Question

The total charge on the system of capacitors C₁ = 1 µF, C₂ = 2 µF, C₃ = 4 µF and C₄ = 3 µF connected in parallel is ______. (Assume a battery of 20 V is connected to the combination)

Options

• 200 µC

• 200 C

• 10 µC

• 10 C

Answer 1

The total charge on the system of capacitors C₁ = 1 µF, C₂ = 2 µF, C₃ = 4 µF and C₄ = 3 µF connected in parallel is 200 µC. 

Explanation:

Considering that every capacitor is connected in parallel, the equivalent capacitance will be

C_eq = C₁ + C₂ + C₃ + C₄

= 1 + 2 + 4 + 3 

= 10 µF 

Voltage of battery V = 20 V

We have, Q = CV

= 10 µF × 20

= 200 µC.