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Question

A uniform magnetic field is restricted within a region of rafius r. The magnetic field changes with time at a rate ${{d\overrightarrow B } \over {dt}}$. Loop 1 of radius R > r encloses the region r and loop 2 of radius R is outside the region of magnetic field as shown in the figure. Then the e.m.f. generated is

zero in loop 1 and zero in loop 2
$ - {{d\overrightarrow B } \over {dt}}\pi {r^2}$ in loop 1 and $ - {{d\overrightarrow B } \over {dt}}\pi {r^2}$ in loop 2
$ - {{d\overrightarrow B } \over {dt}}\pi {R^2}$ in loop 1 and zero in loop 2
$ - {{d\overrightarrow B } \over {dt}}\pi {r^2}$ in loop 1 and zero in loop 2

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