Question

Given that C₁=10.0F, C₂=5.0F, and C3=4.0F, find the total capacitance for each connection shown.

Answer 1

Parrallel combination

$$C_{eq}=C_1+C_2+C_3=(10+5+4)\mu F=19\mu F$$

Series combination

$\frac{1}{C_{eq}}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}$

$\frac{1}{C_{eq}}=\frac{1}{10}+\frac{1}{5}+\frac{1}{4}=\frac{10+20+25}{100}$

$C_{eq}=\frac{100}{55} \mu F$

$C_{eq}=1.81\mu F$