In the transformer shown in the figure, the ratio of the number of turns of the primary to the secondary is N₁/N₂=1/50. If a voltage source of 10 V is connected across the primary, then the induced current through the load of 10 kΩ in the secondary is:
        

1. \(\frac{1}{20}~A\)

2. zero

3. \(\frac{1}{10}~A\)

4. \(\frac{1}{5}~A\)

An AC ammeter is used to measure the current in a circuit. When a given direct current passes through the circuit, the ac ammeter reads 6 A. When another alternating current passes through the circuit, the AC ammeter reads 8 A. Then the reading of this ammeter if DC and AC flow through the circuit simultaneously is:

1. $10\sqrt{2}$ A

2. 14 A

3. 10 A

4. 15 A

A direct current of \(5~ A\) is superimposed on an alternating current \(I=10sin ~\omega t\) flowing through a wire. The effective value of the resulting current will be:

An ideal resistance R, ideal inductance L, ideal capacitance C, and AC voltmeters ${\mathrm{V}}_1,$ ${\mathrm{V}}_2,$ ${\mathrm{V}}_3$ $\mathrm{and}$ ${\mathrm{V}}_4$ are connected to an AC source as shown. At resonance:

In an L-C-R series AC circuit, the voltage across each of the components - L, C and R is 50 V. The voltage across the L-R combination will be:
1. 50 V
2. \(50 \sqrt{2} ~V\)
3. 100 V
4. 0 V 

An AC voltage source is connected to a series \(LCR\) circuit. When \(L\) is removed from the circuit, the phase difference between current and voltage is \(\frac{\pi}{3}\). If \(C\) is instead removed from the circuit, the phase difference is again \(\frac{\pi}{3}\) between current and voltage. The power factor of the circuit is:
1. \(0.5\)
2. \(1.0\)
3. \(-1.0\)
4. zero

The circuit is in a steady state when the key is at position 1. If the switch is changed from position 1 to position 2, then the steady current in the circuit will be:
  
1. \(E_o \over R\)
2. \(E_o \over 3R\)
3. \(E_o \over 2R\)
4. \(E_o \over 4R\)

What is the average power dissipated in the ac circuit if current i = 100sin100t A and V=100sin(100t+π/3) volts?

1. 2500 W

2. 250 W

3. 5000 W

4. 4000 W

In a box Z of unknown elements (L or R or any other combination), an ac voltage $E=E_0\sin (\omega t+\varphi )$ $$is applied and the current in the circuit is found to be $I=I_0\sin (\omega t+\varphi +\frac{\pi }{4})$. The unknown elements in the box could be:

It is found that the current through the LCR series circuit is at its maximum. If $V_r,V_c\mathrm{ a}nd{\mathrm{ V}}_L$ are potential differences across resistance, capacitor, and inductor respectively, then which of the following is correct?