Q. The magnetic flux across a loop of resistance $10\Omega$ is given by $\phi = 5t^{2} - 4t + 1\ weber$. How much current is induced in the loop after 0.2 sec

A) $0.4\ A$
B) $0.2\ A$
C) $0.04\ A$
D) $0.02\ A$
Explanation

(b) Magnetic flux, $\phi = 5t^{2} - 4t + 1\ Wb$
$\therefore\frac{d\phi}{dt} = 10t - 4\ Wb\ s^{- 1}$
The induced $e$mf is $\varepsilon = \frac{- d\phi}{dt} = - (10t - 4)$
At, $t = 0.2\ S,\ \varepsilon = - (10 \times 0.2 - 4) = 2V$
The induced current is $I = \frac{\varepsilon}{R} = \frac{2V}{10\Omega} = 0.2\ A$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.