First slide

Inductance

Question

A current of 5A is flowing through a 0.5 H inductor. If the current starts increasing at a rate of 2 A/S, power consumption by the inductor will be

Easy

A

5 W
B

7.5 W
C

2.5 W
D

0.5 W

Solution

(1)
Induced emf
$\begin{array}{l} ε = L \frac{d i}{d t} = 0.5 \times 2 v o l t = 1 v o l t \\ a n d t h u s e m f o p p o s e s t h e g r o w t h o f c u r r e n t . \\ ∴ p o w e r c o n s u m e d b y t h e i n d u c t o r = 1 \times 5 W = 5 w a t t . \end{array}$

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