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A lossless transmission line is terminated in a load which reflects a parts of the incident power. The measured VSWR is 2. The percentage of the power that is reflected back is _____________
- a)11.11
- b)11.15
- c)2.5
- d)12.02
Correct answer is option 'A'. Can you explain this answer?
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Lossless Transmission Line and VSWR:
A lossless transmission line is a type of transmission line that does not have any power loss due to resistance. It is typically made of a perfect conductor and a dielectric material with no losses. When a lossless transmission line is terminated in a load, a portion of the incident power is reflected back due to impedance mismatch.
VSWR (Voltage Standing Wave Ratio):
VSWR is a measure of the impedance mismatch between the transmission line and the load. It is defined as the ratio of the maximum voltage to the minimum voltage along the transmission line. In other words, it represents the ratio of the maximum amplitude of the standing wave to the minimum amplitude.
Calculating Reflected Power:
The VSWR can be used to calculate the percentage of power that is reflected back. The formula to calculate the reflected power is given by:
Reflected Power (%) = [(VSWR - 1) / (VSWR + 1)]^2 x 100
In this case, the measured VSWR is 2. Substituting this value into the formula:
Reflected Power = [(2 - 1) / (2 + 1)]^2 x 100
= (1 / 3)^2 x 100
= (1 / 9) x 100
= 11.11%
Therefore, the percentage of power that is reflected back is 11.11%. Hence, option A is the correct answer.
A lossless transmission line is a type of transmission line that does not have any power loss due to resistance. It is typically made of a perfect conductor and a dielectric material with no losses. When a lossless transmission line is terminated in a load, a portion of the incident power is reflected back due to impedance mismatch.
VSWR (Voltage Standing Wave Ratio):
VSWR is a measure of the impedance mismatch between the transmission line and the load. It is defined as the ratio of the maximum voltage to the minimum voltage along the transmission line. In other words, it represents the ratio of the maximum amplitude of the standing wave to the minimum amplitude.
Calculating Reflected Power:
The VSWR can be used to calculate the percentage of power that is reflected back. The formula to calculate the reflected power is given by:
Reflected Power (%) = [(VSWR - 1) / (VSWR + 1)]^2 x 100
In this case, the measured VSWR is 2. Substituting this value into the formula:
Reflected Power = [(2 - 1) / (2 + 1)]^2 x 100
= (1 / 3)^2 x 100
= (1 / 9) x 100
= 11.11%
Therefore, the percentage of power that is reflected back is 11.11%. Hence, option A is the correct answer.
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A lossless transmission line is terminated in a load which reflects a parts of the incident power. The measured VSWR is 2. The percentage of the power that is reflected back is _____________a)11.11b)11.15c)2.5d)12.02Correct answer is option 'A'. Can you explain this answer?
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