$

$150μA$

$115μA$

Correct Answer:

$170μA$

Explanation:

$\text{The given network of resistor is a balanced wheatstone bridge is } R_{eq} = \frac{2\times4}{2+4} = \frac{4}{3}\Omega=1.3 \Omega$

$\text{Net Resistance is } R = 1.7+ 1.3 = 3.0\Omega$

 $\text{ EMF Induced is }\xi = Blv = 1\times 0.05\times 0.01 = 5\times 10^{-4} V$

$I = \frac{\xi}{R} = \frac{5\times 10^{-4}}{3} = 170 \mu A$