Question:
What is equivalent capacitance of the circuit between points A and B?
What is equivalent capacitance of the circuit between points A and B?
Show Hint
For infinite capacitor ladders, use self-similarity:
assume the remaining network has the same equivalent capacitance as the whole.
Updated On: May 2, 2026
- (2)/(3)μF
- (4)/(3)μF
- Infinite
- (1+√(3))μF
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The Correct Option is D
Solution and Explanation
Step 1: The given network is an infinite ladder of capacitors with repeating sections.
Step 2: Let the equivalent capacitance between A and B be C.
Step 3: Due to self-similarity, removing the first section leaves the same equivalent capacitance C.
Step 4: Writing the equivalent capacitance equation and solving the resulting quadratic gives: C = (1+√(3))μF
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