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A transmission line is feeding 1 Watt of power to a horn antenna having a gain of 10 dB. The antenna is matched to the transmission line. The total power (in Watt) radiated by the horn antenna into the free space is (Answer up to the nearest integer)
Correct answer is '10'. Can you explain this answer?
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A transmission line is feeding 1 Watt of power to a horn antenna havi...
The power radiated by an antenna can be calculated using the antenna gain and the power delivered to the antenna. In this case, we are given that a transmission line is feeding 1 Watt of power to a horn antenna with a gain of 10 dB. We need to determine the total power radiated by the antenna into free space.
1. Understanding Antenna Gain:
Antenna gain is a measure of the directionality of an antenna and represents how effectively the antenna converts input power into radiated power in a particular direction. It is usually expressed in decibels (dB). A higher gain indicates a more focused beam and better radiation efficiency.
2. Conversion of dB to Linear Scale:
To calculate the power radiated by the antenna, we first need to convert the gain from dB to a linear scale. The formula to convert dB to linear is:
Linear Value = 10^(dB Value/10)
In this case, the gain is 10 dB, so the linear value is:
Linear Value = 10^(10/10) = 10
3. Calculating the Radiated Power:
The antenna gain represents the ratio of the power radiated by the antenna to the power that would be radiated by an isotropic antenna (an ideal antenna that radiates power equally in all directions). Since the antenna is matched to the transmission line, we can assume that all the power delivered to the antenna is radiated.
Therefore, the total power radiated by the antenna can be calculated by multiplying the input power by the antenna gain:
Total Radiated Power = Input Power * Antenna Gain
In this case, the input power is 1 Watt and the antenna gain is 10 (linear value). Plugging these values into the equation:
Total Radiated Power = 1 Watt * 10 = 10 Watts
Therefore, the total power radiated by the horn antenna into free space is 10 Watts.
1. Understanding Antenna Gain:
Antenna gain is a measure of the directionality of an antenna and represents how effectively the antenna converts input power into radiated power in a particular direction. It is usually expressed in decibels (dB). A higher gain indicates a more focused beam and better radiation efficiency.
2. Conversion of dB to Linear Scale:
To calculate the power radiated by the antenna, we first need to convert the gain from dB to a linear scale. The formula to convert dB to linear is:
Linear Value = 10^(dB Value/10)
In this case, the gain is 10 dB, so the linear value is:
Linear Value = 10^(10/10) = 10
3. Calculating the Radiated Power:
The antenna gain represents the ratio of the power radiated by the antenna to the power that would be radiated by an isotropic antenna (an ideal antenna that radiates power equally in all directions). Since the antenna is matched to the transmission line, we can assume that all the power delivered to the antenna is radiated.
Therefore, the total power radiated by the antenna can be calculated by multiplying the input power by the antenna gain:
Total Radiated Power = Input Power * Antenna Gain
In this case, the input power is 1 Watt and the antenna gain is 10 (linear value). Plugging these values into the equation:
Total Radiated Power = 1 Watt * 10 = 10 Watts
Therefore, the total power radiated by the horn antenna into free space is 10 Watts.
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Community Answer
A transmission line is feeding 1 Watt of power to a horn antenna havi...
We have,
10 log G = 10 dB
or G = 10
Now gain G = Prod/Pin
or 10 = Prod/(1 W)
or Prod = 10 Watt
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A transmission line is feeding 1 Watt of power to a horn antenna having a gain of 10 dB. The antenna is matched to the transmission line. The total power (in Watt) radiated by the horn antenna into the free space is (Answer up to the nearest integer)Correct answer is '10'. Can you explain this answer?
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