$A$ coil of inductive reactance $\frac{1}{\sqrt{3}} \Omega$ and a resistance $1 \Omega$ are connected in series to a $200 \ V, 50 \ Hz$ ac source. The time lag between voltage and current is

An inductance coil has a resistance of $100 \Omega$. When an $A.C.$ signal of frequency $100 \ Hz$ is applied to the coil,the voltage leads the current by $45^{\circ}$. The inductance of the coil in henry is $\left[\sin 45^{\circ}=\cos 45^{\circ}=\frac{1}{\sqrt{2}}\right]$

$A$ bulb connected in series with an air-core solenoid is lit by an $A.C.$ source. If a soft iron core is inserted into the solenoid,then

An inductor of inductance $L$ and a resistor of resistance $R$ are joined in series and connected to a source of frequency $\omega$. The power dissipated in the circuit is

$A$ capacitor and a resistor of resistance $100 \sqrt{3} \Omega$ are connected in series to an $AC$ source of voltage $V = 100 \sin(200t) \text{ V}$,where $t$ is time in seconds. If the phase difference between the voltage and the current in the circuit is $30^{\circ}$,then the capacitance of the capacitor is: (in $\mu \text{F}$)

Which one of the following curves represents the variation of impedance $(Z)$ with frequency $(f)$ in a series $L-C-R$ circuit,when connected to an $AC$ source?