An alternating voltage (in volts) given by \(V=200\sqrt{2}sin100t\) is connected to a\(1~\mu F\) capacitor through an \(ac\) ammeter. The reading of the ammeter will be:

In the circuit shown below, what will be the readings of the voltmeter and ammeter?
           

1. 800 V, 2 A

2. 300 V, 2 A

3. 220 V, 2.2 A

4. 100 V, 2 A

An alternating current of frequency ‘f’ is flowing in a circuit containing a resistance R and a choke L in series. The impedance of this circuit will be:

1. R + 2πfL

2. $\sqrt{R^2+4{\pi }^2{f}^2{L}^2}$

3. $\sqrt{R^2+L^2}$

4. $\sqrt{R^2+2\pi fL}$

In an LCR circuit, the potential difference between the terminals of the inductance is 60 V, between the terminals of the capacitor is 30 V and that between the terminals of the resistance is 40 V. The supply voltage will be equal to:

1. 50 V

2. 70 V

3. 130 V

4. 10 V

In a series RLC circuit, potential differences across R, L and C are 30 V, 60 V and 100 V respectively, as shown in the figure. The emf of the source (in volts) will be:

1. 190

2. 70

3. 50

4. 40

In an LCR series network, ${\mathrm{V}}_{\mathrm{L}}=40$ $\mathrm{V},$ ${\mathrm{V}}_{\mathrm{C}}=20$ $\mathrm{V}$ $\mathrm{and}$ ${\mathrm{V}}_{\mathrm{R}}=15$ $\mathrm{V}$. The supply voltage will be:

1.  25 V

2.  75 V

3.  35 V

4.  Zero

L, C and R represent physical quantities inductance, capacitance and resistance respectively. The combination representing the dimension of frequency will be:

1. LC

2. (LC)^–1/2

3. ${\left(\frac{{\displaystyle L}}{{\displaystyle C}}\right)}^{-1/2}$

4. $\frac{C}{L}$

A series AC circuit has a resistance of 4 $\mathrm{\Omega }$ and an inductor of reactance 3 $\mathrm{\Omega }$. The impedance of the circuit is z₁. Now when a capacitor of reactance 6 $\mathrm{\Omega }$ is connected in series with the above combination, the impedance becomes $z_{2.}$ $\frac{{\mathrm{z}}_1}{{\mathrm{z}}_2}$ will be:

1. 1 : 1

2. 5 : 4

3. 4 : 5

4. 2 : 1

In the circuit shown in the figure, neglecting source resistance, the voltmeter and ammeter reading respectively will be:

1. 0 V, 3 A
2. 150 V, 3 A
3. 150 V, 6 A
4. 0 V, 8 A

In a series LCR circuit, resistance \(R=10~\Omega\) and the impedance \(Z=20~\Omega\). The phase difference between the current and the voltage will be:

1. 30°

2. 45°

3. 60°

4. 90°