3Dimensional-Electrostatics-Simulation

This is a MATLAB program to simulate Electrostatic phenomenon, particularly Coulomb's Law. We maintain a simulated 'Charge space', assumed to be an infinite homogenous insulating medium. The assumption is that every charged body in it remains stationary.

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Simulation Properties:

1. Let charge_space be a Structure Array with x_coord, y_coord, z_coord coordinates and mag magnitude as properties of the Structure, representing the simulated medium obeying the necessary assumptions of Coulomb’s Law.
2. Then, length(charged_space) gives the number of Charged particles in charge_space.
3. Let charge_space_permittivity represents the permittivity of the medium.
4. The charge_space is visualized as a 3 Dimensional Scatter plot for the Simulation.

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Prerequisites and Instructions:

1. Requires MATLAB for execution of CoulombsLaw.m script.
2. Run CoulombsLaw.m in MATLAB and call any of the Client functions menu(), calc(), plot_graphs(), plot_space() to use them as required.
3. Further instructions and detailed information about the functions are mentioned below.

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Main script CoulombsLaw.m Functions and Usage:

Client Functions that wrap the Back-end Functions (for usage):

A. The plot_space() client function plots the entirety of the charge_space and all the charges present in it in 3 Dimensional Space as a Scatter plot.

B. The menu() client function creates the "Charge Space Menu" and can be called to

1. Add charged bodies into charge_space. Positive Charges are Red and Negative are Blue.
2. Remove charged bodies from charge_space. Or 6. Clear entirety of the charge_space.
3. Generate N random charged bodies in charge_space.
4. Display information i.e. Location and Magnitude of any charged body.
5. Plot the charge_space as a 3-Dimensional scatter plot and Exit out of Charge Space Menu.

C. The calc() client function creates the "Calculate Values with Coulomb's Law Menu" and can be called to

1. Change permittivity, i.e charge_space_permittivity of charge_space.
2. Calculate net force on any charge in charge_space. 3 Calculate force between any two charges in charge_space.
3. Calculate force between any two temporary charges defined by parameters.
4. Calculate net Electric Field strength in any point in charge_space.
5. Exit out of Calculate Values with Coulomb's Law Menu.

D. The plot_graphs() client function can be used to graphically test the relationship of the parameters with the force.

Back-end Functions:

A. Charge Space Manipulation

1. clear_charge_space(): Removes all charges from Charge Space.
2. charge_place(): Creates a charge at coordinates pointed by parameters x, y, z in charge space of magnitude given by parameter mag and plots it if parameter show is 1 or [].
3. display_charge(): Display location and magnitude of charge given by parameter obj in charge space. obj can be numeric or Structure.
4. charge_destroy(): Removes charge given by parameter obj from charge space. obj can be numeric or Structure.
5. n_random_charges(): Generate number of random charges as given by parameter number.

B. Locating Charges

1. get_chargenum_bycoord(): Get the number of the Charge pointed by given coordinate parameters x, y, z in charge_space.
2. get_charge_bynum(): Get Charge object pointed by parameter charge_number in charge_space.

C. Finding physical Force and Electric Field Strength values

1. charge_pair_force(): Calculates the three Dimensional components of force on charge parameter obj by charge parameter obj2.
2. charge_net_force(): Superposition Theorem: Calculates the three dimensional components of the net force on charge parameter obj by all other Charges.
3. net_field_at(): Superposition Theorem: Calculates the three dimensional components of the net Electric Field strength at coordinate parameters x, y, z in Charge Space.

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Repository Folder Contents:

1. CoulombsLaw.m: The main MATLAB script containing all the utility and backend functions to make the Simulation work. Functions are explained above in detail.
2. CoulombsLaw.pptx Presentation prepared for the purpose of this project. Theoretical concepts explained from Ground Zero. 3. EMFT_Project.prj: Contains the project structure information. Can be ignored entirely during application.
4. examples folder: Contains example images of the things the script can accomplish.
5. resources folder: Contains the Project resources. Do not modify without expertise.
6. README.md: This Github Repository information file.
7. LICENSE: BSD 3 License information that governs the Software. Do not modify.

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Examples:

Fig: Simulation of a 3D Charge Space in MATLAB, where 3 charges were generated in

1. (10, 0, 20); Magnitude = 100 C
2. (-10, 0, 70); Magnitude = 1000 C
3. (5, 12, -7); Magnitude = -20 C

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Fig: Net Electric Field strength calculated in Charge Space at (0, 0, 0), and verified to be correct.

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Fig: Net Force calculated on Charge 3 (5, 12, -7) by the other two Charges, and verified to be correct.

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