The potential difference in open circuit for a cell is 2.2 volts. When a 4-ohm resistor is connected between its two electrodes the potential difference becomes 2 volts. The internal resistance of the cell will be :

1. 1 ohm

2. 0.2 ohm

3. 2.5 ohm

4. 0.4 ohm

A cell whose e.m.f. is 2 V and internal resistance is 0.1 Ω, is connected with a resistance of 3.9 Ω. The voltage across the cell terminal will be :

1. 0.50 V

2. 1.90 V

3. 1.95 V

4. 2.00 V

n identical cells each of e.m.f. E and internal resistance r are connected in series. An external resistance R is connected in series to this combination. The current through R is 

1. $\frac{nE}{R+nr}$

2. $\frac{nE}{nR+r}$

3. $\frac{E}{R+nr}$

4. $\frac{nE}{R+r}$

A cell of internal resistance r is connected to an external resistance R. The current will be maximum in R, if :

1. R = r

2. R < r

3. R > r

4. None of these

Two identical cells send the same current in 2 Ω resistance, whether connected in series or in parallel. The internal resistance of the cell should be 

1. 1 Ω

2. 2 Ω

3. $\frac{1}{2}\Omega$

4. 2.5 Ω

The internal resistances of the two cells shown are 0.1 Ω and 0.3 Ω. If R = 0.2 Ω, the potential difference across the cell :

1. B will be zero

2. A will be zero

3. A and B will be 2V

4. A will be > 2V and B will be < 2V

The figure shows a network of currents. The magnitude of currents is shown here. The current i will be 

1. 3 A

2. 13 A

3. 23 A

4. – 3 A

A battery of emf \(E\) and internal resistance \(r\) is connected to a variable resistor \(R\) as shown below. Which one of the following is true​​​​​?

Consider the circuit given here with the following parameters E.M.F. of the cell = 12 V. Internal resistance of the cell = 2 Ω. Resistance R = 4 Ω. Which one of the following statements is true.

1. Rate of energy loss in the source is = 8 W

2. Rate of energy conversion in the source is 16 W

3. Power output in R is = 8 W

4. Potential drop across R is = 16 V

The current in the arm \(CD\) of the circuit will be:
             

1. \(i_{1} + i_{2}\)

2. \(i_{2} + i_{3}\)

3. \(i_{1} + i_{3}\)

4. \(i_{1} - i_{2} + i_{3}\)