$A$ resistor of resistance $R$ and an inductor of inductive reactance $R$ are connected in series to an $AC$ source. $A$ capacitor of capacitive reactance $2R$ is then connected in series with $L$ and $R$. The ratio of the power factors of the $LR$ and $LCR$ circuits is:

$A$ series $RLC$ circuit is shown here. The source frequency $f$ is varied, but the current is kept unchanged. Which of the curves showing changes of $V_C$ and $V_L$ with frequency would be valid for the circuit under consideration?

$A$ steady current of magnitude $I$ and an $AC$ current of peak value $I$ are allowed to pass through identical resistors for the same time. The ratio of heat produced in the two resistors will be

$A$ $100 \, \Omega$ resistance and a capacitor of $100 \, \Omega$ reactance are connected in series across a $220 \, V$ source. When the capacitor is $50\%$ charged,the peak value of the displacement current is.....$A$

$A$ coil,a capacitor,and an $AC$ source of $rms$ voltage $24 \,V$ are connected in series. By varying the frequency of the source,a maximum $rms$ current of $6 \,A$ is observed. If the coil is connected to a battery of $emf$ $12 \,V$ and internal resistance $4 \,\Omega$,then the current through it in the steady state is......$A$

In domestic electric mains supply,the voltage and the current are