Question

Find the characteristic impedance of a quarter wave with input and load impedances given by 50 and 25 respectively. (a) 50 (b) 25 (c) 75 (d) 35.35 I have been asked this question in my homework. Asked question is from Transmission Line Equations topic in section Transmission Lines of Electromagnetic Theory Select the correct answer from above options Electromagnetic Theory questions and answers, Electromagnetic Theory questions pdf, Electromagnetic Theory question bank, Electromagnetic Theory questions and answers pdf, mcq on Electromagnetic Theory pdf,electromagnetic theory book pdf,electromagnetic theory pdf notes,electromagnetic theory lecture notes,electromagnetic theory of light,maxwell electromagnetic theory,electromagnetic theory proposed by,electromagnetic theory engineering physics,electromagnetic theory nptel

Answer 1

Right answer is (d) 35.35 To explain I would say: For a quarter line wave, the characteristic impedance is the geometric mean of input and load impedances. Thus Zo^2 = Zin ZL. On substituting for Zin = 50 and ZL = 25, we get Zo^2 = 50 x 25. The characteristic impedance will be 35.35 ohm.