The magnet is moved towards the coil with speed ' $\mathrm{V}$ '. The induced e.m.f. in the coil is '…

The magnet is moved towards the coil with speed ' $\mathrm{V}$ '. The induced e.m.f. in the coil is ' $\mathrm{e}$ '. The magnet and the coil move away from one another each moving with speed ' $\mathrm{V}$ '. The induced e.m.f. in the coil is
  1. $e$
  2. $2e$
  3. $\frac{\mathrm{e}}{2}$
  4. $4e$

Solution

The equation for the induced emf is: $\mathrm{e}=\mathrm{B} l \mathrm{~V}$ Relative velocity between the coil and the magnet is: $\mathrm{v}_{\mathrm{r}}=2 \mathrm{v}$ $\therefore \quad$ The new induced emf in the coil is: $\mathrm{e}_{\text {new }}=\mathrm{B} l \cdot 2 \mathrm{~V}=2 \mathrm{e}$

Asked in: MHT CET 2023 (13 May Shift 1)

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