JEE Main · 2024 · 09 Apr 2024 · Shift 1 · Magnetic Effects of Current

A square loop of edge length 2 m carrying current of 2 A is placed with its edges parallel to the

x - y

axis. A magnetic field is passing through the

x - y

plane and expressed as

B = B_{0} (1 + 4 x) \hat{k}

, where

B_{0} = 5 T

. Then net magnetic force experienced by the loop is ____ N.

Answer: 160

Solution

Only the two edges at

x = 0

and

x = 2

(parallel to

y

) give a net force.

B (0) = B_{0}

B (2) = 9 B_{0}

;

F = B i ℓ

, net

= i ℓ (B (2) - B (0)) = 2 \times 2 \times (9 B_{0} - B_{0}) = 2 \times 2 \times 8 \times 5 = 160

JEE Main · 2024 · 09 Apr 2024 · Shift 1 · Integer answer

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