A coil of area of cross-section 0.5 m^2 is placed in a magnetic field acting normally to its plane. The field varies as B =0.5 t^2+2 t, where B is in…

A coil of area of cross-section $\displaystyle 0.5 \mathrm{~m}^{2}$ is placed in a magnetic field acting normally to its plane. The field varies as $\displaystyle \mathrm{B}=0.5 \mathrm{t}^{2}+2 \mathrm{t}$, where B is in tesla and $\displaystyle \mathrm{t}$ in seconds. The emf induced in the coil at $\displaystyle \mathrm{t}=1 \mathrm{~s}$ is