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A transmission line has impedance as 200 Ω is terminated with a cable which has impedance as 40 Ω. The coefficient of refraction of current and that of voltagerespectively___________
  • a)
        0.667,-0.667         
  • b)
        -0.667,0.667
  • c)
        1.67,0.33               
  • d)
        0.33, 1.67
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A transmission line has impedance as 200 is terminated with a cable w...
Solution:

To find the coefficients of reflection of current and voltage, we need to use the equations for reflection coefficients.

The reflection coefficient of current (Γi) is given by:
Γi = (Zc - Z0) / (Zc + Z0)

The reflection coefficient of voltage (Γv) is given by:
Γv = (Z0 - Zc) / (Z0 + Zc)

where Zc is the cable impedance and Z0 is the characteristic impedance of the transmission line.

Given:
Z0 = 200
Zc = 40

Calculating the reflection coefficient of current (Γi):
Γi = (40 - 200) / (40 + 200)
= -160 / 240
= -2/3
= -0.667

Calculating the reflection coefficient of voltage (Γv):
Γv = (200 - 40) / (200 + 40)
= 160 / 240
= 2/3
= 0.667

Hence, the coefficients of reflection of current and voltage are -0.667 and 0.667 respectively, which matches with option A.
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A transmission line has impedance as 200 is terminated with a cable which has impedance as 40 . The coefficient of refraction of current and that of voltagerespectively___________a) 0.667,-0.667b) -0.667,0.667c) 1.67,0.33d) 0.33, 1.67Correct answer is option 'A'. Can you explain this answer?
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A transmission line has impedance as 200 is terminated with a cable which has impedance as 40 . The coefficient of refraction of current and that of voltagerespectively___________a) 0.667,-0.667b) -0.667,0.667c) 1.67,0.33d) 0.33, 1.67Correct answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A transmission line has impedance as 200 is terminated with a cable which has impedance as 40 . The coefficient of refraction of current and that of voltagerespectively___________a) 0.667,-0.667b) -0.667,0.667c) 1.67,0.33d) 0.33, 1.67Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A transmission line has impedance as 200 is terminated with a cable which has impedance as 40 . The coefficient of refraction of current and that of voltagerespectively___________a) 0.667,-0.667b) -0.667,0.667c) 1.67,0.33d) 0.33, 1.67Correct answer is option 'A'. Can you explain this answer?.
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