An audio signal of amplitude one half the carrier amplitude is used in amplitude modulation.Calculate the modulation index?

Explanation

To calculate the modulation index for an audio signal used in amplitude modulation, we can follow these steps:

### Step 1: Understand the given information
We are given that the amplitude of the audio signal (modulating signal) is half the amplitude of the carrier signal. Let's denote:
- \( E_C \) = Amplitude of the carrier signal
- \( E_M \) = Amplitude of the modulating signal

From the problem, we have:
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