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

$A$ 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:

An $AC$ voltage source of $E = 150 \sin(100t)$ is used to run a device which offers a resistance of $20 \,\Omega$ and restricts the flow of current in one direction only. The $r.m.s.$ value of current in the circuit will be.....$A$

$A$ choke coil is preferred to a $Rheostat$ in $AC$ circuits because:

$A$ direct current of $4\,A$ and an alternating current of peak value $4\,A$ flow through resistances of $3\,\Omega$ and $2\,\Omega$ respectively. The ratio of heat produced in the two resistances in the same interval of time will be.

An $AC$ generator consists of a coil of $100$ turns and is of cross-sectional area $3 \ m^2$. It is rotating at a constant angular speed of $60 \ rad \ s^{-1}$ in a uniform magnetic field of $0.04 \ T$. The resistance of the coil is $360 \ \Omega$. What is the maximum power dissipation in the coil (in $W$)?