*Question E7D14:
What is the purpose of connecting equal-value resistors across power supply filter capacitors connected in series?*  

*Correct Answer is  D: All these choices are correct*  

### AI Response: (may contain errors)  

When power supply filter capacitors are connected in series, connecting equal-value resistors across each capacitor serves multiple purposes. Let's break down why each choice is correct:

### Explanation:

1. **Equalize the voltage across each capacitor (Choice A):**  
   - When capacitors are in series, the voltage across each capacitor can vary due to differences in capacitance or leakage current. By connecting equal-value resistors across each capacitor, you create a voltage divider that helps ensure the voltage is evenly distributed across all capacitors. This prevents any single capacitor from being over-volted, which could lead to failure.

2. **Discharge the capacitors when voltage is removed (Choice B):**  
   - The resistors provide a path for the stored charge in the capacitors to discharge safely when the power is turned off. This is important for safety reasons, as it prevents the capacitors from holding a dangerous charge.

3. **Provide a minimum load on the supply (Choice C):**  
   - The resistors also act as a minimum load on the power supply. This can help stabilize the power supply's output voltage by ensuring there is always some current draw, even when the main load is disconnected.

### Why the Correct Answer is "All these choices are correct" (Choice D):

- Each of the individual choices (A, B, and C) describes a valid and important function of the resistors connected across series capacitors. Therefore, the correct answer is that all these choices are correct.

### Why None of the Choices are Incorrect:

- Each choice describes a legitimate reason for using equal-value resistors in this configuration. There are no incorrect choices in this context, as each serves a specific purpose that contributes to the overall functionality and safety of the circuit.

### Useful Formula:

- **Voltage Divider Rule:**  
  When resistors are used to equalize voltage across capacitors, the voltage across each capacitor can be calculated using the voltage divider rule:
  $$ V_i = \frac{R_i}{R_{\text{total}}} \times V_{\text{total}} $$
  where:
  - $V_i$ is the voltage across the $i$-th capacitor.
  - $R_i$ is the resistance across the $i$-th capacitor.
  - $R_{\text{total}}$ is the total resistance of all resistors in series.
  - $V_{\text{total}}$ is the total voltage across the series capacitors.

This explanation should help you understand why connecting equal-value resistors across power supply filter capacitors in series is beneficial and why all the choices are correct.