Question 4.14: Write a MATLAB program that calculates and plots the two-dim...

Fundamentals of Electromagnetics with MATLAB

Write a MATLAB program that calculates and plots the two-dimensional potential variation for the potential source shown in Figure 4-12. Use 5 terms for the potential.

The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

Related Answered Questions

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 ...

Verified Answer:

(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). ...

Verified Answer:

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

Question: 4.25

Find the charge distribution on the cylindrical conductor whose radius is a = 0.01 m and whose length is L = 1 m. The potential on the surface is V = 1 V. You may assume that the charge is distributed uniformly in each section. Assume that the number of the sections is N = 5 and the step size is ...

Verified Answer:

The matrix equation relating the potentials to the...

Question: 4.23

Solve the same boundary value problem as in the previous example but apply the finer mesh shown in the figure below. There are NN = 21 nodes and NE = 24 triangular elements. In addition, plot the equipotential contours and the electric field between the two surfaces. ...

Verified Answer:

1. The potential is found by solving the matrix eq...

Question: 4.20

Using the results of Example 4-19, determine the unknown potential V4. The values of the other three potentials are known. ...

Verified Answer:

From Example 4-19 we obtained the S-matrix of the ...

Question: 4.17

(a) Find the voltage distribution within the triangular element if the voltages at the three nodes have the following values V1 = 8 @ (4, 0); V2 = 0 @ (0, 0); and V3 = 0 @ (4, 3). (b) Determine the area of the triangle that is defined by the three nodes. ...

Verified Answer:

(a) The voltage distribution within the element is...

Question: 4.16

The potential in a region from 0 ≤ x ≤ 2 and 0 ≤ y ≤ 2 is described with the expression V(x, y) = V0 exp[-(x² + y²)]. Calculate and plot the volume charge density ρν(x, y) that would be calculated from Poisson’s equation assuming that ε0 = 1. ...

Verified Answer:

Here the del2 function is applied. The results are...

Question: 4.12

Using MATLAB, plot the voltage V(x) = e^-x² and the electric field Ex(x) = -dV/dx as a function of x in the range – 3 ≤ x ≤ 3. ...

Verified Answer:

The difference operation diff(V)./diff(x) sequenti...

Question: 4.10

Repeat Example 4-9 with a uniform charge distribution ρν = – 4ε0 in the space 0 ≤ x ≤ 1. Find the potential distribution between two surfaces if V(x = 0) = 0 and V(x = 1) = 3. ...

Verified Answer:

Using the central difference method, we write Pois...

Question: 4.7

Find and plot the potential distribution between two long concentric cylinders. The length of the cylinders is L . The boundary conditions are: V(ρ = a) = V0 and V(ρ ≥ b) = 0. ...

Verified Answer:

Because of the symmetry, we should employ Laplace'...