The modulation index `mu` in Amplitude modulating, value is

Options

A. `mu lt 1`
B. `mu gt 1`
C. `mu ge 1`
D. `mu le 1`

Answer

To determine the modulation index \( \mu \) in amplitude modulation, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Modulation Index**:
The modulation index \( \mu \) in amplitude modulation is defined as the ratio of the amplitude of the modulating signal (message wave) to the amplitude of the carrier wave. Mathematically, it is expressed as:
\[ \mu = \frac{A_m}{A_c} \]
where \( A_m \) is the amplitude of the message signal and \( A_c \) is the amplitude of the carrier wave.

2. **Analyze the Values of Amplitudes**:
In amplitude modulation, the amplitude of the message signal \( A_m \) must always be less than the amplitude of the carrier wave \( A_c \) to avoid distortion in the transmitted signal. This means:
\[ A_m < A_c \]

3. **Conclude the Modulation Index**:
Since \( A_m \) is always less than \( A_c \), it follows that the modulation index \( \mu \) will always be less than 1:
\[ \mu < 1 \]

4. **Identify the Correct Option**:
Based on the above analysis, if the question is a multiple-choice question (MCQ) with options provided, the correct option regarding the value of the modulation index \( \mu \) in amplitude modulation would be the one stating that \( \mu < 1 \).

### Final Answer:
The modulation index \( \mu \) in amplitude modulation is always less than 1.

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