JEE Advanced 2023 Paper 2 Solutions

A rectangular conducting loop of length 4‌cm and width 2‌cm is in the xy-plane, as shown in the figure. It is being moved away from a thin and long conducting wire along the direction ‌

√3

2

^

x

+‌

1

2

^

y

with a constant speed v. The wire is carrying a steady current I=10A in the positive x-direction. A current of 10µA flows through the loop when it is at a distance d=4‌cm from the wire. If the resistance of the loop is 0.1Ω, then the value of v is ms−1.
[Given: The permeability of free space µ0=4π×10−7NA−2 ]