In the following circuit, the resultant capacitance between `A` and `B` is `1muF`. Then value of `C` is

Options

A. `32/11muF`
B. `11/32muF`
C. `23/32muF`
D. `32/23muF`

Answer

D

Explanation

From figure, equivalent capacitance of `6muF, 12muF and 4muF` condensers is, `C_(1)=8muF`.
Similarly equivalent capacitance of `8muF, 2muF and 2muF` condensers is, `C_(2)=8//3muF`.
The equivalent capacitance of `8muF and 1muF` condensers is, `C_(3)=8//9muF`.
The equivalent of `C_(2) and C_(3)` is, `32//9muF`.
Now, equivalent of C and `32//9muF` condenser is `1muF`.
Thus, `C=32//23muF`.