Physics - Magnetism Question with Solution | TestHub

Consider two current carrying loops in x-y plane, carrying current ${\mathrm{I}}_1$ and ${\mathrm{I}}_2$ respectively as shown in the figure. Now consider two arbitrary elementary current elements AB and CD of lengths of $\mathrm{d}{\ell }_1$ and $\mathrm{d}{\ell }_2$ on the loop-1 and loop-2 respectively. Let $\mathrm{d}{\overrightarrow{\mathrm{F}}}_{12}$ be the force which the current carrying element ${\mathrm{I}}_2\mathrm{d}{\vec{\ell }}_2$ exerts on the current carrying element ${\mathrm{I}}_1\mathrm{d}{\vec{\ell }}_1$ and ${\overrightarrow{\mathrm{F}}}_{12}$ represent the net force on 1st loop by the 2nd loop, developed due to interaction between current carrying loops. Similarly ${\mathrm{dF}}_{21}$ be the force which the current carrying element ${\mathrm{I}}_1\mathrm{d}{\vec{\ell }}_1$ exerts on the current carrying element ${\mathrm{I}}_2\mathrm{d}{\vec{\ell }}_2$ and ${\overrightarrow{\mathrm{F}}}_{21}$ represent the net force on 2nd loop by 1st loop, developed due to interaction between current carrying loops. Choose the correct option(s)