*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. 

### Correct Answer: C - A capacitor in parallel

- **Explanation**: When capacitors are connected in parallel, the total capacitance ($C_{total}$) is the sum of the individual capacitances. This can be expressed as:
  
  $$
  C_{total} = C_1 + C_2 + C_3 + \ldots
  $$

  This means that adding more capacitance increases the overall capacitance of the circuit.

### Why the other choices are incorrect:

- **A: An inductor in series**  
  - **Explanation**: Adding an inductor in series with a capacitor does not increase capacitance. Instead, it can create a resonant circuit, which may affect the overall impedance but does not change the capacitance value.

- **B: An inductor in parallel**  
  - **Explanation**: Similar to the series case, adding an inductor in parallel does not increase capacitance. It can affect the circuit's behavior at certain frequencies but does not contribute to the total capacitance.

- **D: A capacitor in series**  
  - **Explanation**: When capacitors are connected in series, the total capacitance decreases. The formula for total capacitance in series is:

  $$
  \frac{1}{C_{total}} = \frac{1}{C_1} + \frac{1}{C_2} + \ldots
  $$

  This means that adding capacitors in series results in a lower total capacitance than any individual capacitor.

### Summary:
- To increase capacitance, use capacitors in parallel.
- Series connections decrease total capacitance, while inductors do not contribute to capacitance increase.