physics of waves Q1 full answer please A transmission line o

physics of waves Q1

full answer please

A transmission line of characteristic impedance 100 ohm carries a voltage wave of the form V^+ = (0.2 V) cos(omega t - kz). This wave is incident on a load circuit with the complex impedances given below. Find the form of the reflected voltage and the reflectance (see Problem 2) for each case. Z_L = 100 ohm Z_L = 500 ohm Z_L= 100 i ohm Z_L = 500 ohm Z_L = 100 ohm + i 100 ohm

Solution

According to telegraph equations,

REFRACTION(V₂,I₂)= INCIDENT(V,I) + REFLECTION(V₁,I₁)

V₂=V+V₁,

I₂=I+I₁

Let Z_c be the charectoristic impedence and Z_L be impedence of the load

then using the concept of surface of discontinuity, we can write the eqaution for

Now using the above formulae we can solve the questions by considering the magnitude of load impedences

GIVEN THAT Z_C = 100,VOLTAGE =0.2(peak)

here u didnot mention problem 2 as mentioned in the question for reflectance

QUESTION NUMBER	ZL(GIVEN)	ZL(MAGNITUDE)	VREFLECTION(CALCULATED USING    FORMULA)	REFLECTED VOLTAGE= VREFLECTION*V OF THE SIGNAL
A	100	100	0	0
B	500	500	0.66	0.132
C	100i	100	0	0
D	500i	500	0.66	0.132
E	100+100i	141.42	0.171	0.03