Question

The potential difference between points x and y of circuit shown in the figure below is

(a) [(E₁ + E_2\)/(C₁ + C₂)]C₂

(b) [(E₁ - E₂ )/(C₁ + C₂)] C₂

(c) [(E₁ + E₂)/(C₁ + C₂)] C₁

(d) [(E₁ - E₂)/(C₁ + C₂ )] C₁ 

Answer 1

Correct option (c) [(E₁ + E₂)/(C₁ + C₂)] C₁

Explanation :

Both the capacitors are in series, hence total voltage (E) = E₁ + E₂

(As +ve terminal of one is connected to –ve terminal of other). So, Q is constant.