Find the capacitance between points A and B of a circuit constructed with five capacitors. Point A is connected to a 1 F capacitor and a 2 F capacitor. The other terminal of the 1 F capacitor is connected to a node C , and the other terminal of the 2 F capacitor is connected to a node D . A 3 F capacitor connects node C to point B , and a 6 F capacitor connects node D to point B . A 5 F capacitor is placed between no

Step-by-step solution

The given circuit forms a Wheatstone bridge with the following capacitors: C₁ = 1 F (between A and C) C₂ = 2 F (between A and D) C₃ = 3 F (between C and B) C₄ = 6 F (between D and B) C₅ = 5 F (between C and D) Checking the balance condition for the Wheatstone bridge: C₁ C₂ = 1 2 C₃ C₄ = 3 6 = 1 2 Since C₁ C₂ = C₃ C₄ , the bridge is balanced. Therefore, the potential at node C is equal to the potential at node D ( V_C = V_D ). No charge will flow through the 5 F capacitor, and it can be removed from the circuit. The