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A circular loop made of thin copper wire of mass ' $\mathrm{m}$ ' is placed in a uniform magnetic field such that the plane of the loop is perpendicular to the magnetic field. If ' $d$ ' and ' $\rho$ ' are the density and resistivity of copper respectively and the magnetic field varies at a constant rate of $\frac{\mathrm{dB}}{\mathrm{dt}}$, then the induced current in the loop is ____

PhysicsElectromagnetic InductionAP EAMCETAP EAMCET 2017 (24 Apr Shift 1)

Options:

A $\frac{4 \pi \mathrm{m}}{\rho \mathrm{d}}\left(\frac{\mathrm{dB}}{\mathrm{dt}}\right)$
B $\frac{4 \mathrm{~m}}{\pi \rho \mathrm{d}}\left(\frac{\mathrm{dB}}{\mathrm{dt}}\right)$
C $\frac{\pi \mathrm{m}}{4 \rho \mathrm{d}}\left(\frac{\mathrm{dB}}{\mathrm{dt}}\right)$
D $\frac{\mathrm{m}}{4 \pi \rho \mathrm{d}}\left(\frac{\mathrm{dB}}{\mathrm{dt}}\right)$

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