*Question E7C01:
How are the capacitors and inductors of a low-pass filter Pi-network arranged between the network’s input and output?*  

*Correct Answer is  D: A capacitor is connected between the input and ground, another capacitor is connected between the output and ground, and an inductor is connected between the input and output*  

### AI Response: (may contain errors)  

In a low-pass filter Pi-network, the components are arranged to allow low-frequency signals to pass while attenuating high-frequency signals. The correct configuration for this type of filter is:

- **Correct Answer (D):** A capacitor is connected between the input and ground, another capacitor is connected between the output and ground, and an inductor is connected between the input and output.

### Explanation:

1. **Why the Correct Answer is Correct:**
   - **Capacitors to Ground:** The capacitors connected to ground at both the input and output help to shunt high-frequency signals to ground, effectively blocking them from passing through the filter.
   - **Inductor in Series:** The inductor between the input and output allows low-frequency signals to pass while presenting a high impedance to high-frequency signals, further attenuating them.

2. **Why the Other Choices are Incorrect:**
   - **Choice A:** Two inductors in series would not effectively block high-frequency signals, as inductors allow low frequencies to pass but do not shunt high frequencies to ground.
   - **Choice B:** Two capacitors in series would block DC and low-frequency signals, which is not the desired effect for a low-pass filter.
   - **Choice C:** This configuration resembles a high-pass filter, where the inductor to ground would allow high frequencies to pass and block low frequencies.

### Useful Concepts:

- **Low-Pass Filter:** Designed to pass signals with a frequency lower than a certain cutoff frequency and attenuate signals with frequencies higher than the cutoff frequency.
- **Pi-Network Configuration:** Named for its resemblance to the Greek letter π, this configuration is effective for impedance matching and filtering in RF applications.

By understanding the role of each component in the Pi-network, you can see why the correct configuration effectively filters out high-frequency signals while allowing low-frequency signals to pass.