Question

For the circuit shown, with R₁ = 1.0 Ω, R₂ = 2.0 Ω, E₁ = 2 V, and E₂ = E₃ = 4 V, the potential difference between the points 'a' and 'b' is approximately (in V) ______.

Options

• 2.7

• 2.3

• 3.7

• 3.3

Answer 1

For the circuit shown, with R₁ = 1.0 Ω, R₂ = 2.0 Ω, E₁ = 2 V, and E₂ = E₃ = 4 V, the potential difference between the points 'a' and 'b' is approximately (in V) 3.3.

Explanation:

Given: for the circuit shown below,

R₁ = 1.0 Ω, R₂ = 2.0 Ω, E₁ = 2 V

E₂ = E₃ = 4 V.

To find:

The potential difference between points a and b.

The preceding circuit is a parallel combination of three cells.

V_ab = R_eq I_eq = `((2/2 + 4/2 + 4/2))/(1/2 + 1/2 + 1/2) = 10/3` = 3.3 V