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Consider an infinite matrix of capacitor...

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

A

`C`

B

`2C`

C

`oo`

D

can't be determined.

Text Solution

Verified by Experts

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`
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