First slide

AC Circuits

Question

In a series circuit R = 300 $Ω$ , L = 0.9 H, C = 2.0 $μ$ F and $ω$ = 1000 rad/sec. The impedance of the circuit is

Moderate

A

1300 $Ω$
B

900 $Ω$
C

500 $Ω$
D

400 $Ω$

Solution

For series R-L-C circuit, $Z = \sqrt{R^{2} + {(X_{L} - X_{C})}^{2}}$
$= \sqrt{{(300)}^{2} + {(1000 \times 0 .9 - \frac{10^{6}}{1000 \times 2})}^{2}} = 500 Ω$

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