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A 10 kW carrier is sinusoidally modulated by two carriers corresponding to a modulation index of 30% and 40% respectively. The total radiated power(is
- a)11.25 kW
- b)12.5 kW
- c)15 kW
- d)17 kW
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A 10 kW carrier is sinusoidally modulated by two carriers correspondin...
The required answer is 1 (1 + 0.42 + 0.32) or 11.25 kW.
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A 10 kW carrier is sinusoidally modulated by two carriers correspondin...
Total Radiated Power Calculation:
Given:
Carrier power (Pc) = 10 kW
Modulation indices (m1, m2) = 30%, 40% respectively
To calculate the total radiated power, we need to consider the power in the carrier and the power in the sidebands.
Power in the carrier:
The power in the carrier is equal to the carrier power itself, which is 10 kW.
Power in the sidebands:
The power in the sidebands can be calculated using the formula:
Psb = (1/2) * (m^2) * Pc
Where,
Psb = Power in the sidebands
m = Modulation index
Pc = Carrier power
For the first carrier with a modulation index of 30%:
Psb1 = (1/2) * (0.3^2) * 10 kW = 0.45 kW
For the second carrier with a modulation index of 40%:
Psb2 = (1/2) * (0.4^2) * 10 kW = 0.8 kW
Total power in the sidebands:
Psb = Psb1 + Psb2 = 0.45 kW + 0.8 kW = 1.25 kW
Total radiated power:
The total radiated power is the sum of the power in the carrier and the power in the sidebands.
Total Power = Power in the carrier + Power in the sidebands
Total Power = 10 kW + 1.25 kW = 11.25 kW
Therefore, the correct answer is option 'A' - 11.25 kW.
Given:
Carrier power (Pc) = 10 kW
Modulation indices (m1, m2) = 30%, 40% respectively
To calculate the total radiated power, we need to consider the power in the carrier and the power in the sidebands.
Power in the carrier:
The power in the carrier is equal to the carrier power itself, which is 10 kW.
Power in the sidebands:
The power in the sidebands can be calculated using the formula:
Psb = (1/2) * (m^2) * Pc
Where,
Psb = Power in the sidebands
m = Modulation index
Pc = Carrier power
For the first carrier with a modulation index of 30%:
Psb1 = (1/2) * (0.3^2) * 10 kW = 0.45 kW
For the second carrier with a modulation index of 40%:
Psb2 = (1/2) * (0.4^2) * 10 kW = 0.8 kW
Total power in the sidebands:
Psb = Psb1 + Psb2 = 0.45 kW + 0.8 kW = 1.25 kW
Total radiated power:
The total radiated power is the sum of the power in the carrier and the power in the sidebands.
Total Power = Power in the carrier + Power in the sidebands
Total Power = 10 kW + 1.25 kW = 11.25 kW
Therefore, the correct answer is option 'A' - 11.25 kW.
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Community Answer
A 10 kW carrier is sinusoidally modulated by two carriers correspondin...
11.25
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A 10 kW carrier is sinusoidally modulated by two carriers corresponding to a modulation index of 30% and 40% respectively. The total radiated power(isa)11.25 kWb)12.5 kWc)15 kWd)17 kWCorrect answer is option 'A'. Can you explain this answer?
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