The total emf induced in a closely would coil of $\mathrm{N}$ turns in which the magnetic flux linked with…

The total emf induced in a closely would coil of $\mathrm{N}$ turns in which the magnetic flux linked with the coil changing at the rate $\frac{\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{dt}}$ is
  1. $-\mathrm{N} \frac{\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{dt}}$
  2. $\mathrm{N} \frac{\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{dt}}$
  3. $-\mathrm{N} \frac{\mathrm{d}^2 \phi_{\mathrm{B}}}{\mathrm{dt}^2}$
  4. $-\frac{\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{dt}}$

Solution

For a coil of $\mathrm{N}$ turns, the emf across the whole coil is $\varepsilon=-\mathrm{N} \frac{\mathrm{d} \phi_{\mathrm{B}}}{\mathrm{dt}}$

Asked in: AP EAMCET 2023 (17 May Shift 2)

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