Combination Of Capacitors

An infinite number of capacitors

2%5C%2C%20%5Cmu%20F%20%2C%5C%2C%204%5C%2C%20%5Cmu%20F

8%20%5Cmu%20F%20%2C%5C%2C%2016%20%5Cmu%20F%20%2C%20%5Cldots%20%5Cldots%20%5Cldots%20.%20.

are connected in series.
As we know,

%5Cfrac%7B1%7D%7BC_%7B%5Ctext%20%7Bseries%20%7D%7D%7D%3D%5Cfrac%7B1%7D%7BC_%7B1%7D%7D%2B%5Cfrac%7B1%7D%7BC_%7B2%7D%7D%2B%5Cldots%20%5Cldots%20.%20.

C_%7B%5Ctext%20%7Bseries%20%7D%7D%3D%5Cfrac%7BC_%7B1%7D%20C_%7B2%7D%20C_%7B3%7D%20%5Cldots%20%5Cldots%20.%20%5Cinfty%7D%7BC_%7B1%7D%2BC_%7B2%7D%2BC_%7B3%7D%2B%5Cldots%20%5Cldots%20%5Cldots%20%5Cinfty%7D

Equivalent capacitance of the system

%3D1%5C%2C%20%5Cmu%20F

Chapter Questions
1 MCQs