Problem 1: The current on a transmission line is

1(z,t) = 2 sin(3t+ 4z + 5).

What is this current in phasor representation?

Problem 2: A voltage wave in a transmission line is traveling in the positive z-direction. The amplitude

and the phase of the complex amplitude of the voltage are 2 V and respectively. The frequency is

1 GHz and the electric permittivity is equal to 9. What is this voltage wave as a function of both position

and time?

Problem 3: A wave is traveling along a lossless transmission line with a length 4 cm and a characteristic

impedance 60 2. The line is terminated to a load 20 2. If the magnitude and phase of the incident wave

at the input of the line are 7 mV and 180°, respectively, what is the magnitude and phase of the

reflected wave at the load and at the input of the line? Assume a frequency 1 GHz and a relative

dielectric permittivity of 9.