Two capacitors of values $6.0 \mathrm{mF}$ and $9.0 \mathrm{mF}$ are connected in series. What is the capacitance of the combination?
A) $3.0 \mathrm{mF}$
B) $15 \mathrm{mF}$
C) $3.6 \mathrm{mF}$
D) $7.5 \mathrm{mF}$
E) $54 \mathrm{mF}$

Question

Quizplus · Accepted Answer

The formula for capacitors in series is $ \frac{1}{C_{\text{total}}} = \frac{1}{C_1} + \frac{1}{C_2} $. Plugging in the values, $ \frac{1}{C_{\text{total}}} = \frac{1}{6} + \frac{1}{9} = \frac{5}{18} $, so $ C_{\text{total}} = \frac{18}{5} = 3.6 \mathrm{mF} $.

Two Capacitors of Values 6.0mF6.0 \mathrm{mF}6.0mF And 9.0mF9.0 \mathrm{mF}9.0mF Are Connected in Series

Two Capacitors of Values $6.0 \mathrm{mF}$ And $9.0 \mathrm{mF}$ Are Connected in Series