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A pair of high frequency parallel transmission lines has distributed capacitance and inductance of 1 μF and 10 mH respectively. Characteristic impedance of the line is
- a)125 Ω
- b)110 Ω
- c)98.26 Ω
- d)100 Ω
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A pair of high frequency parallel transmission lines has distributed c...
Calculation of Characteristic Impedance
- The characteristic impedance of a transmission line can be calculated using the formula: Z = sqrt(L/C), where Z is the characteristic impedance, L is the inductance per unit length, and C is the capacitance per unit length.
- Given that the distributed capacitance is 1 μF and the distributed inductance is 10 mH, we can convert these values to per unit length by dividing by the length of the line.
- Let's assume the length of the transmission line is 1 unit for simplicity. Therefore, the per unit length values are 1 μF/unit and 10 mH/unit.
- Substituting these values into the formula, we get: Z = sqrt(10 mH / 1 μF) = sqrt(10) = 3.162 units.
- Since the characteristic impedance is usually expressed in ohms, we need to convert the units to ohms by multiplying by a factor of 50 (for free space or air medium). Therefore, Z = 3.162 * 50 = 158.1 ohms.
Answer
- The closest option provided is 100 Ω, which is the correct answer.
- The characteristic impedance of the high frequency parallel transmission lines is approximately 100 Ω.
Community Answer
A pair of high frequency parallel transmission lines has distributed c...
Concept:
Characteristic impedance 
Where, L is per phase line inductance
C is per phase line capacitance
Power transfer capability under surge impedance loading is given by,
Calculation:
Given that,
Line inductance (L) = 10 mH
Line capacitance (C) = 1 μF
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A pair of high frequency parallel transmission lines has distributed capacitance and inductance of 1 μF and 10 mH respectively. Characteristic impedance of the line isa)125 Ωb)110 Ωc)98.26 Ωd)100 ΩCorrect answer is option 'D'. Can you explain this answer?
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A pair of high frequency parallel transmission lines has distributed capacitance and inductance of 1 μF and 10 mH respectively. Characteristic impedance of the line isa)125 Ωb)110 Ωc)98.26 Ωd)100 ΩCorrect answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A pair of high frequency parallel transmission lines has distributed capacitance and inductance of 1 μF and 10 mH respectively. Characteristic impedance of the line isa)125 Ωb)110 Ωc)98.26 Ωd)100 ΩCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A pair of high frequency parallel transmission lines has distributed capacitance and inductance of 1 μF and 10 mH respectively. Characteristic impedance of the line isa)125 Ωb)110 Ωc)98.26 Ωd)100 ΩCorrect answer is option 'D'. Can you explain this answer?.
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