Question

What is the effective capacitance between points $X$ and $Y?$

• A. $12\mu F$
• B. $18\mu F$
• C. $24\mu F$
• D. $6\mu F$

Answer 1

The correct option is D $6\mu F$

The following circuit can be redrawn as

Since the capacitors are behaving as passive element
Hence we can say that they are forming wheatstone bridge
Now we can say that we can eleminate $20\mu F$ capacitor as no current will flow through that branch.
Now
$C_{eq}=\frac{C_1{C}_2}{C_1+C_2}+\frac{C_3{C}_4}{C_3+C_4}\Rightarrow C_{eq}=\frac{6\times 6}{6+6}+\frac{6\times 6}{6+6}=6\mu F$