Five capacitors each of `10muF` capacitance are connected as shown to a source of e.m.f. The equivalent capacitance between point A and B is

Options

A. `40muF`
B. `30muF`
C. `20muF`
D. `10muF`

Answer

D

Explanation

The given circuit is Wheatstone's bridge of condensers. The bridge is balanced. Thus, effective capacitance between path ACB is,
`C_(s1)=(C C)/(C+C)=C/2`
Similarly effective capacitance between path ADB is,
`C_(s2)=(C C)/(C+C)=C/2`
Now, `C_(s1) and C_(s2)` are in parallel.
Therefore, `C_(p)=C//2+C//2=C=10muF`