Alternating Cur...

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

In the LCR circuit shown in figure unknown resistance and alternating voltage source are connected. When switch $$'S'$$ is closed then there is a phase difference of $$\dfrac {\pi}{4}$$ between current and applied voltage and voltage across resister is $$\dfrac {100}{\sqrt {2}}V$$. When switch is open current and applied voltage are in same phase. Neglecting resistance of connecting wire answer the following questions:
Resonance frequency of circuit is

In the L -C circuit shown in figure,the current is in direction shown in the figure and charges on the capacitor plates have sign shown in the figure A this time:-

An alternating current is that current which changes regularly its

The voltage across a pure inductor is represented in figure. Which one of the following curves in the figure will represent the current?

In a series L-C circuit , if $$L= 10^{-3}$$H and $$C=3 \times 10^{-7}$$ F  is connected to a $$100V-50Hz$$ a.c. source, the impedance of the circuit is 

A $$2$$ $$F$$ capacitor is initially charged to $$20$$ $$V$$ and then shorted across a $$5$$ $$mH$$ inductor. The angular frequency of oscillation is.

A inductance capacitance circuit is in the state of resonance. if the $$C = 0.1 \mu F$$ and $$L = 0.25$$ Henry. Neglecting ohmic resistance of circuit what is the frequency of oscillations

In a series LCR circuit 
$$V_l = 3V_R$$ and $$V_C = 2V_R$$
Volatge across capacitance

In the given circuit the maximum current can be