Normalized input impedance of one quarter wavelength of transmission line terminated by load impedance ZL will be equal to Select one:a. (YL / 4)b. YL = (1 / ZL) c. (ZL / 2)d. (ZL / 4)
Question
Normalized input impedance of one quarter wavelength of transmission line terminated by load impedance ZL will be equal to Select one:a. (YL / 4)b. YL = (1 / ZL) c. (ZL / 2)d. (ZL / 4)
Solution
To find the normalized input impedance of a quarter wavelength transmission line terminated by a load impedance ZL, we can use the formula Zin = ZL * (Z0 + jZL * tan(beta * l))/(ZL + jZ0 * tan(beta * l)), where Z0 is the characteristic impedance of the transmission line, beta is the propagation constant, and l is the length of the transmission line.
Step 1: Calculate the propagation constant beta using the formula beta = 2 * pi / lambda, where lambda is the wavelength of the signal.
Step 2: Calculate the characteristic impedance Z0 of the transmission line.
Step 3: Substitute the values of ZL, Z0, beta, and l into the formula Zin = ZL * (Z0 + jZL * tan(beta * l))/(ZL + jZ0 * tan(beta * l)).
Step 4: Simplify the expression and calculate the normalized input impedance Zin/Z0.
The correct answer is not provided in the options given.
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