Chapter 1, Problem 13P

The voltage of an electromagnetic wave traveling on a transmission line is given by

$\upsilon \left(z,t\right)=5e^{-\alpha z}\sin \left(4\pi \times {10}^{9}t-20\pi z\right)\left(\text{V}\right)$,

where z is the distance in meters from the generator.

1. (a) Find the frequency, wavelength, and phase velocity of the wave.
2. (b) At z = 2 m, the amplitude of the wave was measured to be 2 V. Find α.