Find the charge distribution on a cylindrical conductor

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Reference no: EM132384426

MATLAB Assignment -

Answer 4 questions correctly and for each of them must:

Each .m file must run on MATLAB without errors or warnings.
To complete the question on all its parts (derivation, calculations and MATLAB code);
Derivation and calculations must be submitted along with the plot or plots showing the output of the MATLAB code to EIS with a coversheet.
To summarise: Material to be submitted through EIS FOR EACH QUESTION is: The code typed, The plots produced by the code and The derivation or calculations required to write the code or to answer to the questions.

Question 1 -

Using MATLAB/OCTAVE, plot the vector field

A^→ = y²x^{^} - xy^ in the region - 2 < x < +2 and -2 < y < +2

Find the magnitude of the vector field at the point (x₀, y₀) = (3, 2).

Question 2 - Derive the magnetic field B inside and outside of an infinite thick wire with radius a = 1. The wire carries a uniformly distributed current I = 1 A in the direction outwards the page.

Plot the magnetic flux density in the region -2 < x < +2 and -2 < y < +2 that is internal to the wire and external to the wire. The expected result should look like Fig 1.

Question 3 - Using MATLAB/OCTAVE and the Method of Moments (MoM), find the charge distribution on a cylindrical conductor whose radius is a = 0.01m and length L = 1m. The potential on the wire is V = 1V. You may assume that the charge is distributed uniformly within each section. Assume that the number of the sections is N = 5 and the step size is ΔL = 0.2m.

Question 4 - For the indicated boundary conditions that are specified in the figure, derive analytically the electric potential distribution V(x, y) within the enclosed region by solving Laplace's equation (Hint: by separation of variables). Plot the potential distribution using FDM with:

a = 1 m

V₀ = 25 V

Compare and comment the results obtained using the analytical solution and the FD method.

Reference no: EM132384426

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