What is the modulation index of an over modulated wave

Options

A. 1
B. zero
C. `lt1`
D. `gt1`

Explanation

To determine the modulation index of an overmodulated wave, we can follow these steps:

### Step 1: Understand the Modulation Index
The modulation index (μ) is defined as the ratio of the amplitude of the message signal (Am) to the amplitude of the carrier signal (Ac). Mathematically, it can be expressed as:
\[ \mu = \frac{A_m}{A_c} \]

### Step 2: Identify Overmodulation
In the context of modulation, "overmodulation" occurs when the amplitude of the message signal (Am) exceeds the amplitude of the carrier signal (Ac). This means:
\[ A_m > A_c \]

### Step 3: Analyze the Modulation Index in Overmodulation
Since Am is greater than Ac in an overmodulated wave, we can conclude that:
\[ \mu = \frac{A_m}{A_c} > 1 \]
This indicates that the modulation index for an overmodulated wave is greater than 1.

### Step 4: Conclusion
Therefore, the modulation index of an overmodulated wave is greater than 1.

### Final Answer
The modulation index of an overmodulated wave is greater than 1.

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