QJEEM22Ph408c: JEE Main 2022 Physics - Class 12 JEEM22Ph408c Solution: A conducting circular loop is placed in X − Y plane in presence …

A conducting circular loop is placed in $$X-Y$$ plane in presence of magnetic field $$\overrightarrow{\mathrm{B}}=(3{\mathrm{t}}^3\hat{j}+3{\mathrm{t}}^2\hat{k})$$ in SI unit. If the radius of the loop is $$1\mathrm{m}$$, the induced emf in the loop, at time, $$\mathrm{t}=2\mathrm{s}$$ is $$\mathrm{n}\pi \mathrm{V}$$. The value of $$\mathrm{n}$$ is ___________.