Question:
Two coils have mutual inductance of \(1.5\,H\). If current in primary coil is suddenly raised to \(5\,A\) in one millisecond, the induced emf in the secondary coil is:
Two coils have mutual inductance of \(1.5\,H\). If current in primary coil is suddenly raised to \(5\,A\) in one millisecond, the induced emf in the secondary coil is:
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For sudden changes, \( \frac{dI}{dt} = \frac{\Delta I}{\Delta t} \).
Updated On: Jun 16, 2026
- \(75\,V\)
- \(750\,V\)
- \(7500\,V\)
- \(75000\,V\)
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The Correct Option is C
Solution and Explanation
Concept: Induced emf due to mutual inductance: \[ e = M \frac{dI}{dt} \]
Step 1: Given values.
\[ M = 1.5\,H, \quad \Delta I = 5\,A, \quad \Delta t = 1\,ms = 10^{-3}s \]
Step 2: Substitute values.
\[ e = 1.5 \times \frac{5}{10^{-3}} = 1.5 \times 5000 = 7500\,V \] \[ \therefore e = 7500\,V \]
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