Question

What is the equivalent capacitance of \[n\] identical capacitors, each with capacitance \[C\], connected in series?

Options

• \[C_S=\frac{n}{C}\]

• \[C_S=\frac{C}{n}\]

• \[C_S=C+n\]

• \[C_S=nC\]

Answer 1

For identical capacitors in series, the reciprocals add to \[n/C\]. Taking the reciprocal gives the equivalent capacitance \[C/n\].