question_answer

What is equivalent capacitance of the network? Each capacitor has \[1\,\mu F\] capacitance

A)  \[\frac{1}{3}\,\mu F\]           

B)  \[2\,\mu F\]

C)  \[\frac{3}{2}\,\mu F\]         

D) \[3\,\mu F\]

Correct Answer: D

Solution :

 The given circuit can be rearranged as follows, it consists of three capacitors connected in parallel, hence equivalent resistance of the combination is \[C'={{C}_{1}}+{{C}_{2}}+{{C}_{3}}\].  Given,             \[C'=1+1+1=3\,\,\mu F\]