Question

In the circuit given below, the equivalent capacitance is _________________

(a) 1.6 F

(b) 3.1 F

(c) 0.5 F

(d) 4.6 F

I had been asked this question during an interview.

Question is taken from Advanced Problems Involving Complex Circuit Diagram in portion Network Theory and Complex Circuit Diagram of Network Theory

Answer 1

The correct answer is (b) 3.1 F

To elaborate: CCB = \(\left(\frac{C_2 C_3}{C_2+ C_3}\right)\) + C5 = 7.5 F

Now, CAB = \(\left(\frac{C_1 C_{CB}}{C_1 + C_{CB}}\right)\) + C6 = 8 F

CXY = \(\frac{C_{AB}  × C_4}{C_{AB} + C_4}\) = 3.1 F.