Reference no: EM132847677

ELEN3002 Fundamentals of Engineering Electromagnetics and Transmission Lines - Curtin University

Laboratory "Fields Visualization"

Instructions to perform the Lab:

The aim of this self-paced computer laboratory is to practice the operations with vector fields through their visual interpretations. Vector operations and plotting can be easily performed with MATLAB*.

The laboratory report should contain the front page (with laboratory title, your name and student ID) and completion of the following sections including each Task:

» Section I. Introduction (up to 300 words introducing the topic and formulating the objective of the laboratory)
» Section II. Method (description, codes and analytical solutions)
» Section III. Results (obtained results, presented using figures and tables)
» Section IV. Conclusion (one paragraph per Task summarising the achieved outcomes)

Task 1: Divergence and curl of a vector field (a) For the given vector field

A^→= re^-(r/3)r^,

find div(A^→) analytically and using MATLAB* (transformation to the Cartesian c.s. is required). Plot the vector field A^→ and the contours of the constant values of the divergence in the same figure. Use two interval values: [-1 ≤ x, y ≤ 1] and [-7 ≤ x, y ≤ 7] with 0.1 step in each axis to produce two plots. Compare the value of the divergence at points P1 = (x1, y1) = (0.5, 0.5) and P2 = (x2, y2) = (3, 2). Create a comparison table. Explain the discrepancy.

(b) For the given vector field

B^→ = re^-(r/2) φ^,

find curl (B^→) analytically and using MATLAB*. Plot the vector field B^→ and the contours of the constant values of the curl in the same figure. Use two interval values: [-1 ≤ x, y ≤ 1] and [-4.7 ≤ x, y ≤ 4.7] with 0.1 step in each axis to produce two plots. Compare the value of the divergence at points P1 = (x1, y1) = (0.5, 0.5) and P2 = (x2, y2) = (3, 2). Create a comparison table. Explain the discrepancy.

Task 2: Plot electric field and equipotential lines due to:
(a) two point charges Q1 = 1 nC and Q2 = -1 nC located at point P1 = (3, 1) and P2 = (3, 5), respectively. Verify the value of the electric potential at point P_test= (0, 0) by calculating it manually.

(b) three point charges Q1 = 2 μC, Q2 = -1 μC and Q3 = 3 μC located at points P1 = (1, 1), P2 = (1, 2) and P3 = (2, 3), respectively. Verify the answer of the electric potential at point P_test= (2, 2) by calculating it manually.

Attachment:- Fundamentals of Engineering Electromagnetics.rar