A square conducting loop of side 2 cm is placed in a time-varying uniform magnetic field B = 0.4 sin(300t) tesla. The normal to the plane of the loop makes an angle of 60° with the magnetic field. What is the maximum induced emf in the loop?
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Question

A square conducting loop of side 2 cm is placed in a time-varying uniform magnetic field B = 0.4 sin(300t) tesla. The normal to the plane of the loop makes an angle of 60° with the magnetic field. What is the maximum induced emf in the loop?

Options

G1 Physics · Accepted Answer

Loop area: A = (0.02)² = 4 × 10⁻⁴ m². Magnetic flux is Φ = BA cos60°. With B = 0.4 sin(300t), Φ = 0.4A cos60° sin(300t). The induced emf magnitude is ε = |dΦ ÷ dt|. Therefore the maximum emf is ε(max) = 0.4A cos60°×300. Substitute: ε(max) = 0.4×4 × 10⁻⁴×0.5×300 = 0.024 V = 24 mV. Correct option: D.