A carrier wave of frequency 1.5 MHz and amplitude 50 V is modulated by a sinusoidal wave of frequency 10KHz producing 50% amplitude modulation. Calculate the amplitude of the AM wave and frequencies of the side bands produced.

Explanation

To solve the problem, we need to calculate the amplitude of the amplitude-modulated (AM) wave and the frequencies of the sidebands produced. Here’s a step-by-step breakdown of the solution:

### Step 1: Identify the given values
- Frequency of the carrier wave, \( f_c = 1.5 \, \text{MHz} = 1.5 \times 10^6 \, \text{Hz} \)
- Amplitude of the carrier wave, \( E_{\text{max}} = 50 \, \text{V} \)
- Frequency of the modulating wave, \( f_m = 10 \, \text{kHz} = 10 \times 10^3 \, \text{Hz} \)
- Amplitude modulation percentage, \( M_A = 50\% = 0.5 \)

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