A transmission line has a characteristic impedance of 710 Z-16° Ohms at1 kHz. At this frequency, the attenuation constant and phase shift is found tobe 0.01 neper and 0.035 radian per km respectively. Calculate the primaryconstants of the line.
Question
A transmission line has a characteristic impedance of 710 Z-16° Ohms at1 kHz. At this frequency, the attenuation constant and phase shift is found tobe 0.01 neper and 0.035 radian per km respectively. Calculate the primaryconstants of the line.
Solution
To calculate the primary constants of the transmission line, we can use the given information about the characteristic impedance, attenuation constant, and phase shift.
Step 1: Convert the attenuation constant from nepers to decibels.
- Attenuation constant in decibels = 8.686 * attenuation constant in nepers
- Attenuation constant in decibels = 8.686 * 0.01 = 0.08686 dB
Step 2: Calculate the attenuation constant per unit length.
- Attenuation constant per unit length = Attenuation constant in decibels / 10
- Attenuation constant per unit length = 0.08686 dB / 10 = 0.008686 dB/km
Step 3: Calculate the phase constant per unit length.
- Phase constant per unit length = Phase shift / length
- Phase constant per unit length = 0.035 radian/km
Step 4: Calculate the primary constants.
- Primary constants = sqrt((attenuation constant per unit length)^2 + (phase constant per unit length)^2)
- Primary constants = sqrt((0.008686 dB/km)^2 + (0.035 radian/km)^2)
After performing the calculations, you will obtain the primary constants of the transmission line.
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