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A load with admittance of 40−j15mS is excited by a source of 10 W with Zg = 50Ω at 2.5GHz using a lossless 15.3 long 50Ω line with Uₚ = 20GHz cm.

Find α,β, and λ. Show schematic circuit diagram of this system using Norton's model of generator; calculate voltage and impedance at line input.

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Final answer:

The question is about calculating values for a transmission line's parameters and providing a schematic circuit diagram using Norton's model. It requires knowledge of transmission line theory and the use of certain electrical engineering concepts such as admittance, impedance, and phase velocity. Appropriate conversions between units of length and the application of transmission line formulas must be used to find the necessary values.

Step-by-step explanation:

The student's question involves calculating the attenuation constant (α), phase constant (β), and wavelength (λ) for a transmission line at a specified frequency. Additionally, the student needs to draw a schematic circuit diagram using Norton's model for a generator and calculate both voltage and impedance at the line's input. The given information suggests a load with an admittance of 40-j15 mS and a source power of 10 W, with a characteristic impedance (Zg) of 50Ω at a frequency of 2.5 GHz. The transmission line has a length of 15.3 units (presumed meters) and a phase velocity (Υₚ) of 20 GHz cm.

To find α, β, and λ, we use the relation β = 2π/λ and the provided phase velocity. Since the line is lossless, α is zero. The wavelength λ can be calculated by dividing the phase velocity by the frequency. With the admittance of the load, the voltage and impedance at the line's input can be determined using Ohm's law and the transmission line equations.

The schematic circuit diagram should show the generator represented by a current source in parallel with an impedance, connected to the transmission line which, in turn, is connected to the load. Unfortunately, the student has mixed two measurement units (meters for length, centimeters for Υₚ), without specifying the length's unit.

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