question_answer

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

A)  3.75\[\mu F\]                  

B)  5.25\[\mu F\]

C)  6.5\[\mu F\]                     

D)  10.5\[\mu F\]

Correct Answer: A

Solution :

                The circuit can be simplified as shown. It is a balanced Wheatstone bridge. \[\Rightarrow \]               \[{{C}_{AB}}=\frac{5\times 3}{5+3}+\frac{5\times 3}{5+3}\] \[\Rightarrow \]               \[{{C}_{AB}}=2\times \frac{15}{8}=\frac{30}{8}=3.75\,\mu F\]