Recent content by clive
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Expansion of a plane wave in spherical waves
I have to expand a plane wave in spherical waves by using e^{i\vec{k}\cdot\vec{r}}=\sum_{n=0}^{\infty}i^n (2n+1)P_n(cos \theta) j_n(kr) I wrote a MATLAB code (pasted below) in order to check this by plotting the two sides of the eq above. The graphs are similar but different. I do not know...- clive
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- Expansion Plane Spherical Wave Waves
- Replies: 4
- Forum: Advanced Physics Homework Help
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MATLAB MATLAB project to decrypt messages
Just replace any occurrence of '7' in p with ' ' before disp(p): for i=1:numel(p) if(p(i)=='7') p(i)=' '; end- clive
- Post #2
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Graduate How to Calculate Magnetic Field Strength of Helmholtz Coils?
In the numerical approach you do not need those elliptic integrals. You just consider each loop as a collection of small tail-to-tip oriented segments and sum the individual contributions at each point (of interest) of the space: H_i=\frac{I\,\vec{dl}_i\times \hat{r}_i}{4\pi r_i^2}- clive
- Post #7
- Forum: Electromagnetism
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How do I specify boundary conditions in Femlab for a circular system?
I think you should give more details about your specific problem but anyway, you have to look for internal BC in your software. If this is not possible, just replace the disk with a donut whose internal radius is very small. In this way you will be able to apply regular BCs near the center of...- clive
- Post #5
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Graduate How to Calculate Magnetic Field Strength of Helmholtz Coils?
Here is an analytical solution: http://www.netdenizen.com/emagnet/offaxis/iloopoffaxis.htm If not, do it numerically...(and you do not need those elliptic integrals any more)- clive
- Post #5
- Forum: Electromagnetism
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How Can I Read and Write Matrices in GSL?
Function: double gsl_matrix_get (const gsl_matrix * m, size_t i, size_t j) This function returns the (i,j)-th element of a matrix m. If i or j lie outside the allowed range of 0 to n1-1 and 0 to n2-1 then the error handler is invoked and 0 is returned. Function: void gsl_matrix_set...- clive
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- Forum: Programming and Computer Science
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LaTeX Solving Latex makebst Numeration Problem - Clive
Nevermind. Just figured out: \makeatletter \renewcommand \@biblabel[1]{\bf{#1}.} \makeatother- clive
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- Forum: MATLAB, Maple, Mathematica, LaTeX
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LaTeX Solving Latex makebst Numeration Problem - Clive
Hi all, I have to change the bibliography style in an "article"-type tex document from [1] Author1, Author2, etc... [2] Author3, Author4, etc. ... to 1. Author1, Author2, etc. 2. Author3, Author4, etc. ... and I want to create my own .bst file using "latex makebst" command...- clive
- Thread
- Latex
- Replies: 1
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Undergrad How Do You Convert 290mcd to Candelas/Meter Square?
If "mcd" means milicandela then a "conversion" between these two quantities is impossible. I think you have to compute the luminance E (in cd/m^2) at a given point on a surface from a source with a given luminous intensity I (in cd). If this is the case, the equation you need is... -
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Finding an electric field from a radio station
The energy emitted by the source in dt is Pdt where P=500\,kW. At R=25\,km from the source this energy will be uniformly distributed in a spherical shell of radii R and R+dR. The volume of this shell equals dV=\pi R^2 c dt where c is the speed of light. Now you have to know that the energy...- clive
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- Forum: Introductory Physics Homework Help
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Mathematica Mathematical derivation of the Faraday cage from the Maxwell Equations
You can "feel" what's happen with the following 1-D example: \frac{d^2 V}{dx^2}=0 in [a,b] and V(a)=V(b)=V_0. (the potential between two infinite metallic plates). From the first Eq. you have V(x)=mx+n and after imposing the boundary conditions ma+n=V_0 mb+n=V_0 you get m=0 and...- clive
- Post #12
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Mathematica Mathematical derivation of the Faraday cage from the Maxwell Equations
If the Astronuc's demonstration didn't satisfy you, then try to solve the Laplacian equation \bigtriangledown^2 V=0 with V=V_0 on the boundary (using Femlab for example). This Eq. is obviously derived from Maxwell Eqs... The "counterexample" V(r)=r you proposed is wrong because it does...- clive
- Post #10
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Solving Properties of Matter Problem: Steel Ring Expansion Force
For a very small portion of the ring (dl=Rd \theta) you have the static equilibrium condition: 2 T sin(\frac{d \theta}{2})=N where N is the force between the ring and the cylinder. Now you use sin (\frac{d \theta}{2}) ~= \frac{d \theta}{2} and T from the Young law for the small element dl...- clive
- Post #3
- Forum: Advanced Physics Homework Help
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Max Tension Force on Horizontal Rope Pulling 10kg Wood Sled
The tension you need is F (in my eqs). F_f (the frictional force) and F (the tension in the rope) are different. You have to find F from the eq. below: \frac{F-F_f}{F_f}=\frac{m_{sled}}{m_{box}} and you'll obtain the tension in the rope.- clive
- Post #6
- Forum: Introductory Physics Homework Help
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How do I determine acceleration and speed from a force vs. displacement graph?
Hi M&M The acceleration is given by the second law a=\frac{F}{m}. You can divide the F(x) graph by m and you obtain a(x). As for velocity you can apply v=\sqrt{2ax} (Galilei) until x=12 m. Beyond this limit the acceleration is decreasing linearly so you can use the same Galilei's law...- clive
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- Forum: Introductory Physics Homework Help