ElectrostaticsHard
Question
The current i in a coil varies with time as shown in the figure. The variation of induced emf with time would be


Options
A.

B.

C.

D.

Solution
Induced emf, e = - L

For 0 ≤ t ≤

i-t graph is straight line with positive constant slope.
∴
= constant⇒ e = - ve and constant 0 ≤ t ≤
For
i is constant ∴
= 0⇒ e = 0

For

i-t graph is straight line with negative constant slope.
∴
= constant⇒ e = + ve and constant

For
≤ t ≤ T i is zero ∴
= 0⇒ e = 0
≤ t ≤ T From this analysis, the variation of induced emf with time as shown in the figure bellow
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