A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as $\mathrm{B}=0.4 \sin (300 \mathrm{t})$ Tesla. The normal to the plane of loop makes an angle of $60^{\circ}$ with the field. The maximum induced emf produced in the loop is ______ mV.

JEE Main · 2026 · 06 Apr 2026 · Shift 2 · Electromagnetic Induction

A square loop of side 2 cm is placed in a time varying magnetic field with magnitude as

B = 0.4 sin (300 t)

Tesla. The normal to the plane of loop makes an angle of

6 0^{\circ}

with the field. The maximum induced emf produced in the loop is ______ mV.

(A)12
(B)18
(C)21
(D)24✓ Correct

Answer: (D)

Solution

The flux through the loop is

ϕ = B A cos θ = 0.4 sin (300 t) \times (0.02)^{2} \times cos 6 0^{\circ}

. The induced emf is

ε = - \frac{d ϕ}{d t} = - 0.4 \times 4 \times 1 0^{- 4} \times \frac{1}{2} \times 300 cos (300 t)

, whose magnitude is greatest when

cos (300 t) = 1

ε_{ma x} = 0.4 \times 4 \times 1 0^{- 4} \times 300 \times 0.5 = 24 \times 1 0^{- 3} V = 24 mV

JEE Main · 2026 · 06 Apr 2026 · Shift 2 · Single correct option

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