A circular loop made of thin copper wire of mass ' $\mathrm{m}$ ' is placed in a uniform magnetic field such…

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 ____
  1. $\frac{4 \pi \mathrm{m}}{\rho \mathrm{d}}\left(\frac{\mathrm{dB}}{\mathrm{dt}}\right)$
  2. $\frac{4 \mathrm{~m}}{\pi \rho \mathrm{d}}\left(\frac{\mathrm{dB}}{\mathrm{dt}}\right)$
  3. $\frac{\pi \mathrm{m}}{4 \rho \mathrm{d}}\left(\frac{\mathrm{dB}}{\mathrm{dt}}\right)$
  4. $\frac{\mathrm{m}}{4 \pi \rho \mathrm{d}}\left(\frac{\mathrm{dB}}{\mathrm{dt}}\right)$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (24 Apr Shift 1)

Practice more Electromagnetic Induction questions on Aicharya