Consider an infinite matrix of capacitors as shown in the figure.
The effective capacitance between point `A` and `B` will be

Options

A. `C`
B. `2C`
C. `oo`
D. can't be determined.

Explanation

For now `1 : (1)/(C_(eff))=(1)/(C )+(1)/(2C)+(1)/(4C)+……=(2)/(C )`
`rArrC_(eff)=C//2`
Similarly for row `2 : C_(eff)=C//4`
`rArrC_(eff_("net"))=(C )/(2)+(C )/(4)+(C )/(8)+…..=C`