Capacitor in an AC Circuit

Q. The impedance of R-C circuit is Z1 for a frequency f and Z2 for frequency 2f.then Z1/Z2 is

Q. In a given circuit, if peak voltage across resistance is 8V, then the value of capacitance is

1. $3\mu F$
2. $256.\mu F$
3. $333.3\mu F$
4. $50\mu F$

Q. A capacitor circuit is equipped with key switch $k$ as shown. Initially key switch is open. The excess charge flowing through the cell on closing the key $k$ is equal to

1. $\frac{CV}{4}$
2. $4CV$
3. $\frac{4}{3}CV$
4. $\frac{3}{4}CV$

Q. If an alternating voltage is given by the equation, $E=500\sin \left(100\pi t\right)\text{V}$, then calculate the time taken to reach from zero $($at $t=0)$ to its first maximum value.

1. $1/10\text{s}$
2. $1/200\text{s}$
3. $1/50\text{s}$
4. $1/20\text{s}$

Q. A capacitor of capacitive reactance $10\Omega$ is connected to an AC source having voltage $V=5\sin (\omega t+\frac{\pi }{6}).$ What is the value of peak current?

1. $\frac{1}{2}A$
2. $\frac{1}{3}A$
3. $\frac{1}{4}A$
4. $\frac{1}{5}A$

Q.
In a given circuit, switch S was closed for a long time and is opened in an instant. Charge on capacitor after time $t=\frac{\pi }{1200}sec$ after opening the switch is

1. $1.73mC$
2. $14.1mC$
3. $10mC$
4. $5mC$

Q. A 100 pF capacitor is connected to a 50 Hz voltage supply that produces an rms voltage of 110 V. What is the maximum charge that appears on either of the capacitor plates ?

1. $1.5\times {10}^{-5}$ C
2. $1.8\times {10}^{-5}$ C
3. $1.2\times {10}^{-5}$ C
4. $2.4\times {10}^{-5}$ C