The magnitude and direction of the current in the circuit shown will be 

1. $\frac{7}{3}$A from a to b through e

2. $\frac{7}{3}$A from b to a through e

3. 1A from b to a through e

4. 1A from a to b through e

In the circuit shown, A and V are ideal ammeter and voltmeter respectively. Reading of the voltmeter will be

1. 2 V

2. 1 V

3. 0.5 V

4. Zero

Four identical cells each having an electromotive force (e.m.f.) of 12V, are connected in parallel. The resultant electromotive force (e.m.f.) of the combination is :

1. 48 V

2. 12 V

3. 4 V

4. 3 V

A capacitor is connected to a cell of emf E having some internal resistance r. The potential difference in steady state across the 

1. Cell is < E

2. Cell is E

3. Capacitor is > E

4. Capacitor is < E

A resistance of 4 Ω and a wire of length 5 metres and resistance 5 Ω are joined in series and connected to a cell of e.m.f. 10 V and internal resistance 1 Ω. A parallel combination of two identical cells is balanced across 300 cm of the wire. The e.m.f. E of each cell is:

1. 1.5 V

2. 3.0 V

3. 0.67 V

4. 1.33 V

In the circuit shown here, E₁ = E₂ = E₃ = 2 V and R₁ = R₂ = 4 ohms. The current flowing between points A and B through battery E₂ is 

1. Zero

2. 2 amp from A to B

3. 2 amp from B to A

4. None of the above

The equivalent resistance between the points P and Q in the network given here is equal to (given $r=\frac{3}{2}\Omega$) :

1. $\frac{1}{2}\Omega$

2. 1 Ω

3. $\frac{3}{2}\Omega$

4. 2 Ω

The current in a conductor varies with time t as $I=2t+3t^2$ where I is in ampere and t in seconds. The electric charge flowing through a section of the conductor during t = 2 sec to t = 3 sec is :

1. 10 C

2. 24 C

3. 33 C

4. 44 C

A group of N cells whose emf varies directly with the internal resistance as per the equation E_N = 1.5 r_N are connected as shown in the figure below. The current I in the circuit is 

1. 0.51 A

2. 5.1 A

3. 0.15 A

4. 1.5 A

As the switch S is closed in the circuit shown in the figure, the current passed through it is :

1. 4.5 A

2. 6.0 A

3. 3.0 A

4. Zero