The torque (in N - m) acting on a circular current loop of radius 1 mm in the xy-plane, connected at the origin and with current 0.1 A flowing in the sense of increasing φ in a magnetic field $$B = {10^{ - 5}}\left( {2{{\hat a}_x} - 2{{\hat a}_y} + {{\hat a}_z}} \right){\text{Wb/}}{{\text{m}}^2}{\text{ is:}}$$

A. $$ - 2 \times {10^{ - 12}}\left( {2{{\hat a}_x} - 2{{\hat a}_y} + {{\hat a}_z}} \right)$$

B. $$2 \times {10^{ - 12}}\pi \left( {{{\hat a}_y} + {{\hat a}_x}} \right)$$

C. $${10^{ - 12}}\pi $$

D. $$ - {10^{ - 12}}\pi $$

Answer: Option B