question_answer

    In the figure, the equivalent capacitance between A and B is

A)  \[3.75\text{ }\mu F\]                    

B)  \[5.25\text{ }\mu F\]

C)  \[6.5\text{ }\mu F\]                      

D)  \[10.5\text{ }\mu F\]

Correct Answer: A

Solution :

                It is a balance Wheatstone bridge \[\therefore \]  \[{{C}_{AB}}=\frac{5\times 3}{5+3}+\frac{5\times 3}{5+3}\] \[\Rightarrow \]               \[{{C}_{AB}}=2\times \frac{15}{8}=\frac{15}{4}=3.75\,\mu F\]