Question

Find the equivalent capacitance of three capacitors of capacitance $3\mu F$, $10\mu F$ and $15\mu F$ connected in (1) series (2) parallel.

Answer 1

$\left(1\right)$ In series combination-

$\frac{1}{C}=\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}$

$\frac{1}{C}=\frac{1}{3}+\frac{1}{10}+\frac{1}{15}$

$⟹C=2\mu F$

$\left(2\right)$ In parallel combination-

$C=C_1+C_2+C_3$

$⟹C=3+10+15$

$⟹C=28\mu F$