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Q. The current $i$ in a coil varies with time as shown in the figure. The variation of induced emf with time would bePhysics Question Image

AIPMTAIPMT 2011Electromagnetic Induction

Solution:

We know induced induced emf $e=-L \frac{d i}{d t}$
During 0 to $\frac{T}{4}, \frac{d i}{d t}=$ constant
so, induced emf $e=-v e$
for $\frac{T}{4}$ to $\frac{T}{2}, \frac{d i}{d t}=0$
induced emf $e=0$
For $\frac{T}{2}$ to $\frac{3 T}{4}, \frac{d i}{d t}=$ constant
sol induced emf $e=+v e$