A circular coil of radius 10 cm is placed in a magnetic field \(\vec{B}=(1.0\overset{^}{i}+0.5\overset{^}{j})\mathrm{mT}…

A circular coil of radius 10 cm is placed in a magnetic field \(\vec{B}=(1.0\overset{^}{i}+0.5\overset{^}{j})\mathrm{mT}\) such that the outward unit vector normal to the surface of the coil is \((0\cdot 6\overset{^}{i}+0\cdot 8\overset{^}{j})\). The magnetic flux linked with the coil is :