Question

Three condensers of· capacities C₁, C₂, C₃ are connected in series with a source of e.m.f. V. The potentials across the three condensers are in the ratio of ______

Options

• `C_1^2 : C_2^2 : C_3^2`

• 1 : 1 : 1

• C₁ : C₂ : C₃

• `1/C_1 : 1/C_2 : 1/C_3`

Answer 1

Three condensers of· capacities C₁, C₂, C₃ are connected in series with a source of e.m.f. V. The potentials across the three condensers are in the ratio of `underline(1/C_1 : 1/C_2 : 1/C_3)`.

Explanation:

When capacitors are connected in series, the charge is the same on all the capacitors.

Q = C₁V₁ = C₂V₂ = C₇V₃ 

Or `V_1/(1/C_1) = V_2/(1/C_2) = V_3/(1/C_3)`