First slide

AC Circuits

Question

An e.m.f. $E = 4 \cos (1000 t)$ volt is applied to an LR-circuit of inductance 3 mH and resistance 4 ohms. The amplitude of current in the circuit is

Moderate

A

$\frac{4}{\sqrt{7}} A$
B

1.0 A
C

$\frac{4}{7} A$
D

0.8 A

Solution

$i = \frac{V}{Z} = \frac{4}{\sqrt{4^{2} + {(1000 \times 3 \times 10^{- 3})}^{2}}} = 0 .8 A$

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