Two wires with currents 2 A and 1 A are enclosed in a circular loop. Another wire with current 3 A i

Question

Two wires with currents 2 A and 1 A are enclosed in a circular loop. Another wire with current 3 A is situated outside the loop as shown. The $\oint \overline{\mathrm{B}}, \overline{\mathrm{dl}}$ around the loop is\

Professor PC Thomas Classes · Answer

According to Ampere's circuital law $\oint \overrightarrow{\mathrm{B}} \cdot \overrightarrow{\mathrm{d} \ell}=\mu_{0} \mathrm{I}_{	ext {enclosed }}$\ $=\mu_{0}(2 \mathrm{~A}-\mathrm{IA})=\mu_{0}$\ Since currents 2A and 1A are in the opposite direction.\