Q. The flux linked with circuit is given by $\ \phi = t^{3} + 3t - 7.$ The graph between time $(x - axis)$ and induced emf $(y - axis)$ will be a

A) Straight line through the origin
B) Straight line with positive intercept
C) Straight line with negative intercept
D) Parabola not through the origin
Explanation

(d) $\phi = t^{2} + 3t - 7$
$\therefore$ Induced emf
$e = - \frac{d\phi}{dt} = - \left( 3t^{2} + 3 \right) = - 3t^{2} - 3$
At $\ \ \ \ \ \ \ \ \ t = 0;\ \ \ \ \ e = - 3\ V$
Therefore, shape of graph will be a parabola not through origin.

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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