question_answer

All capacitors used in the diagram are identical and each is of capacitance C. Then the effective capacitance between the point A and B is

A)  1.5 C            

B) 6 C

C) C              

D)  3 C

Correct Answer: A

Solution :

The equivalent diagram of the given circuit is \[{{C}_{1}},{{C}_{2}}\]and \[{{C}_{3}}\] are in parallel \[\therefore \] \[{{C}_{123}}={{C}_{1}}+{{C}_{2}}+{{C}_{3}}\] \[=C+C+C=3C\] Similarly,  \[{{C}_{456}}=3C\]\[{{C}_{123}}\]and \[{{C}_{456}}\]are in series \[\therefore \]\[{{C}_{eq}}=\frac{(3C)(3C)}{3C+3C}=1.5C\]