*Question G5C13:
Which of the following components should be added to a capacitor to increase the capacitance?*  

*Correct Answer is  C: A capacitor in parallel*  

### AI Response: (may contain errors)  

To increase the capacitance of a capacitor, you should add another capacitor in parallel. Here's why:

1. **Correct Answer: A capacitor in parallel**  
   - When capacitors are connected in parallel, their capacitances add up. The total capacitance $C_{\text{total}}$ is given by:  
     $$C_{\text{total}} = C_1 + C_2 + \ldots + C_n$$  
   - This means that adding a capacitor in parallel increases the overall capacitance.

2. **Why the other choices are incorrect:**
   - **A: An inductor in series**  
     - Inductors do not affect capacitance directly. Instead, they introduce inductance, which is a different property altogether.
   - **B: An inductor in parallel**  
     - Similar to the series case, an inductor in parallel affects the inductance, not the capacitance.
   - **D: A capacitor in series**  
     - When capacitors are connected in series, the total capacitance decreases. The formula for capacitors in series is:  
       $$\frac{1}{C_{\text{total}}} = \frac{1}{C_1} + \frac{1}{C_2} + \ldots + \frac{1}{C_n}$$  
     - This results in a lower total capacitance than any individual capacitor in the series.

By understanding these principles, you can see why adding a capacitor in parallel is the correct choice to increase capacitance.