Question 280: Magnetism and Matter

Question

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 $$B_o=5 T$$. The net magnetic force experienced by the loop is _________ $$\mathrm{N}$$.

Accepted Answer

Due to constant component of magnetic field $$F = 0$$
Due to variable component
$$\begin{aligned}
& F_1=0 \
& 	ext { and, } F_2+F_3=0 \
& \begin{aligned}
	ext { and, } F_4 & =\left(\mathrm{B}_0 4_xight) i \mathrm{~L} \
& =5 	imes 4 	imes 2 	imes 2 	imes 2 \
& =160 \mathrm{~N}
\end{aligned}
\end{aligned}$$

Magnetism and Matter

Integer / Numeric Answer Type