Question

A lossless 60 Ω line is terminated by a (60 + j60) Ω load.

(a) Find Γ and VSWR.

(b) If Zin = 120 - j60 Ω, how far (in terms of wavelengths) is the load from the generator?

(c) What fraction of the voltage is reflected?

(d) What fraction of the current is reflected?

(e) What fraction of the power is reflected?

Answer 1

Answer:- The normalized load impedance is-

The normalized input impedance is-

Let A and B are the points on the smith chart showing the above two normalized values. Assuming OA as the radius, we draw the constant SWR circle. The point S is the VSWR point. Thus-

The ratio of OA and OC gives the magnitude of the reflection coefficient. The angle of the reflection coefficient can be seen at point C. Thus-

Please use scale and measure the length of OA and OB to find the value of x.

The reflection coefficient is defined as-

The fraction of voltage reflected = x. In percent, multiply by 100.

The fraction of voltage reflected = x. In percent, multiply by 100.

The fraction of voltage reflected = x². In percent, multiply by 100.

Moving clockwise (towards generator) from point A to point B, the length from load to the generator is-