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

Question

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 (A) zero (B) 2 A from A to B (C) 2 A from B to A (D) None of the above

Tardigrade Admin · Accepted Answer

The given circuit can be redrawn as: <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/7c47ff07fa25d59110301b6292282222-.png" /> E eq =(E1 R2+E2 R1/R1+R2)=(2 × 4+2 × 4/4+4)=2 V and R eq =(4/2)=2 Ω Current, i=(2+2/2)=2 A from A to B through E2.

Q. In the circuit shown here, $E_{1} = E_{2} = E_{3} = 2 V$ and $R_{1} = R_{2}$ $= 4$ ohms. The current flowing between points $A$ and $B$ through battery $E_{2}$ is

zero

$2 A$ from $A$ to $B$

$2 A$ from $B$ to $A$

None of the above

The given circuit can be redrawn as:

$E_{e q} = \frac{E _{1} R _{2} + E _{2} R _{1}}{R _{1} + R _{2}} = \frac{2 \times 4 + 2 \times 4}{4 + 4} = 2 V$ and
$R_{e q} = \frac{4}{2} = 2 Ω$
Current, $i = \frac{2 + 2}{2} = 2 A$ from $A$ to $B$ through $E_{2}$ .

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

zero

2A from A to B

2A from B to A

None of the above

The given circuit can be redrawn as: Eeq​=R1​+R2​E1​R2​+E2​R1​​=4+42×4+2×4​=2V and Req​=24​=2Ω Current, i=22+2​=2A from A to B through E2​.

Q. In the circuit shown here, $E_{1} = E_{2} = E_{3} = 2 V$ and $R_{1} = R_{2}$ $= 4$ ohms. The current flowing between points $A$ and $B$ through battery $E_{2}$ is

$2 A$ from $A$ to $B$

$2 A$ from $B$ to $A$

The given circuit can be redrawn as:

$E_{e q} = \frac{E _{1} R _{2} + E _{2} R _{1}}{R _{1} + R _{2}} = \frac{2 \times 4 + 2 \times 4}{4 + 4} = 2 V$ and
$R_{e q} = \frac{4}{2} = 2 Ω$
Current, $i = \frac{2 + 2}{2} = 2 A$ from $A$ to $B$ through $E_{2}$ .