A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of a metal wire. The wire has a diameter of 4 mm and a total length of 30 cm. The magnetic field changes with time at a steady rate dB/dt = 0.032 Ts-1. The induced current in the loop is close to (Resistivity of the metal wire is 1.23 × 10⁻⁸ Ωm)
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Question

A uniform magnetic field B exists in a direction perpendicular to the plane of a square loop made of a metal wire. The wire has a diameter of 4 mm and a total length of 30 cm. The magnetic field changes with time at a steady rate dB/dt = 0.032 Ts-1. The induced current in the loop is close to (Resistivity of the metal wire is 1.23 × 10⁻⁸ Ωm)

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G1 Physics · Accepted Answer

Magnetic flux is Φ=∫B⃗·dA⃗ and induced emf is ε=−dΦ/dt. Apply Lenz’s law for direction and I=ε/R when the circuit is resistive. This gives 0.61 A.