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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 radiated by the horn antenna into the free space is
- a)10 watt
- b)1 watt
- c)0.1 watt
- d)0.01 watt
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A transmission line is feeding 1 watt of power to a horn antenna havin...
Pradiated = Gain of Antenna x Input power = G.I
10 log1010 . 1 
10 watt.Most Upvoted Answer
A transmission line is feeding 1 watt of power to a horn antenna havin...
Transmission Line and Antenna Gain
A transmission line is used to transfer electrical power from a source to a load, while an antenna is used to radiate electromagnetic waves into free space. The power transfer between the transmission line and the antenna is an important factor in the overall efficiency of the system.
The gain of an antenna is a measure of how well it converts electrical power into radiated power. It is usually expressed in decibels (dB) and can be positive or negative. A positive gain indicates that the antenna is more efficient at radiating power, while a negative gain indicates that the antenna is less efficient.
In this scenario, the transmission line is feeding 1 watt of power to a horn antenna with a gain of 10 dB. Let's calculate the total power radiated by the horn antenna into free space.
Calculating the Total Power Radiated
To calculate the total power radiated by the horn antenna, we need to consider the power gain of the antenna. The power gain is calculated using the formula:
Power Gain (in dB) = 10 log (Power Output / Power Input)
In this case, the power gain of the antenna is given as 10 dB. Therefore, we can write:
10 dB = 10 log (Power Output / 1 watt)
Simplifying the equation, we have:
1 = log (Power Output / 1 watt)
Since the logarithm is the inverse of the exponentiation, we can rewrite the equation as:
10^1 = Power Output / 1 watt
Therefore, the power output of the antenna is:
Power Output = 10 watts
Hence, the total power radiated by the horn antenna into free space is 10 watts.
Conclusion
In conclusion, when a transmission line is feeding 1 watt of power to a horn antenna with a gain of 10 dB, the total power radiated by the antenna into free space is 10 watts. The gain of the antenna allows for a more efficient conversion of electrical power into radiated power, resulting in a higher power output.
A transmission line is used to transfer electrical power from a source to a load, while an antenna is used to radiate electromagnetic waves into free space. The power transfer between the transmission line and the antenna is an important factor in the overall efficiency of the system.
The gain of an antenna is a measure of how well it converts electrical power into radiated power. It is usually expressed in decibels (dB) and can be positive or negative. A positive gain indicates that the antenna is more efficient at radiating power, while a negative gain indicates that the antenna is less efficient.
In this scenario, the transmission line is feeding 1 watt of power to a horn antenna with a gain of 10 dB. Let's calculate the total power radiated by the horn antenna into free space.
Calculating the Total Power Radiated
To calculate the total power radiated by the horn antenna, we need to consider the power gain of the antenna. The power gain is calculated using the formula:
Power Gain (in dB) = 10 log (Power Output / Power Input)
In this case, the power gain of the antenna is given as 10 dB. Therefore, we can write:
10 dB = 10 log (Power Output / 1 watt)
Simplifying the equation, we have:
1 = log (Power Output / 1 watt)
Since the logarithm is the inverse of the exponentiation, we can rewrite the equation as:
10^1 = Power Output / 1 watt
Therefore, the power output of the antenna is:
Power Output = 10 watts
Hence, the total power radiated by the horn antenna into free space is 10 watts.
Conclusion
In conclusion, when a transmission line is feeding 1 watt of power to a horn antenna with a gain of 10 dB, the total power radiated by the antenna into free space is 10 watts. The gain of the antenna allows for a more efficient conversion of electrical power into radiated power, resulting in a higher power output.
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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 radiated by the horn antenna into the free space isa)10 wattb)1 wattc)0.1 wattd)0.01 wattCorrect answer is option 'A'. Can you explain this answer?
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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 radiated by the horn antenna into the free space isa)10 wattb)1 wattc)0.1 wattd)0.01 wattCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about 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 radiated by the horn antenna into the free space isa)10 wattb)1 wattc)0.1 wattd)0.01 wattCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 radiated by the horn antenna into the free space isa)10 wattb)1 wattc)0.1 wattd)0.01 wattCorrect answer is option 'A'. Can you explain this answer?.
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 radiated by the horn antenna into the free space isa)10 wattb)1 wattc)0.1 wattd)0.01 wattCorrect answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about 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 radiated by the horn antenna into the free space isa)10 wattb)1 wattc)0.1 wattd)0.01 wattCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 radiated by the horn antenna into the free space isa)10 wattb)1 wattc)0.1 wattd)0.01 wattCorrect answer is option 'A'. Can you explain this answer?.
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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 radiated by the horn antenna into the free space isa)10 wattb)1 wattc)0.1 wattd)0.01 wattCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for 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 radiated by the horn antenna into the free space isa)10 wattb)1 wattc)0.1 wattd)0.01 wattCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of 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 radiated by the horn antenna into the free space isa)10 wattb)1 wattc)0.1 wattd)0.01 wattCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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