First slide

AC Circuits

Question

An inductance of 1 mH a condenser of 10 $μ$ F and a resistance of 50 $Ω$ are connected in series. The reactances of inductor and condensers are same. The reactance of either of them will be

Moderate

A

100 $Ω$
B

30 $Ω$
C

3.2 $Ω$
D

10 $Ω$

Solution

Given $ωL = \frac{1}{ωC} \Rightarrow ω^{2} = \frac{1}{LC}$
or $ω = \frac{1}{\sqrt{10^{- 3} \times 10 \times 10^{- 6}}} = \frac{1}{\sqrt{10^{- 8}}} = 10^{4}$
$X_{L} = ωL = 10^{4} \times 10^{- 3} = 10 Ω$

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