Alternating Cur...

When the rms voltages $$V_L, V_C$$ and $$V_R$$ are measured respectively across the inductor L, the capacitor C and the resistor R in a series LCR circuit connected to an AC source, it is found that the ratio $$V_L : V_C : V_R=1 : 2 : 3$$. If the rms voltage of the AC source is 100 V, then $$V_R$$ is close to :

In a series resonant $$LCR$$ circuit, the voltage across $$R$$ is $$100\ volts$$ and $$R = 1k\ \Omega $$ with $$C=2\ \mu F$$. The resonant frequency is $$200\ rad/s$$. At resonance the voltage across $$L$$ is 

An arc lamp requires a direct current of 10A at 80V to function. If it  is connected to a 220V (rms), 50 Hz AC supply, the series inductor needed  for it to work is close to:

In a series LCR circuit $$\mathrm{R}=200\ Omega$$ and the voltage and the frequency of the main supply is $$220$$ $$V$$ and $$50$$ $$Hz$$ respectively. On taking out the capacitance from the circuit the current lags behind the voltage by $$30^0$$. On taking out the inductor from the circuit the current leads the voltage by $$30^0$$. The power dissipated in the LCR circuit is

In an a.c. circuit, the instantaneous e.m.f. and current are given by $$e=100 \sin 30t$$, $$i=20\sin\left(30t -\displaystyle\frac{\pi}{4}\right)$$. In one cycle of a.c., the average power consumed by the circuit and the wattles current are, respectively.

In an LCR circuit, capacitance is changed from C to 2C. For the resonant frequency to remain unchanged, the inductance should be changed from L to : 

In an LCR series a.c. circuit, the voltage across each of the components. L, C and R is 50 V. The voltage across the LC combination will be; 

A series LR circuit is connected to a voltage source with $$V\left( t \right) ={ V }_{ 0 }\sin { \Omega t } $$. After very large time, current $$I\left( t \right) $$ behaves as $$\left( { t }_{ 0 }\gg \frac { L }{ R }  \right) $$

In an LCR circuit as shown below both switches are open initially. Now switch $$S_{1}$$ is closed, $$S_{2}$$ kept open. ( $$q$$ is charge on the capacitor and $$\tau=RC$$ is capacitive time constant). Which of the following statement is correct?

$$A$$ series $$R-C$$ combination is connected to an $$AC$$ voltage of angular frequency $$(\omega =500radian/s$$. lf the impedance of the $$R-C$$ circuit is $$R\sqrt{1.25}$$, the time constant (in millisecond) of the circuit is