Alternating Cur...

In the given AC circuit

An alternating current of $$1.5mA$$ and angular frequency $$300\ rad/sec$$ flows through a $$10K\Omega $$ resistor and a $$0.50\mu F$$ capacitor in series. find the rms voltage across the capacitor and impedance of the circuit?

An inductance of $$2H$$ , capacitance of $$8\mu F$$ and resistance of  $$10K\Omega$$ are connected in series to an AC source of $$100V$$ with adjustable frequency. The angular frequency at which current in the circuit is maximum is :

A bulb is rated $$55 W/110 V$$. It is to be connected to a $$220 V/50 Hz$$ with inductor in series. The value inductance, so that bulb gets correct voltage is: 

If $${W_1}and\;{W_2}$$ are half power frequencies of series LCR circuit, Then the reasonant frequency of the circuit is-

In an a.c. circuit consisting of resistance $$R$$ and inductance $$L$$, the voltage across $$R$$ is $$60$$ volt and that across $$L $$ is $$80$$ Volt.The total Voltage across the combination is 

If alternating current of rms value 'a' flows through resistance R then power loss in resistance is :

An oscillating circuit of a capacitor with capacitance $$C$$, a coil of inductance $$L$$ with negligible resistance, and switch. With the switch disconnected the capacitor was charged to a voltage $$V_m$$ and then at the moment $$t=0$$, the switch was closed. The current $$I$$ in the circuit as a function of time is represented as 

The inductive reactance of a coil is  $$1000\Omega .$$ If its self inductance and frequency both are increased two  times, then inductive reactance will be

Calculate the capacitive reactance of a condenser in order to run a bulb rated at $$10\ watt\ 60\ volt$$ when connected in series to an a.c. source of $$100\ volt$$.