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A radio broadcasting transmitter delivers a total radiated power of 12 kW at 50% modulation. The power of the carrier wave without modulation is
- 5.67 kW
- 7.15 kW
- 9.6 kW
- 12 kW
Correct answer: 9.6 kW
Solution
The total radiated power in amplitude modulation is the sum of the carrier power and the power of the sidebands. With 50% modulation, the carrier power can be calculated using the formula: Carrier Power = Total Power / (1 + (modulation index)²/2). Here, the modulation index is 0.5, leading to a carrier power of 9.6 kW.
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