question_answer

In the circuit as shown in the figure, the effective capacitance between A and B is:

A)  \[2~\mu F\]                                      

B)  \[2~\mu F\]

C)  \[8~\mu F\]                                      

D)  \[4~\mu F\]

Correct Answer: D

Solution :

From figure, the effective capacitance of \[{{C}_{1}},{{C}_{2}}\] and \[{{C}_{3}}\] is given by \[\frac{1}{C}=\frac{1}{4}+\frac{1}{2+2}=\frac{1}{2}\Rightarrow C=2\mu F\]                 Effective capacitance of \[{{C}_{4}}\] and \[\frac{12}{C}=\frac{1}{4}+\frac{1}{4}=\frac{1}{2}\]                          or            \[C=2\mu F\] Now effective capacitance between A and B                 \[C=C+C\]                 \[C=(2+2)\mu F=4\mu F\]