Question

A wire carrying a $10\text{A}$ current is bent to pass through various sides of a cube of side $10\text{cm}$ as shown in the figure. A magnetic field $\overrightarrow{B}=(2\hat{i}-3\hat{j}+\hat{k})\text{T}$ is present in the region. Find the net force on the loop shown.

• A. ${\overrightarrow{F}}_{net}=0$
• B. ${\overrightarrow{F}}_{net}=(0.1\hat{i}-0.2\hat{k})\text{N}$
• C. ${\overrightarrow{F}}_{net}=(0.3\hat{i}+0.4\hat{k})\text{N}$
• D. ${\overrightarrow{F}}_{net}=\left(0.36\hat{k}\right)\text{N}$

Answer 1

The correct option is A ${\overrightarrow{F}}_{net}=0$

In a uniform magnetic field, the net force on a current carrying arbitrary shape is zero. $$F_{net}=0$$Hence, option (a) is the correct answer.