The Capacitor Series Shortcut!

Struggling with capacitors in series? Want a faster way than calculating reciprocals? Here's a trick to find the equivalent capacitance quickly!

Subject: electricity • Classes: 6–12 • Difficulty: intermediate (9-10)

The Trick

For only *two* capacitors in series, you can use a shortcut formula similar to parallel resistors! The equivalent capacitance, $C_{eq}$, is given by: $C_{eq} = \frac{C_1 C_2}{C_1 + C_2}$. This works because the reciprocal of the equivalent capacitance is the sum of the reciprocals of the individual capacitances: $\frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2}$. Combining the fractions on the right-hand side yields the shortcut.

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