A uniform magnetic field is restricted within a region of radius, r . The magnetic field changes with time…

A uniform magnetic field is restricted within a region of radius, $r.$ The magnetic field changes with time at a rate, $\frac{d\overrightarrow{B}}{dt}$. Loop one of radius $R>r$ encloses the region, $r$ and loop two of radius, $R$ is outside the region of magnetic field as shown in the figure below. Then the emf generated is

1. $0$ in loop one and zero in loop two.
2. $-\frac{d\overrightarrow{B}}{dt}\mathrm{\pi }{r}^2$ in loop one and $-\frac{d\overrightarrow{B}}{dt}\mathrm{\pi }{r}^2$ in loop two.
3. $-\frac{d\overrightarrow{B}}{dt}\mathrm{\pi }{r}^2$ in loop one and infinite in loop two.
4. $-\frac{d\overrightarrow{B}}{dt}\mathrm{\pi }{r}^2$ in loop one and zero in loop two.

Solution

Asked in: NEET 2016 (Phase 2)

Practice more Electromagnetic Induction questions on Aicharya