Q121 / 160 · JIPMER 2010 · Physics

In 0.1 s , the current in a coil increases from 1 A to 1.5A. If inductance of coil is 60 mH , then induced current in external resistance of $3 \Omega$ will be

  • A
    1A
  • B
    0.5A
  • C
    0.2A
  • Correct answer
    D
    0.1A

Solution

Induced emf, $\begin{aligned} |e|=L \frac{d i}{d t} & =\left(60 \times 10^{-3}\right) \times \frac{(1.5-1)}{0.1} \\ & =\frac{60 \times 10^{-3} \times 0.5}{0.1}=0.3 \mathrm{~V} \end{aligned}$ Induced current, $i=\frac{e}{R}=\frac{0.3}{3}=0.1 \mathrm{~A}$

Hence, the correct answer is option: 'D'.

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