Three capacitors of capacitances 2 pF, 3 pF and 4 pF are connected in parallel. (a) What is the total capacitance of the combination? (b) Determine the charge on each capacitor if the combination is connected to a 100 V supply.

If the capacitors are connected in parallel, then the equivalent capacitance of capacitors is given by Ceq = C₁ + C₂ + C₃ + .......Here , C₁ = 2pF, C₂ = 3pF and C₃ = 4pFso, Ceq = C₁ + C₂ + C₃Ceq = 2pF + 3pF + 4pF= 9pF(b) since the capacitors are in parallel, so the potential difference across each of them is same. e.g., V₁ = V₂ = V₃ = V = 100VSo, charge stored on capacitors areQ₁ = C₁V = 2pF × 100V = 200pCQ₂ = C₂V = 3pF × 100V = 300pCQ₃ = C₃V = 4pF × 100 = 400pCIf the capacitors are connected in parallel then equivalent capacitance of capacitors is given by Ceq = C₁ + C₂ + C₃ + .......Here , C₁ = 2pF, C₂ = 3pF and C₃ = 4pFso, Ceq = C₁ + C₂ + C₃Ceq = 2pF + 3pF + 4pF= 9pF(b) since the capacitors are in parallel, so the potential difference across each of them is same. e.g., V₁ = V₂ = V₃ = V = 100VSo, charge stored on capacitors areQ₁ = C₁V = 2pF × 100V = 200pCQ₂ = C₂V = 3pF × 100V = 300pCQ₃ = C₃V = 4pF × 100 = 400pC read less

f the capacitors are connected in parallel, then the equivalent capacitance of capacitors is given by Ceq = C₁ + C₂ + C₃ Here , C₁ = 2pF, C₂ = 3pF and C₃ = 4pFso, Ceq = C₁ + C₂ + C₃Ceq = 2pF + 3pF + 4pF= 9pF b) since the capacitors are in parallel, so the potential difference across each of them is the same. e.g., V₁ = V₂ = V₃ = V = 100V So, charge stored on capacitors areQ₁ = C₁V = 2pF × 100V = 200pCQ₂ = C₂V = 3pF × 100V = 300pCQ₃ = C₃V = 4pF × 100 = 400pC read less