Question

Find the equivalent capacitance across $A$ and $B$.

• A. $\frac{28}{3} \mu F$
• B. $\frac{15}{2} \mu F$
• C. $15 \,\mu F$
• D. None

Answer 1

Answer: (B)

Circuit can be redrawn as:

Now, $V_{x}=V_{y}$
Hence, $\frac{35\, \mu F }{10\, \mu F }=\frac{7\, \mu F }{2\, \mu F }$
$C_{e q}=\left(\frac{7 \times 35}{7+35}\right)+\left(\frac{10 \times 2}{10+2}\right)$
$=\frac{35}{6}+\frac{10}{6}=\frac{45}{6}$
$C_{e q}=\frac{15}{2} \mu F$