For a transmission line, which of the following is correct if it is terminated with the same resistance as of characteristic impedanceSelect one:a. the line loss will be maximumb. SWR will be minimumc. the i/p impedance will be twice the terminating resistanced. Reflection coefficient will be unity
Question
For a transmission line, which of the following is correct if it is terminated with the same resistance as of characteristic impedanceSelect one:a. the line loss will be maximumb. SWR will be minimumc. the i/p impedance will be twice the terminating resistanced. Reflection coefficient will be unity
Solution
To answer the question, we need to understand the concept of characteristic impedance and its relationship with the termination resistance of a transmission line.
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Characteristic Impedance: The characteristic impedance of a transmission line is the impedance that the line appears to have when it is infinitely long. It is denoted by Z0 and is determined by the physical properties of the transmission line, such as its dimensions and the dielectric material used.
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Termination Resistance: The termination resistance is the resistance connected at the end of the transmission line. It is denoted by Rt.
Now, let's analyze the given options:
a. The line loss will be maximum: The line loss in a transmission line is determined by factors such as the resistance, inductance, and capacitance of the line. The termination resistance does not directly affect the line loss. Therefore, option a is not correct.
b. SWR will be minimum: SWR (Standing Wave Ratio) is a measure of how well the transmission line is matched to the load impedance. When the termination resistance is equal to the characteristic impedance, the SWR will be minimum. Therefore, option b is correct.
c. The i/p impedance will be twice the terminating resistance: The input impedance of a transmission line depends on the termination resistance and the characteristic impedance. When the termination resistance is equal to the characteristic impedance, the input impedance will also be equal to the termination resistance. Therefore, option c is not correct.
d. Reflection coefficient will be unity: The reflection coefficient is a measure of how much of the incident signal is reflected back from the termination. When the termination resistance is equal to the characteristic impedance, the reflection coefficient will be zero, not unity. Therefore, option d is not correct.
In conclusion, the correct answer is option b: SWR will be minimum if a transmission line is terminated with the same resistance as the characteristic impedance.
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