Question

Obtain the equivalent capacitance of the network shown in the figure. For a 300 V supply, determine the charge on each capacitor.

 

Answer 1

The equivalent capacitance = ${\displaystyle \frac{200}{3}}$ pF

charge on C₄ = ${\displaystyle \frac{200}{3}\times {10}^{-12}\times 300=2\times {10}^{-8}}$ C,

the potential difference across C₄ = ${\displaystyle \frac{200\times {10}^{-12}\times 300}{3\times 100\times {10}^{-12}}}$ = 200 V

potential difference across C₁ = 300 - 200 = 100 V

charge on C₁ = 100 × 10^-12 × 100 = 1 × 10^-8 C

potential difference across C₂ and C₃ series combination = 100 V

potential difference across C₂ and C₃ each = 50 V

charge on C₂ and C₃ each = 200 × 10^-12 × 50 = 1 × 10^-8 C