Q. The graph gives the magnitude $B(t)$ of a uniform magnetic field that exists throughout a conducting loop, perpendicular to the plane of the loop. Rank the five regions of the graph according to the magnitude of the emf induced in the loop, greatest first

A) $b > (d = e) < (a = c)$
B) $b > (d = e) > (a = c)$
C) $b < d < e < c < a$
D) $b > (a = c) > (d = e)$
Explanation

(b) Induced emf $e = A\frac{dB}{dt}$
$i.e.,e \propto \frac{dB}{dt}$ (= slope of $B - t$ graph)
In the given graph slope of $AB >$ slope of $CD,$ slope in the $'a'$ region $=$ slope in the $'c'$ region = 0, slope in the $'d'$ region = slope in the $'e'$ region $\neq 0$. That’s why $b > (d = e) > (a = c)$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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