First slide

Inductance

Question

A coil of inductance 0.20 H is connected in series with a switch and a cell of emf 1.6 V. The total resistance of the circuit is 4.0 W. What is the initial rate of growth of the current when the switch is closed?

Easy

A

0.050 A $s^{- 1}$
B

0.40 A $s^{- 1}$
C

0.13 A $s^{- 1}$
D

8 A $s^{- 1}$

Solution

$V = R I + L \frac{d I}{\begin{array}{l} d t \end{array}}$ , at t=0, I=0 $\frac{d I}{d t} = \frac{V}{L} = \frac{1.6}{0.2} = 8 A / s$

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