Question

What is equivalent capacitance of the circuit between points A and B? 

• A. \(\dfrac{2}{3}\,\mu\text{F}\)
• B. \(\dfrac{4}{3}\,\mu\text{F}\)
• C. Infinite
• D. (1+√(3))μF

Hint:

Infinite capacitor ladders can be solved using self-consistency.

Answer 1

The Correct Option is B

Step 1: Each vertical column acts as parallel combination.
Step 2: The infinite ladder reduces to a finite equivalent by symmetry.
Step 3: Solving recursively gives Cₑq=(4)/(3)μF