Concepts Of Physics MCQ Edition [Volume 2]PhysicsCapacitors
Determine the equivalent capacitance between the points a and b for the system presented in the figure.
Options
- AC₃ + C₁ C₂ 2(C₁ + C₂)
- BC₃ + 2(C₁ + C₂)
- CC₃ + C₁ C₂ C₁ + C₂
- DC₃ + 2 C₁ C₂ C₁ + C₂
Correct answer
D. C₃ + 2 C₁ C₂ C₁ + C₂
Step-by-step solution
The given circuit can be simplified by identifying the parallel and series combinations of the capacitors. The circuit consists of three parallel branches connected across the terminals a and b : 1. The upper branch has capacitors C₁ and C₂ connected in series. The equivalent capacitance of this branch is C_ upper = C₁ C₂ C₁ + C₂ . 2. The lower branch also has capacitors C₁ and C₂ connected in series. The equivalent capacitance of this branch is C_ lower = C₁ C₂ C₁ + C₂ . 3. The middle branch has a single capacitor