# Homework Help: Waveguide problem 2

1. Oct 5, 2005

### danai_pa

In a rectangular waveguide. The time domain expression for transverse electric field component Ex is givien by

Ex = ACos(Pix/a)Sin(2Piy/b)Sin(7pi*10 to the power 10t-kz)

Determining the following

a) Operating mode (mode that pass through waveguidr)
b) Frequency of operation
c) Propagation constant k if the waveguide dimensions are a = 2.3 cm and b
= 1.2 cm. Assume that the waveguide is filled with air
d) Cut-off frequency
e) waveguide wavelength

2. Oct 6, 2005

3. Oct 6, 2005

### Tom Mattson

Staff Emeritus
Interpreting $\hat{e}_z$ in Maxwell's equations May 11, 2016