Question

For the series LCR circuit shown in the figure, what is the resonance frequency and the amplitude of the current at the resonating frequency.

• A. $2500rad{s}^{-1}$ and $5\sqrt{2}A$
• B. $2500rad{s}^{-1}$ and $5A$
• C. $2500rad{s}^{-1}$ and $\frac{5}{\sqrt{2}}A$
• D. $25rad{s}^{-1}$ and $5\sqrt{2}A$

Answer 1

The correct option is B $2500rad{s}^{-1}$ and $5A$

$\omega =\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{8\times {10}^{-3}\times 20\times {10}^{-6}}}=2500rad/sec$

Resonance current $=\frac{V}{R}=\frac{220}{44}=5A$