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JEE Main 20249 AprilMorning Shift

Exam: JEE Main
Year: 2024
Date: 9 April
Shift: Morning Shift
Subject: Physics
Chapter: Magnetic Effects of Current

JEE Main 2024 · 9 April · Morning Shift · Physics · Magnetic Effects of Current

A square loop of edge length 2 ~m carrying current of 2 ~A is...

A square loop of edge length

2 \mathrm{~m}

carrying current of

2 \mathrm{~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

\vec{B}=B_0(1+4 x) \hat{k}

, where

B_0=5 \mathrm{~T}

. The net magnetic force experienced by the loop is _______

\mathrm{N}

.

Correct answer

0

Step-by-step solution

\begin{aligned} & \mathrm{B}(\mathrm{x}=0)=\mathrm{B}_0, \quad \mathrm{ B}(\mathrm{x}=2)=9 \mathrm{ B}_0 \\ & \text{ Also, } \mathrm{F}=\mathrm{i} \ell \mathrm{B} \\ & \Rightarrow \mathrm{F}_1=\mathrm{i} \ell \mathrm{B}_0 \quad & \quad \mathrm{ F}_2=9 \mathrm{i} \ell \mathrm{B}_0 \\ & \mathrm{ F}=\mathrm{F}_2-\mathrm{F}_1=8 \mathrm{i} \ell \mathrm{B}_0=8 \times 2 \times 2 \times 5 \\ & \mathrm{ F}=160 \mathrm{ N}\end{aligned}

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