The self-inductance of a coil is $50 \mathrm{mH}$. When a current of 1 A passing through the coil, reduces…

The self-inductance of a coil is $50 \mathrm{mH}$. When a current of 1 A passing through the coil, reduces to zero at a steady rate in $0.1 \mathrm{~s}$, then find the self-induced emf.
  1. $5 \mathrm{~V}$
  2. $0.05 \mathrm{~V}$
  3. $50 \mathrm{~V}$
  4. $0.5 \mathrm{~V}$

Solution

Given, self inductance, $L=50 \mathrm{mH}$ Change in current, $I=1 \mathrm{~A}$ Time, $t=0.1 \mathrm{~s}$ As, $\quad \operatorname{emf}(\varepsilon)=L \frac{d i}{d t}$ $\Rightarrow \quad \varepsilon=50 \times 10^{-3} \times \frac{1}{0.1}=0.5 \mathrm{~V}$

Asked in: AP EAMCET 2021 (23 Aug Shift 1)

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