In A.M., the total modulation index should not exceed one or else:

Options

A. the system will fail
B. distortion will result
C. amplifier will be damaged
D. noen of the above.

Answer

### Step-by-Step Solution:

1. **Understanding Amplitude Modulation (AM)**:
- Amplitude Modulation is a technique used in electronic communication to transmit messages. It involves the superimposition of a modulating signal (the message) onto a carrier wave.

2. **Carrier Wave and Modulating Wave**:
- The carrier wave is a high-frequency signal that carries the information. The modulating wave is the lower frequency signal that contains the actual information to be transmitted.

3. **Modulation Index**:
- The modulation index (m) in AM is defined as the ratio of the amplitude of the modulating signal to the amplitude of the carrier signal. Mathematically, it is expressed as:
\[ m = \frac{A_m}{A_c} \]
where \(A_m\) is the amplitude of the modulating signal and \(A_c\) is the amplitude of the carrier signal.

4. **Condition for Modulation Index**:
- The total modulation index should not exceed 1 (i.e., \(m \leq 1\)). This ensures that the modulating signal can be accurately represented without distortion.

5. **Consequences of Exceeding the Modulation Index**:
- If the modulation index exceeds 1 (i.e., \(m > 1\)), the following occurs:
- **Distortion**: The modulated signal will become distorted, which means that the original message cannot be accurately retrieved.
- **Phase Reversal**: The carrier wave may exhibit phase reversal, leading to further complications in signal interpretation.

6. **Conclusion**:
- Therefore, it is crucial to maintain the modulation index at or below 1 to ensure clear and undistorted transmission of the message in amplitude modulation.