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Read and understand the 2-D solution of the Laplace's equation in Examples 6.5 and 6.6 in your text book. Then modify the MATLAB code provided at the end of the example, and use it to draw the equipotential lines as well as the flux lines on two different plots and then combine them on one single plot, for each case. Consider the following cases:
1) A constant voltage V0 = 10.
2) A variable voltage V0 = 10sin (4Πx/b), y = a, 0≤x≤b
3) A Variable voltage V0 = 5sin(Πx/b) + 0.25sin(3Πx/b) y = a, 0≤x≤b
Use a=3cm and b=6.0cm.
You are to submit a report in hardcopy format. In the report, you need to provide a summary of the analytical solution of the problem and show the steps in finding the final solution for the potential function. Then present your results in figures with an explanation to each figure andthe case considered. Finally, your complete MATLAB code should be placed at the end of the report in an appendix. Make sure your code is clear.
Modify the functions for the bisection and false-position techniques of finding a root of an equation (see below questions) so that the number of iterations can be determined and displayed. (The count should only be displayed after the loop is com..
In MATLAB, write a program to create a cell array named CArray that will hold numbers and text. Create a loop that first asks for an 'n' to be entered for a number or an 's' to be entered for a text string. If neither an n nor an s is entered, end..
a sharpening stone at rest is brought to 300 rpm over 2 mins. at that point a dull sword edge is placed against the
Determine the cost of a 4-year education, assuming that the current cost for 1 year at a state school is $5000 - Generate a table of conversions from kW to hp
Generate by measdata.m an array A withsize (365,24), containing temperature measurements for an entire year [1 January,..., 31 December], 24 hours a day [00.00h,...,23.00h].
Develop your own Matlab function for the Fixed-point method. Use the approximate relative error as your stopping criterion. The first line of your function should be function [root,froot,ea,iter] = fixedpoint(func,xr,es,maxit)
Define a function that takes two input parameters, a vector of test scores and a scalar passing grade. The function returns the fraction of passing grades as a number in the range
determine the inputs, outputs, relevant formulas
Using matlab-Write the function [M.] = suma(x) that calculates the sum for the left(M) and right
Create a new vector, named vector2, containing only the elements in the even numbered positions from vector1. For example, if vector1 is [0 1 2 3 4 5 6], vector2 should be [1 3 5].
i uploaded the requirments
You need to help on how to plot each of these vector fields - v=yi-xj and v=xi in MATLAB Programming.
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