Question

Find $C_{AB}$ if each capacitor is C in the figure shown :

• A. 3C
• B. 2C
• C. C
• D. C/2

Answer 1

The correct option is C C

The equivalent circuit is shown in figure below.
$C_{eq1}=\frac{CC}{C+C}=C/2$ and $C_{eq2}=C/2+C+C/2=2C$
Thus, $C_{AB}=\frac{2C2C}{2C+2C}=C$