MHT CET · Physics · Electromagnetic Induction
A current \(\mathrm{I}=10 \sin (100 \pi \mathrm{t})\) ampere, is passed in coil which induces a maximum emf \(5 \pi\) volt in neighboring coil. The mutual inductance of two coils is
- A 5mH
- B 10mH
- C 15mH
- D 25mH
Answer & Solution
Correct Answer
(A) 5mH
Step-by-step Solution
Detailed explanation
Induced emf \(\mathrm{e}=\mathrm{M} \frac{\mathrm{dI}}{\mathrm{dt}}=\mathrm{M} \times 1000 \pi \cos (100 \pi \mathrm{t})\)
The maximum value of emf, \(\mathrm{e}_0=1000 \pi \mathrm{M}\)
\(\therefore \mathrm{M}=\frac{5 \pi}{1000 \pi}=5 \mathrm{mH}\)
The maximum value of emf, \(\mathrm{e}_0=1000 \pi \mathrm{M}\)
\(\therefore \mathrm{M}=\frac{5 \pi}{1000 \pi}=5 \mathrm{mH}\)
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