How Do You Calculate Fields of a Hertzian Dipole Using MATLAB?

In summary, we have a hertzian dipole antenna with a length of 5 mm and a current of 2 A at a frequency of 50 MHz. We are tasked with finding the electric and magnetic fields at a distance of 15 cm away from the antenna, with the angle theta set at 30 degrees. After performing manual calculations and using necessary equations, it is determined that the magnitude of the electric field is (μIo/4∏r) * sinθ * e^(-jβr)*[ sin(βL/2) - j cos(βL/2)] and the magnitude of the magnetic field is (Io/4∏r) *sinθ *e^(-jβr
  • #1
rk2ray
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0

Homework Statement



a hertzian dipole antenna has a length of 5 mm and carries a 50 MHz current of 2 A. Find the magnitude of the electric and magnetic fields at a distance 15 cm away from the antenna and theta=30 degree.

Homework Equations



Attached the equations

The Attempt at a Solution



I tried to do manual calculations but need MATLAB code

Given that
r = 15cm = .15 m
θ=30°
dl=5mm =.005 m
Io= 2A
f=50 MHz

ω = 2∏f = 3.14 x 10^8 rad/s

β = ω/c = 1.04 /m

λ = 2∏/β = 6 m

η = 120∏
 

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  • #2
Etheta = (μIo/4∏r) * sinθ * e^(-jβr)*[ sin(βL/2) - j cos(βL/2)]Ephi = (μIo/4∏r) *cosθ * e^(-jβr)*[ cos(βL/2)- j Sin(βL/2)]Htheta = (Io/4∏r) *sinθ *e^(-jβr)*[ cos(βL/2) + j sin(βL/2)]Hphi = (Io/4∏r) *cosθ *e^(-jβr)*[ -sin(βL/2) + j cos(βL/2)]E = sqrt((Etheta^2)+(Ephi^2))H = sqrt((Htheta^2)+(Hphi^2))
 

Related to How Do You Calculate Fields of a Hertzian Dipole Using MATLAB?

1. What is a Hertzian Dipole in Matlab?

A Hertzian Dipole in Matlab is a model used to represent an ideal short antenna in an electromagnetic field. It is a mathematical representation of the radiation pattern and electric field of a dipole antenna, which is a basic element in wireless communication systems.

2. How is a Hertzian Dipole created in Matlab?

In Matlab, a Hertzian Dipole can be created by defining its parameters such as length, position, and orientation, and then using the "dipole" function to generate a dipole object. This object can then be used to plot the electric field and radiation pattern of the dipole.

3. What are the key features of a Hertzian Dipole in Matlab?

The key features of a Hertzian Dipole in Matlab include its length, position, orientation, and frequency. These parameters determine the shape and direction of the electric field and radiation pattern of the dipole.

4. How is the radiation pattern of a Hertzian Dipole visualized in Matlab?

In Matlab, the radiation pattern of a Hertzian Dipole can be visualized by using the "pattern" function, which takes in the dipole object and plots the 3D radiation pattern in a polar plot. Alternatively, the "ezplot" function can be used to plot the 2D radiation pattern in a rectangular plot.

5. What are the applications of a Hertzian Dipole in Matlab?

A Hertzian Dipole in Matlab is commonly used in the design and analysis of wireless communication systems, such as antennas and radio frequency circuits. It can also be used in radar systems, electromagnetic compatibility studies, and other fields involving the propagation of electromagnetic waves.

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