Two capacitors have a capacitance of $5 \mu \mathrm{~F}$ when connected in parallel and $1.2 \mu \ma

Question

Two capacitors have a capacitance of $5 \mu \mathrm{~F}$ when connected in parallel and $1.2 \mu \mathrm{~F}$ when connected in series. Then the capacitances are

Professor PC Thomas Classes · Answer

$C_1+C_2=5$ and $\frac{C_1C_2}{C_1+C_2}=1.2 \Rightarrow C_1C_2=6$. Solving gives $2 \mu\mathrm{F}$ and $3 \mu\mathrm{F}$.