MHT CET · Physics · Electromagnetic Induction
What is the self inductance of a coil in which an induced emf of \(2 \mathrm{~V}\) is set up, when the current is changing at the rate of \(4 \mathrm{As}^{-1}\)
- A \(0.5 \mathrm{mH}\)
- B \(0.05 \mathrm{H}\)
- C \(2 \mathrm{H}\)
- D \(0.5 \mathrm{H}\)
Answer & Solution
Correct Answer
(D) \(0.5 \mathrm{H}\)
Step-by-step Solution
Detailed explanation
Induced emf, \(e=\frac{L d i}{d t}\), here, \(e=2 \mathrm{~V}, \frac{d i}{d t}=4 \mathrm{As}^{-1}\)
\(\begin{aligned}
\Rightarrow \quad & 2=L \times 4 \\
L &=\frac{2}{4}=0.5 \mathrm{H}
\end{aligned}\)
\(\begin{aligned}
\Rightarrow \quad & 2=L \times 4 \\
L &=\frac{2}{4}=0.5 \mathrm{H}
\end{aligned}\)
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