MHT CET · Physics · Electromagnetic Induction
The coil and magnet are moved in the same direction with same speed (V). The induced e.m.f. is
- A zero.
- B proportional to V .
- C proportional to \(\mathrm{V}^{-1}\).
- D finite but does not depend on V.
Answer & Solution
Correct Answer
(A) zero.
Step-by-step Solution
Detailed explanation
\(e=-N \frac{d \phi}{d t}\)
As the coil and magnet are moving in same direction in same speed,
\(\begin{array}{ll}
\therefore & \phi=\mathrm{B} \cdot \mathrm{~A}=\mathrm{constant} \\
\therefore & \frac{\mathrm{~d} \phi}{\mathrm{dt}}=0
\end{array}\)
Thus, the emf induced is zero because the relative speed of magnet with respect to coil is zero.
As the coil and magnet are moving in same direction in same speed,
\(\begin{array}{ll}
\therefore & \phi=\mathrm{B} \cdot \mathrm{~A}=\mathrm{constant} \\
\therefore & \frac{\mathrm{~d} \phi}{\mathrm{dt}}=0
\end{array}\)
Thus, the emf induced is zero because the relative speed of magnet with respect to coil is zero.
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