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For a reciprocal transmission line, the three transmission parameters are given by A = 4, B = 7 and C = 5. The value of D is equal to
  • a)
    8.5
  • b)
    9
  • c)
    -8.5
  • d)
    -9
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
For a reciprocal transmission line, the three transmission parameters ...
Since the transmission line is reciprocal, therefore,
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For a reciprocal transmission line, the three transmission parameters ...
Reciprocal Transmission Line:
A reciprocal transmission line is a type of transmission line where the input and output characteristics are the same, regardless of the direction of signal flow. In other words, if we reverse the direction of signal propagation, the transmission parameters remain unchanged.

Transmission Parameters:
Transmission parameters are a set of parameters used to describe the behavior of a transmission line. In a reciprocal transmission line, there are three transmission parameters: A, B, and C.

- A Parameter (Attenuation): A represents the attenuation or loss in the transmission line. It is the ratio of the output power to the input power when the input impedance is matched to the characteristic impedance of the line.

- B Parameter (Propagation Constant): B represents the phase constant or propagation constant of the transmission line. It is the rate at which the phase of a sinusoidal wave propagates in the line.

- C Parameter (Input Impedance): C represents the input impedance of the transmission line. It is the ratio of the voltage at the input to the current at the input when the output is terminated with the characteristic impedance of the line.

Given Values:
In the given problem, the values of A, B, and C are given as follows:
A = 4
B = 7
C = 5

Calculation of D Parameter:
The D parameter is defined as the ratio of the output current to the input voltage when the output is terminated with the characteristic impedance of the line. It can be calculated using the formula:

D = (BC - A)

Substituting the given values, we get:

D = (7 * 5) - 4
D = 35 - 4
D = 31

Therefore, the value of D is 31.

Answer:
The correct answer is option 'B', which is 31. However, none of the given options match the calculated value of D.
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