A) \[2500\,rad-{{s}^{-1}}and\,5\sqrt{2}A\]
B) \[2500\text{ }rad-{{s}^{-1}}and\text{ }5\text{ }A\]
C) \[2500\text{ }rad-{{s}^{-1}}and\,\frac{5}{\sqrt{2}}\text{ }A\]
D) \[250\,rad-{{s}^{-1}}and\,5\sqrt{2}A\]
E) \[25\,rad-{{s}^{-1}}and\,5\sqrt{2}A\]
Correct Answer: B
Solution :
Resonance frequency, \[\omega =\frac{1}{\sqrt{LC}}\] \[=\frac{1}{\sqrt{8\times {{10}^{-3}}\times 20\times {{10}^{-6}}}}\] \[=\frac{1}{4\times {{10}^{-4}}}=\frac{{{10}^{4}}}{4}\] \[\approx 2500\,rad/s\] Amplitude of current, \[{{I}_{0}}=\frac{V}{R}=\frac{220}{44}\] \[=5A\]
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