A rectangular conducting loop of length 4 cm and width 2 cm 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 \(\frac{\sqrt 3}2 \hat x + \frac 12 \hat y\) with a constant speed v. The wire is carrying a steady current I = 10 A in the positive x-direction. A current of 10 µA flows through the loop when it is at a distance d = 4 cm from the wire. If the resistance of the loop is 0.1 Ω, then the value of v is _______ ms−1.
[Given: The permeability of free space µ0 = 4π × 10−7 NA−2]
