Concepts Of Physics MCQ Edition [Volume 2]PhysicsCapacitors
Determine the equivalent capacitance between the terminals A and B for the capacitor network illustrated in the diagram.
Options
- A1 F
- B2 F
- C1.5 F
- D0.5 F
Correct answer
A. 1 F
Step-by-step solution
Starting from the left end of the given capacitor network, the leftmost vertical capacitor ( 2 F ) and the adjacent horizontal capacitor ( 2 F ) are connected in series. Their equivalent capacitance is: C₁ = 2 2 2 + 2 = 1 F This equivalent capacitor C₁ is in parallel with the first vertical 1 F capacitor. Their equivalent capacitance is: C₂ = 1 + 1 = 2 F Now, C₂ is in series with the next horizontal 2 F capacitor. Their equivalent capacitance is: C₃ = 2 2 2 + 2 = 1 F This equivalent capacitor C₃ is in parallel with