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The input impedance of a short circuited quarter wave long transmission line is
  • a)
    purely reactive
  • b)
    purely resistive
  • c)
    dependent on the characteristic impedance of the line
  • d)
    none of the above
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The input impedance of a short circuited quarter wave long transmissio...
Input impedance of a short-circuited quarter wave line depends on the nature of load impedance ZL.
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The input impedance of a short circuited quarter wave long transmissio...
Explanation:

Input impedance is the impedance seen by the input of a transmission line. The input impedance of a short circuited quarter wave long transmission line can be explained as follows:

- A quarter wave long transmission line is a transmission line whose length is equal to one-fourth of the wavelength of the signal being transmitted.
- When this transmission line is short circuited at the input end, the voltage at the input end becomes zero and the current becomes maximum.
- The signal then travels along the transmission line towards the load. After traveling a quarter wavelength, the signal gets reflected at the load end.
- The reflected signal travels back towards the input end and when it reaches the input end, it gets reflected again due to the short circuit.
- The two reflected signals add up at the input end and create a standing wave pattern.
- The input impedance of the short circuited quarter wave long transmission line is the impedance seen by the input end of the line due to the standing wave pattern.

Answer:

The input impedance of a short circuited quarter wave long transmission line is neither purely reactive nor purely resistive. It is a complex impedance that depends on the characteristic impedance of the line, the frequency of the signal being transmitted, and the length of the line. Therefore, option D is the correct answer.
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The input impedance of a short circuited quarter wave long transmission line isa)purely reactiveb)purely resistivec)dependent on the characteristic impedance of the lined)none of the aboveCorrect answer is option 'D'. Can you explain this answer?
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