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JEE Main 2020 Physics question

PhysicsMoving Charges and MagnetismJEE Main 2020

A square loop of side 2a and carrying current I is kept in xz plane with its centre at origin. A long wire carrying the same current I is placed parallel to z-axis and passing through point (0, b, 0), (b >> a). The magnitude of torque on the loop about z-axis will be :

Answer: (A)

Solution

The paper's own working derives τ = 2μ₀I²a²b/[π(a²+b²)] and then notes that

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Question ID VK-012871