# Please help me solve this section d

Solution

The solution/s to your query Q27 has been provided below:

Q27.

Given,

L = 50 mH

C = 80 $\mu $F

R = 40 $\Omega $

(i) Resonance occurs when X

_{L}= X

_{C}

$\omega L=\frac{1}{\omega C}\phantom{\rule{0ex}{0ex}}{\omega}^{2}=\frac{1}{LC}\phantom{\rule{0ex}{0ex}}4{\pi}^{2}{f}^{2}=\frac{1}{LC}\phantom{\rule{0ex}{0ex}}f=\sqrt{\frac{1}{4{\pi}^{2}LC}}=\sqrt{\frac{1}{4{\pi}^{2}\times 50\times {10}^{-3}\times 80\times {10}^{-6}}}=79.6Hz$

(ii) The current in an AC circuit is said to be Wattless Current when the average power consumed in such circuit corresponds to Zero.

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