Line Definition and 1000 Threads

I have a quick question about the work done concept here, especially the line integral part of it. So I understand the fact that the work done from getting from point A to B is: \int_{a}^{b} \vec F \cdot d\vec r . However, within the context of electric fields, when we define electrostatic...

Hi, any of you guys have experience paying out conductors leaving the OPGW later on? any idea or procedures needed so that during OPGW paying out stage later on it will not be damaged by the existing conductors. Mentor Note -- Adding link to information about OPGW...

A link to this video popped up on my Twitter feed this morning: link The person who posted it asked for guesses as to what it was. I guessed; "Baby Deccan Traps?". She said "No." Then she posted the explanation: Maharashtra: Panic of volcanic lava trigerred after Beed locals witness rocks...

I'm trying to plot impedance locus of transmission line in Matlab/Simulink. I have readed some document and thay have plot result like that : I'm trying to calculate impedance when system have short - circuit fault, and plot it on R-X diagram, but i can't get their *red - dot* result like those...

hi can you tell me these equations: A = 6*(f2-f3)/z3+3*(d2+d3); % cubic fit B = 3*(f3-f2)-z3*(d3+2*d2); z2 = (sqrt(B*B-A*d2*z3*z3)-B)/A; % numerical error in MATLAB fmincg.m...

sz+tz*+r=0=say w so w* = s*z* + t*z + r*=0 Now , w+w* = (s+t*)z + (t+s*)z* + r+r* = 0 = p*z + pz* + k = 0...eq(1) ( k is a constant or twice real part of w) which is in complex straight line equation form i.e ab* + a*b + c = 0 ( a,b are complex number and c a real number. Now, again...

Let ##(x_1,y_1)## and ##(x_2,y_2)## be the point where the rods intersect the ##x,y## plane. I know that on any given point there will be the superpositions of ##E_1=\frac{2\lambda}{4\pi \epsilon_0}\frac{1}{(x-x_1)^2+(y-y_1)^2}\hat{r}_1## and ##E_2=\frac{2\lambda}{4\pi...

Howdy all. The typical image of a three phase electrical system involves 3 sine waves, phase shifted 120 degrees. These sine waves each, individually, represent the 'phase voltage,' which is to a common neutral in a wye configuration. In this wye configuration the line to line voltage is...

I'm trying to draw a quadrilateral in matlab. I has 4 line equations. Can i draw that polygon, using line equations ? I knew MATLAB can draw polygon from coordinates, but i don't want to use it.

Hello, I am trying to transmit radio signals across a distance of just under 1km to the receiver. The receiver is in line of sight with the transmitter. I just need to send the data in the most direct way possible, almost like shining a laser through the air. I was wondering what type of antenna...

Homework Statement [/B] Use MATLAB to find the current flowing through 2Ω resistance Homework Equations - The Attempt at a Solution Here's my work : The DC voltage sources won't connect to the resistances , I get a red dotted line. Where am I doing wrong ? Your help is appreciated .

Recently, after work beers with a colleague went down a bit of rabbit hole as he attempted to "red pill" me on a couple of topics. One of those happen to relate to the below self-published paper, which was written by someone he went to college with...

Find the region bounded above by the line y = 4, below by the curve y = 4 - x², and on the right by the line x = 2, about the line y = 4. The Correct answer was: 32pi/5 I integrated from 0 to 2 of pi [(4)² - (4 - x²)²] and got the answer of 224pi/15. I tried every other possible ways and...

Hi all, this is my first thread! I am having problems trying to find the way of drawing a line which is tangent to a circle and intersects another circle making a 30º intersection. Let´s say I have circle A with coordinates 479183.87, 4365099.87 (x1,y1) and a radius of 27780m. I have a second...

I'm new to prorgramming . I have been working with Fortran90 for my physics project and I have to read data from a file. I need to find a specific matrix and then print the said matrix onto a different file and diagonalize it. How do I read the matrix that follows a specific line from a file ...

Homework Statement ABC is an isosceles triangle such that AB = AC A has coordinates (4, 37) B and C lie on the line with equation 3y = 2x + 12 Find an equation of the line of symmetry of triangle ABC. Give your answer in the form px + qy = r where p, q and r are integers. Show clear...

Homework Statement The diagram shows parallelogram ABCD. (you don't really need the diagram) vector AB= (2 above, 7 below) and vector AC= (10 above, 11 below) The point B has coordinates (5, 8) (a) Work out the coordinates of the point C. The point E has coordinates (63, 211) (b) Use a...

Homework Statement Let ##A## and ##B## be two given points, ##l## a given line. Find the point ##P## on ##l## such that ##|AP-PB|## is a maximum. Homework EquationsThe Attempt at a Solution Suppose that the line ##l## and the line that goes through ##A## and ##B## (call it ##\ell_{AB}##) are...

Homework Statement Figure shows a 50 Hz, high-voltage, transmission line. The relationships between the sending and receiving end voltages and currents are given by the complex ABCD equations: where 'S' stands for sending-end and 'R' stands for receiving-end (a) Given the parameter values...

Preface: I also posted this question on mathoverflow(link: https://mathoverflow.net/questions/324110). A bit surprising for me that it has gotten votes to close. Mostly because all the dozen or so questions (after my very first one) that I have asked there have been received positively. But...

Homework Statement A star moves away from us at a speed of 10 km / s. the angle between the speed direction and the line of sight are 30 °. What is the observed wavelength of the Hα line? Then we suppose the observer is also moving at a speed of 20 km / away from the star. What is the observed...

Hi everyone, I'm trying to create a sequence that evaluates r for i= 1 to 10 and 100 to 110 ...N (evaluate 10 skip 90 repeats till N). If python has a GoTo function, I would've used it to return the previous line to repeat. But I couldn't find a function like that anywhere on the internet. 1...

Hi all, I’m having some trouble finding a minus sign in a standard calculation I have been doing. I am trying to show that if there is no enclosed current around the example loop in the enclosed jpeg, the four piecewise paths add up to zero (for the line integral part of Amp’s law). For this...

Homework Statement Find the electric potential of an infinitely long cylinder shell of radius ##R## whose walls are grounded, when in its interior a line charge, parallel to the cylinder, is placed at ##r=a## (with ##a<R##) and that has a lineal charge density ##\lambda##. Homework Equations...

Homework Statement This problem is from V.I Arnold's book Mathematics of Classical Mechanics. Q) Show that every differential 1-form on line is differential of some function Homework Equations The differential of any function is $$df_{x}(\psi): TM_{x} \rightarrow R$$ The Attempt at a Solution...

Homework Statement (a) State what is meant by a ‘distortionless’ and a ‘lossless’ transmission line.(b) A transmission line has the primary coefficients as given below. Determine the line’s secondary coefficients Zo, α and β at a frequency of 1 GHz. R = 2 Ω/m L = 8 nH/m G=0.5 mS/m C=0.23...

Homework Statement a) A point charge + q is placed at the origin. By explicitly calculating the relevant line integral, determine how much external work must be done to bring another point charge + q from infinity to the point r2= aŷ ? Consider the difference between external work and work...

Well, I've been trying to design a microhydro power project, and I contacted a supplier on Alibaba and we're a bit at odds about the recommended transmission voltage, I'd like to go with 480V and a transformer back down to 120/240V on the other end, their 'engineers' say this isn't necessary and...

Find the slope of the curve at the given point} $2y^8 + 7x^5 = 3y +6x \quad (1,1)$ Separate the variables $2y^8-3y=-7x^5+6x$ d/dx $16y^7y'-3y'=-35x^4+6$ isolate y' $\displaystyle y'=\frac{-35x^4+6}{16y^7-3}$ plug in (1,1)...

Homework Statement An electrostatic field ## \mathbf{E}## in a particular region is expressed in cylindrical coordinates ## ( r, \theta, z)## as $$ \mathbf{E} = \frac{\sin{\theta}}{r^{2}} \mathbf{e}_{r} - \frac{\cos{\theta}}{r^{2}} \mathbf{e}_{\theta} $$ Where ##\mathbf{e}_{r}##...

I have just started my masters in civil engineering and at the same time I have received a job interview from a construction company that I think really like me. I don't have any official offers. My career goal is to be involved with the structural design/analysis industry. However, the company...

Greetings… I requested some books that deals with the different interpretations of QM almost a year ago and I read lots of them. My favourite was Laloe's (so whoever recommended it, extra thanks for you). I noticed something interesting in the Bohmian mechanism, a common misconception if I may...

Homework Statement I noticed that for a line parallel to z axis the equation is (x-a)/0 = (y-b)/0 = (z-c)/k = t. Homework Equations Any 3d geometry equations The Attempt at a Solution I can't quite grasp how to visualize this, also I can't see any constant like a 2d line parallel to x-axis...

This is not homework. I am reading a book: "The art of infinite: The Pleasure of Mathematics" and pages 119-120 give a proof of the Euler Line theoram: the circumcenter, centroild and orthocenter of a triangle are always colinear (see the attached files). 1. Homework Statement Page 119 shows...

From my interpretation of this problem (image attached), the force applied to the point charge is equal and opposite to the repulsive Coulomb force that that point charge is experiencing due to the presence of the other point charge so that the point charge may be moved at a constant velocity. I...

Homework Statement If the plane 3x+y+2z+6=0 is parallel to the line (3x-1)/2b = 3-y = (z-1)/a then 3a+3b is? Homework Equations angle between two lines=90 degree when l1l2+m1m2+n1n2=0 where l,m,n are direction ratios...(i) The Attempt at a Solution First I divided x/3 and 3-y by -1 to get the...

Homework Statement Find equation of line of intersection of planes r.(3i-j+k)=1 and r.((i+4j-2k)=2 Homework Equations a x b gives a perpendicular vector to a and b...(i) The Attempt at a Solution to write equation of a line r=a+tb we need a point a on the line and a parallel vector b. Taking...

Hello everyone. I am testing mathematica to work with some line integrals. I want to go from the point (0,0) to (2, 3) over a straight line. I do it with 3 different parametrizations. The problem is that each one offers me a different result. The original problem is a two dimensional gaussian...

Homework Statement A wire carrying a current I in the positive x direction is located along the x axis. The wire is of finite length and is located between x = -L and x = L. Find the magnetic field at a field point located a distance a away from the wire. Homework Equations Biot-Savart law...

Homework Statement Homework EquationsThe Attempt at a Solution I have posted the whole solution so it is more complete, but I really only need help with part c (I think) My output power is higher than my input power, I'm not sure where I'm going wrong

Engineering has taught us that unequal impedances between feed line and antenna feed point will result in return reflections along the feed line back to the source. The mixing of the forward and reflected waves cause nodes which consist of variations min and max voltages along the line...

Homework Statement Suppose a line is given, say (x-3)=(y-2)=z in Cartesian form and we are supposed to find a point on it which is at a distance say, 6 units from a given arbitrary point (1,2,3). 2. Relevant tedious methods 1) write line in vector form then equate modulus of vector between...

Homework Statement [/B] Write vector and parametric equations for the line that goes through the points P(–3, 5, 2) and Q(2, 7, 1). Homework EquationsThe Attempt at a Solution First I find the direction vector for PQ. PQ=Q-P = (2,7,1)-(-3,5,2) =[2-(-3),7-5,1-2] =5,2,-1 PQ= (5,2,-1) Now I...

Preface to post: Through this post I am going to be referring to line 1 and line 2. When I write about line 1 and line 2, I am writing about electrical leg #1 and electrical leg #2 respectively. Perhaps electrical engineers are used to calling the lines of electrical power in a residence...

I'm trying to understand how I can mathematically describe a particular situation in order to calculate what I should expect to read on an oscilloscope. Let's say I have a signal generator that is generating a 1MHz sinusoidal signal 1Vpp. The source impedance of the signal generator is 50ohm...

Homework Statement A particle of mass m in one dimension has a potential: $$V(x) = \begin{cases} V_0 & x > 0 \\ 0 & x \leq 0 \end{cases} $$ Find ##\psi(x)## for energies ##0 < E < V_0##, with parameters $$k^2 = \frac{2mE}{\hbar^2}$$ and $$\kappa^2 = \frac{2m(V_0 - E)}{\hbar^2}$$...

The cusp of the tractrix is on the y-axis. I have been studying Sreenavisan et al (Mechanism and Machine Theory 45 (2010) 454–466) Email me for copy, if needed. What I need is the equation of a tractrix with the hitch point not on the x-axis but on a line below (y=-mx). Any help would be...

A cable of resistance 12 Ohm carries electric power from a generator producing 250 kilowatt at 10,000 volts. Calculate the current in the cable. Solution using P=VI I=25A but using P=I^2R 250000=I^2×12 I =500/root 12 Amps What is the reason for the different...

Hi, I'm stuck on a homework problem in my Calculus III class. I solved 3a really easily, but 3b is giving me a lot of trouble. I know that to find the tangent line, I first have to find the slope, which is represented by the vector: <3cos^2(t)(-sin(t)), 3sin^2(t)(cos(t))>. I know the formula...