# an LCR series circuit with L = 100 mH , c= 100 uF , R = 120 ohm is connected an ac source of emf E = 30 sin 100 t volt . find the impedance , peak currrent and resonant frequency of the circuit .

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$f=\sqrt{{R}^{2}+{\left(\omega L-\frac{1}{\omega C}\right)}^{2}}$