A network of capacitors is as shown below. If the voltage supply is 100 V , find the energy stored in the 6 ~F capacitor. C₁=3 F, C₂=6 F, C₃=3 F and C₄=4 F

Step-by-step solution

The circuit consists of a capacitor C₄ in parallel with the series combination of C₁, C₂, and C₃ . First, calculate the equivalent capacitance of the series branch containing C₁, C₂, and C₃ . Let this be C_ series . 1 C_ series = 1 C₁ + 1 C₂ + 1 C₃ = 1 3 + 1 6 + 1 3 = 2+1+2 6 = 5 6 F⁻¹ C_ series = 6 5 = 1.2 F The voltage across the series branch is equal to the supply voltage V = 100 V . The charge Q on the series branch is Q = C_ series V = 1.2 F 100 V = 120 C . Since C₁, C₂, and C₃ are in series, they all carry t