A $100\,\Omega$ resistance and a capacitor of $100\,\Omega$ reactance are connected in series across a $200\,{\mkern 1mu} V$ source. When the capacitor is 50% charged, the peak value of the displacement current is

A resistor $'R'$ and $2\mu F$ capacitor in series is connected through a switch to $200\;V$ direct supply. Across the capacitor is a neon bulb that lights up at $120\;V.$ Calculate the value of $R$ to make the bulb light up $5s$ after the switch has been closed. $\left( {{{\log }_{10}}2.5 = 0.4} \right)$

The current flowing in a step down transformer 220 V to 22 V having impedance 220 Ω is

In a purely inductive AC circuit, the current _______ the voltage.

In a series LCR circuit driven by an AC source, removing the inductor creates a phase difference of $\frac{\pi}{4}$ between current and voltage. Removing the capacitor leads to the same phase difference. Determine the power factor of the circuit.

In an RC series circuit with $R = 75\Omega$ and $X_C = 75\Omega$, connected to a $150V$ AC source, determine the peak displacement current.

A series LCR circuit connected to an AC source resonates at a frequency $f_0$. If either the inductor or the capacitor is removed, the phase difference between the current and voltage becomes $\phi$. Which of the following statements is true?

A coil of self-inductance $\left( {\frac{1}{\pi }} \right)H$ is connected in series with a $300\,\Omega$ resistance. A voltage of 200 V at frequency 200 Hz is applied to this combination. The phase difference b/w the voltage and the current will be

A resistor $'R'$ and $2\mu F$ capacitor in series is connected through a switch to $200\;V$ direct supply. Across the capacitor is a neon bulb that lights up at $120\;V.$ Calculate the value of $R$ to make the bulb light up $5s$ after the switch has been closed. $\left( {{{\log }_{10}}2.5 = 0.4} \right)$

An inductor of $2\,\,henry$ and a resistance of $10\,\,ohms$ are connected in series with a battery of $5\,\,volts$. The initial rate of change of current is

In a series R-C circuit, the voltage across the capacitor lags the current by $\frac{\pi}{2}$. If the frequency of the source is doubled, the phase difference between the voltage across the capacitor and the current will: