# RF carrier 10 kV at 1 MHz is amplitude modulated and the modulation index is 0.6. Peak voltage of the signal is:

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RF carrier 10 kV at 1 MHz is amplitude modulated and the modulation index is 0.6. Peak voltage of the signal is:

1. 600 kV
2. 1200 kV
3. 6 kV
4. 10 kV

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Correct Answer - Option 3 : 6 kV

Concept:

• Modulation is the process of changing the parameters of the carrier signal, in accordance with the instantaneous values of the modulating signal.
• The message carrying signal has to get transmitted over a distance and for it to establish reliable communication.
• In modulation, we take the help of a high-frequency signal which should not affect the original characteristics of the message signal.

• Antenna size gets reduced.
• Communication range increases.
• No signal mixing occurs.

m= Modulation index

The modulation index is the ratio of the voltage of the message signal to the voltage of the carrier signal.

${m_a} = \frac{{{V_m}}}{{Vc}}$

Where

V= Peak voltage of message signal

Vc = Voltage of carrier signal

Explanation:

Given

ma = 0.6

Vc =  10 kV

${m_a} = \frac{{{V_m}}}{{Vc}}$

Vm = ma V

Vm = 0.6 × 10 × 103

Vm = 6 kV