The magnetic field existing in a region is given by vec B =0.2(1+2 x) hat k T . A square loop of edge 50 cm carrying 0.5 A current is placed in x - y plane with its edges parallel to the x-y axes, as shown in figure. The magnitude of the net magnetic force experienced by the loop is mN .

Physics · Moving Charges and Magnetic Field

JEE Main 2024 — 4 April, Shift 1 — Question 51

The magnetic field existing in a region is given by $\vec{B}=0.2(1+2 x) \hat{k} T$ . A square loop of edge 50 cm carrying 0.5 A current is placed in $\mathrm{x}-\mathrm{y}$ plane with its edges parallel to the $x-y$ axes, as shown in figure. The magnitude of the net magnetic force experienced by the loop is $\qquad$ mN .

Answer: 50

Numerical answer — enter this value.

Step-by-step solution

Force on segment parallel to x -axis will cancel each other. Hence $F_{\text {net }}$ will be due to portion parallel to y -axis.

$\mathrm{F}=0.5 \times 0.5 \times 6 \times 0.2-0.5 \times 0.5 \times 0.2 \times 5$

$=0.5 \times 0.5 \times 0.2$

$=0.25 \times 0.2$

$=50 \times 10^{-3} \mathrm{~N}$

$=50 \mathrm{mN}$

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Exam: JEE Main 2024
Paper: 4 April, Shift 1
Subject: Physics
Chapter: Moving Charges and Magnetic Field
Topic: Force and Torque on Wires and Loops, Magnetic Dipole Moment

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Step-by-step solution

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