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7.Alternating Current
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An inductance of $1\, mH$ a condenser of $10$ $\mu$ $F$ and a resistance of $50\, \Omega $ are connected in series. The reactances of inductor and condensers are same. The reactance of either of them will be........$\Omega$
A
$100$
B
$30$
C
$3.2$
D
$10$
Solution
(d) Given $\omega L = \frac{1}{{\omega C}}\, \Rightarrow $ ${\omega ^2} = \frac{1}{{LC}}$
or $\omega = \frac{1}{{\sqrt {{{10}^{ – 3}} \times 10 \times {{10}^{ – 6}}} }} = \frac{1}{{\sqrt {{{10}^{ – 8}}} }} = {10^4}$
${X_L} = \omega L = {10^4} \times {10^{ – 3}} = 10\,\Omega $
Standard 12
Physics
