Answer to Question #312976 in Electric Circuits for BxJ

Question

You have five(5) 10.0 Farad capacitors. Find the total capacitance if the capacitors are connected in series.

Answer 1

Assume

$$C_1=C_2=C_3=C_4=C_5=10F$$

Total capacitance

$\frac{1}{C_t}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}+\frac{1}{C_4}+\frac{1}{C_5}$

$\frac{1}{C_t}=\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}$

$\frac{1}{C_t}=\frac{5}{10}$

$C_{net}=2F$