Question

A capacitance C and an inductance L are operated at the same angular frequency.

Answer 1

Answer:

(B) 7279.70 rad/sec (C) $X_L=37.1265\ ohm\ and \ X_C=37.1265\ ohm$

Explanation:

We have given $L=5.10mH$ and $C=3.70\mu F$

(B) The angular frequency is denoted as $\omega$ whose value is given by $\omega =\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{5.10\times 10^{-3}\times 3.70\times 10^{-6}}}=7279.70\ rad/sec$

(C) The inductive reactance $X_L=\omega L=7279.70\times 5.10\times 10^{-3}=37.1265\ ohm$

Capacitive reactance  $X_C=\frac{1}{\omega C}=\frac{1}{7279.70\times 3.70\times 10^{-6}}=37.1265\ ohm$