Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

The effective capacitance between point A and B of the combination of capacitors in an infinite ladder network given below is 

Options:

2C 

C

$\frac{C}{2}$

3C

Correct Answer:

2C 

Explanation:

$\text{Let equivalent capacitance of the combination is }C_{eq}$

$ \frac{2C.C_{eq}}{2C + C_{eq}} + C = C_{eq}$

$ 3C.C_{eq} + 2C^2 = 2C C_{eq}+C_{eq}^2$

$ C_{eq}^2 - C.C_{eq} - 2C^2 = 0$

$ C_{eq} = 2C$