MHT CET · Physics · Electromagnetic Induction
When a current of \(2 \mathrm{~A}\) is passed through a coil of 100 turns, flux associated with it is \(5 \times 10^{-5} \mathrm{~Wb}\). Find the self inductance of the coil.
- A \(4 \times 10^{-3} \mathrm{H}\)
- B \(4 \times 10^{-2} \mathrm{H}\)
- C \(2.5 \times 10^{-3} \mathrm{H}\)
- D \(10^{-3} \mathrm{H}\)
Answer & Solution
Correct Answer
(C) \(2.5 \times 10^{-3} \mathrm{H}\)
Step-by-step Solution
Detailed explanation
Self inductance, \(L=\frac{N \phi}{i}\)
\(
\begin{array}{l}
=\frac{100 \times 5 \times 10^{-5}}{2} \\
=250 \times 10^{-5} \\
=2.5 \times 10^{-3} \mathrm{H}
\end{array}
\)
\(
\begin{array}{l}
=\frac{100 \times 5 \times 10^{-5}}{2} \\
=250 \times 10^{-5} \\
=2.5 \times 10^{-3} \mathrm{H}
\end{array}
\)
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