Reference no: EM131891648

Question - A 50 Ω transmission line has a load impedance of 100 Ω. Assume the frequency is 10 GHz and the propagation constant on the line is β = k_o√2 = 2π/λ_g, where k_o = 2π/λ_o is the free-space wave number, λ_o is the free-space wavelength, and λ_g is the wavelength along the line. The lengths d₁ and d₂ are 3/8 λ_g.

(a) Find the value of a capacitors, C₁ and C₂ that will match the 100 ohm load to the 50 ohm transmission line; i.e., there is to be no reflected power back to the generator at 10 GHz. (Note that C₁ and C₂ are generic and in fact may be inductors. You need to calculate their values in either Farad or Henry.)

(b) Calculate the input impedance Z_in as a function of frequency between 9 and 11 GHz.

(c) Assuming the generator delivers 1 watt of power to the load at 10 GHz, calculate the power transmitted to the load as a function of frequency between 9 and 11 GHz.