*Question G8B10:
What is the relationship between transmitted symbol rate and bandwidth?*  

*Correct Answer is  B: Higher symbol rates require wider bandwidth*  

### AI Response: (may contain errors)  

The correct answer is **B: Higher symbol rates require wider bandwidth**. 

### Explanation of the Correct Answer:
- **Symbol Rate and Bandwidth Relationship**: The symbol rate (also known as baud rate) is the number of symbols transmitted per second. Each symbol can represent one or more bits of information. 
- According to the Nyquist theorem, the minimum bandwidth required to transmit a signal without intersymbol interference is directly related to the symbol rate. Specifically, for a given modulation scheme, the bandwidth required is at least equal to the symbol rate. 
- Therefore, as the symbol rate increases, the bandwidth must also increase to accommodate the additional symbols being transmitted.

### Why the Other Choices are Incorrect:
- **A: Symbol rate and bandwidth are not related**: This is incorrect because there is a well-established relationship between symbol rate and bandwidth, as explained above.
  
- **C: Lower symbol rates require wider bandwidth**: This is also incorrect. Lower symbol rates actually require less bandwidth. As the symbol rate decreases, the bandwidth needed to transmit the signal without distortion decreases as well.

- **D: Bandwidth is half the symbol rate**: This statement is misleading. While there are specific cases (like certain modulation schemes) where bandwidth can be a fraction of the symbol rate, it is not a general rule. The bandwidth required is typically at least equal to the symbol rate, and in many cases, it can be greater depending on the modulation and encoding used.

### Useful Formulas and Rules of Thumb:
- **Nyquist Formula**: The minimum bandwidth ($B$) required for a given symbol rate ($R_s$) can be expressed as:
  $$B \geq R_s$$
- For practical applications, especially with complex modulation schemes, the required bandwidth may be greater than the symbol rate due to factors like filtering and modulation techniques.

This understanding is crucial for optimizing communication systems and ensuring effective data transmission.