**Problem**

Consider two capacitors with different capacitance and . The formula for calculating the stored charge across a capacitor is .

**Part 1:** Determine the equivalent capacitance when the two capacitors are connected in series.

**Part 2:** Determine the equivalent capacitance when the two capacitors are connected in parallel.

**Solution**

**Part 1: Capacitors connected in series (same charge, different voltage)**

When two capacitors are connected in series, the stored charge across each capacitor is the same, and the voltage of each capacitor is inversely-proportional to their respective capacitance.

Since ,

- .

Therefore,

- .

In general, given capacitors added in series

**Part 2: Capacitors connected in parallel (same voltage, different charge)**

When two capacitors are connected in parallel, the voltage across each capacitor is the same, and the stored charge of each capacitor is proportional to their respective capacitance.

Since ,

- .

Therefore,

- .

In general, given capacitors added in parallel

- .