The magnetic flux through a coil of resistance \( 10\,\Omega \) changes from 0.05 Wb to 0.55 Wb in 0.1 s. What is the induced current in the coil?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 0.5 A
By Faraday’s law, the induced emf equals the rate of change of magnetic flux, and the induced current follows from Ohm’s law.
\( \begin{aligned} \varepsilon &= \frac{\Delta\Phi}{\Delta t} \\ &= \frac{(0.55-0.05)\,\mathrm{Wb}}{0.1\,\mathrm{s}} \\ &= 5\,\mathrm{V} \end{aligned} \)
\( \begin{aligned} I &= \frac{\varepsilon}{R} \\ &= \frac{5\,\mathrm{V}}{10\,\Omega} \\ &= 0.5\,\mathrm{A} \end{aligned} \)