In the given network ,the value of C ,so that an equivalent capacitance between A and B is 3 `muF`,is

Options

A. `(1)/(5)muF`
B. `(31)/(5)muF`
C. `48muF`
D. `36muF`

Answer

C

Explanation

The equivalent capacitance between A and B is `(1)/(C_(AB))=(1)/(C )+(1)/((16)/(5))`
`(1)/(C )=(1)/(C_(AB))-(5)/(16)=(1)/(3)-(5)/(16)=(16-15)/(48)=(1)/(48)`
`C=48muF`