If potential differences measured in ac voltmeters across the inductor, capacitor, and resistor in series \(LCR\) AC circuit are \(100~\text{V}, 100~\text{V}~\text{and}~50~\text{V}\) respectively, then the peak value of the applied AC voltage to the circuit is:
1. \(50~\text{V}\)
2. \(50\sqrt{2}~\text{V}\)
3. \(\frac{50}{\sqrt{2}}~\text{V}\)
4. \(\frac{100}{\pi}~\text{V}\)

Voltage and current in an A.C. circuit is given by $V=20\sin \left(314t\right) V and l=10\sin \left(314t+\frac{\pi }{3}\right) A.$

Wattful current in the circuit is-

$1. 10 A$
$2. 5 A$
$3. \frac{5}{\sqrt{2}}A$
$4. \frac{10}{\sqrt{2}}A$

Which of the following devices is not based on Faraday's law of electromagnetic induction?

1. AC generator

2. Speedometer

3. Induction motor

4. DC motor

Current l through an inductor is increasing according to $i=2t$. Variation of the rate of increment of its energy $\left(\frac{du}{dt}\right)$ with time t is correctly shown in the graph
  
1.                2. 
3.               4. 

A time-varying current is given by $l=5\sin \left(\omega t+\begin{array}{c}\pi \\ 6\end{array}\right)$ Its r.m.s. value is (symbols have usual meanings)

$1. 5\sqrt{5} A$
$2. 10 A$
$3. \frac{5}{\sqrt{2}} A$
$4. \frac{15}{\sqrt{2}}A$

An alternating voltage $V\sqrt{2}\sin \omega t$ at different frequencies is applied across a capacitor C as shown in the figure. Which of the following graphs between RMS current $(I)$$$ observed by an ammeter and angular frequency $\omega$ of voltage is correct?
          
1.              2. 
3.              4. 

In a series L-C-R circuit, different physical quantities vary with frequency $\omega$. Which of the following curves represent the correct frequency variation of the corresponding quantity?

1. Curve (l) for R

2. Curve (ll) for $X_C$

3. Curve (lll) for $X_L$

4. All of these

For the circuit shown in figure below, the ammeter $A_2$ reads 1.6 A and ammeter $A_3$ read 0.4 A If ${\omega }_0$ is angular frequency and $f$ is frequency of ac, then

$1. {\omega }_0=\frac{4}{\sqrt{LC}}$
$2. f=\frac{2\pi }{\sqrt{LC}}$
$3. The ammeter A_1 reads 1.2 A$
$4. The ammeter A_1 reads 2 A$

If the reading of $V_1$ and $V_3$ are 100 V each, the reading of $V_2$ is

1. 0 V

2. 100 V

3. 200 V

4. Cannot be determined by given information