###### Fundamentals of Electromagnetics with MATLAB

167 SOLVED PROBLEMS

Question: 6.21

## (a) Find the phase and group velocities for a normal transmission line depicted below. (b) Find the phase and group velocities for a transmission line in which the circuit elements are interchanged. ...

(a) From (6.77), we write  \gamma=\alpha+j ...
Question: 4.26

## Two charged parallel square plates with dimensions L × L = 1 m² are separated by a distance of d = 0.1 m. Each side is subdivided into N = 64 equal subareas. The potential of the top plate is + 5 V, and the potential of the bottom plate is – 5 V. (a) Find and plot the charge density distribution ...

(a) The column vector of the known potential is [l...
Question: 4.18

## Determine the potential distribution within the two adjacent triangular regions if the potential is specified at all nodes V1 = 8 @ ( 4, 0); V2 = 0 @ (0, 0); V3 = 0 @ (4, 3); and V4 = 8 @ (0, 3). ...

The voltage distribution in the triangle (1, 2, 3)...
Question: 8.7

## Find the radiation resistance of an infinitesimal dipole. ...

The radiated power $P_{rad}$ from the...
Question: 8.18

## Compare the directivities of two arrays consisting of three identical elements separated by a half wavelength for the following two cases: (a) Uniform array: (I-1 = I0 = I1 = 1 A). (b) Binomial array: (I-1 = I1 = 1 A; I0 = 2A). ...

From (8.71), we compute D = \frac{\left\lgr...
Question: 8.17

## Find the current in one of the dipoles in an antenna array if there is (a) No mutual coupling between the dipoles. (b) A mutual coupling between the dipoles. The driving voltage is V1 = 100 V and the distance between the two half-wave dipoles is d = λ/2. Estimate the amplitude and the phase change. ...

(a) For the case with no mutual coupling, we can a...
Question: 8.16

## Using the concept of the multiplication of patterns, find the radiation pattern of the array of four elements as shown in the figure. ...

This array is to be replaced with an array of two ...
Question: 8.15

## Find and plot the radiation pattern of two parallel thin half-wavelength electric dipoles separated by d = λ/2, λ, and 3λ/2. The mutual coupling of the dipoles is neglected. ...

Here the radiation pattern of this linear array is...
Question: 8.14