JEE Main · 2022 · 28 Jul 2022 · Shift 2 · Magnetic Effects of Current

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A triangular shaped wire carrying 10A current is placed in a uniform magnetic field of 0.5 T , as shown in figure. The magnetic force on segment CD is (Given

BC = CD = BD = 5 cm

(A)0.126 N
(B)0.312 N
(C)0.216 N✓ Correct
(D)0.245 N

Answer: (C)

Solution

For a current-carrying segment in a magnetic field, the force is

F = B I ℓ_{e f f}

, where

ℓ_{e f f}

is the effective length perpendicular to the field. Since the triangle is equilateral with side 5 cm, the perpendicular component of CD is

5 sin 6 0^{\circ} = 5 \times 3 /2

cm. Thus

F = 0.5 \times 10 \times (5 \times 3 /2 \times 1 0^{- 2}) = 0.5 \times 10 \times 0.0433 \approx 0.216

JEE Main · 2022 · 28 Jul 2022 · Shift 2 · Single correct option

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