# Charge Distributions and Electric Field Visualization in 3D / lab report

*label*Science

*timer*Asked: Feb 4th, 2019

*account_balance_wallet*$10

**Question Description**

In this laboratory experience, you will explore the concepts of charge distributions and electric field distributions in a 3-dimensional space. You will compute the electric field of various charge geometries (i.e. single charge, dipole and line distribution). You will use MATLAB as a tool for carrying out the calculations learned during the lab experience.

During this lab, you will:

- a) Understand the use of coordinate systems to represent 2D Electric Fields,
- b) Study the most fundamental charge distribution densities (point, dipole and linear),
- c) Develop basic skills in the use of MATLAB to compute the electric field produced by a single point charge confined in an arbitrary volume and compare to the results obtained by two-point charges of opposite charge sign enclosed in an arbitrary volume (i.e. electric dipole),
- d) Develop basic skills in the use of MATLAB to compute the electric field produced by a line with constant charge along the length (i.e. line charge distribution) and compare to the results obtained in the pre-lab experience,
- e) Gain knowledge about uniform electric fields and their applications. By the end of this experience, you should be able to understand the graphical representation of fields produced

by different electric charge distributions, comprehend the concept of distributed charge in two-dimensional and three- dimensional spaces and get a sense of the physical meaning of the electric field.

Objectives

- Gain an understanding of electric field produced by different charge distributions.
- Gain proficiency in the use of MATLAB to solve vector field problems.
- Gain understanding about the concepts of charge distribution, electric field, coulombs law by visualizing 2D and 3D representations of electric fields.
- Equipment and Software

- Advanced Visualization Center
- MATLAB

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