JEE Advanced 2023 Paper 2 Physics Q9

Physics · Electromagnetic Induction

Problem

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 (√3/2)x^\hat{x}+(1/2)y^\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 _______ m s⁻¹. [Given: The permeability of free space μ₀=4π×10⁻⁷ N A⁻²]

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