Final answer:
The student's question pertains to finding the reflection coefficient, VSWR, and the locations of voltage maxima and minima on a lossless transmission line terminated with a complex load, using the principles of transmission line theory in electrical engineering.
Step-by-step explanation:
The student is asking about the characteristics of a transmission line terminated with a complex impedance load in the context of electrical engineering. To find the reflection coefficient (‘r’), voltage standing-wave ratio (VSWR), and locations of voltage maxima and minima along the transmission line, one must apply transmission line theory and use the given impedance values.
Reflection Coefficient (r)
Reflection coefficient, r, is calculated using the formula:
r = (Zl - Z0) / (Zl + Z0)
Where Zl is the load impedance and Z0 is the characteristic impedance of the line. Plugging in the given values:
r = ((300 + j150) Ω - 160 Ω) / ((300 + j150) Ω + 160 Ω)
Voltage Standing-Wave Ratio (VSWR)
VSWR is related to the reflection coefficient by the formula:
VSWR = (1 + |r|) / (1 - |r|)
Locations of Voltage Maxima and Minima
The locations of the voltage maxima and minima can be found using the wavelength (λ) and the phase of the reflection coefficient. The voltage maxima occur where the phase of the voltage reflection coefficient is 0 degrees or an even multiple of 180 degrees. The voltage minima occur where the phase is an odd multiple of 180 degrees. The distance from the load to the first voltage maximum or minimum can be found using the phase of the reflection coefficient and the wavelength.