)  A 50 cm length 50 ohms coaxial cable is terminated with an antenna having an impedance of 100 + j150 ohms to be operated at 3.5 GHz. The cable is made with inner and outer conductor and dielectric (relative permittivity = 2.56) in between the two conductors. (i) Determine the load reflection coefficient. (ii) Find the standing wave ratio (SWR). (iii) Determine the input impedance of the line.

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a)  A 50 cm length 50 ohms coaxial cable is terminated with an antenna having an impedance of 100 + j150 ohms to be operated at 3.5 GHz. The cable is made with inner and outer conductor and dielectric (relative permittivity = 2.56) in between the two conductors.

(i) Determine the load reflection coefficient.

(ii) Find the standing wave ratio (SWR).

(iii) Determine the input impedance of the line.

(iv) What can you do to reduce the load reflection coefficient?

 

The antenna in Q.(a) is to be matched to the said 50 Ω coaxial line using single series stub tuner. You are requested to find two solutions using open circuited stub using Smith Chart.

(i) Determine the normalized load impedance and plot on the Smith Chart?

(ii) Find the two possible distance of the stub from the load.

(iii) Find the two possible length of the stub.

(iv) Sketch the circuits

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