# For the series LCR circuit what is resonance frequency and amplitude.

$(a)\;2500\;rad\;s^{-1}\;and\; 5 \sqrt 2 A \\ (b)\;2500\;rad\;s^{-1}\;and\; 5 \; A \\(c)\;2500\;rad\;s^{-1}\;and \frac{5}{\sqrt 2}\; A \\(d)\;25 \;rad\;s^{-1}\;and\; 5 \sqrt 2 A$

Resonance frequency $w= \large\frac{1}{\sqrt {LC}}$
$\qquad= \large\frac{1}{\sqrt {8 \times 10^{-3} \times 20 \times 10^{-6}}}$
$\qquad= 2500 \;rad/s$
$\qquad= \large\frac{V}{R}=\large\frac{220}{44}$$=5\;A$
Hence b is the correct answer.