question_answer

Six equal capacitors, each of capacitance C are connected as shown in the figure. Then, the equivalent capacitance between A and B is

A)  6C                                         

B)  C

C)  2C                                         

D)  \[\frac{C}{2}\]

Correct Answer: C

Solution :

 The given network of capacitors can be redrawn as given ahead \[\frac{1}{{{k}_{s}}}=\frac{1}{k}\,\left( 1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+... \right)\] is in parallel to a balanced Wheatstone bridge made from the rest five capacitors as shown in the figure. Therefore, equivalent capacitance\[\Rightarrow \].