MHT CET · Physics · Electromagnetic Induction
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
- A \(e\)
- B \(2e\)
- C \(\frac{\mathrm{e}}{2}\)
- D \(4e\)
Answer & Solution
Correct Answer
(B) \(2e\)
Step-by-step Solution
Detailed explanation
The equation for the induced emf is: \(\mathrm{e}=\mathrm{B} l \mathrm{~V}\)
Relative velocity between the coil and the magnet is:
\(
\mathrm{v}_{\mathrm{r}}=2 \mathrm{v}
\)
\(\therefore\) The new induced emf in the coil is:
\(
\mathrm{e}_{\text {new }}=\mathrm{B} l \cdot 2 \mathrm{~V}=2 \mathrm{e}
\)
Relative velocity between the coil and the magnet is:
\(
\mathrm{v}_{\mathrm{r}}=2 \mathrm{v}
\)
\(\therefore\) The new induced emf in the coil is:
\(
\mathrm{e}_{\text {new }}=\mathrm{B} l \cdot 2 \mathrm{~V}=2 \mathrm{e}
\)
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