Line Definition and 1000 Threads

Homework Statement I need to write an equation for the at rest at a stoplight. Each car bumps into the one in front of it until the first car in line gets bumped. Homework Equations I found these equations for wave speed: V=√(T/(m/L)), where T is tension, m is mass, L is length and of...

Homework Statement Positive charge Q is distributed uniformly along the positive y-axis between y=0 and y=a . A negative point charge −q lies on the positive x-axis, a distance x from the origin Calculate the y-component of the electric field produced by the charge distribution Q at...

1)I am confused why do we take vectors along y-axis and x-axis in motion on a plane? What's essence of learning vectors functions. 2)And in textbooks, they have given that motion in a straight line has 2 directions only. Hope many do motion on a plane has? Please give me simple and detailed...

The following passage has been extracted from the John Stewart's English translated version of the "Sir Issac Newton's two Treatises: Of the Quadrature of Curves, and Analysis by equations of an infinite number of terms" http://archive.org/details/sirisaacNewtons00stewgoog: Here Newton...

Is magnetic field due to straight wire on the line of the wire itself zero? If yes, give mathematical proof.

Hello, I didn't know where to put my question, but I think here is the best section for it. http://im60.gulfup.com/apkrpJ.png The problem isn't that I can't solve it, I actually did but I don't understand the concept ! -- I don't remember anything from my high school stat and I didn't do...

How can I convert this system of equations : $$\frac{dz}{d\phi} = \frac{rB_z}{B_{\phi}}, \frac{dr}{d\phi} = \frac{rB_r}{B_{\phi}}, \frac{d\phi}{d\phi} = 1$$ to $$\frac{dr}{dz}, \frac{d\phi}{dz}, \frac{dz}{dz}$$

Homework Statement A transmission line has the primary coefficients R= 2 ohm/m, L=8 nH/m, G= 0.5 mS/m and C= 0.23 pF/m. Determine the lines secondary coefficients Zo, α and β at a frequency of 1 GHz. Homework Equations ω= 2 π f See uploaded formulas document The Attempt at a Solution I'm not...

Take some high voltage power line. Place a conductor between the wire and Earth ground. Current goes to ground. Why? I understand what is voltage, resistor, circuit etc. I do know that the wire is at a higher voltage than the ground. But isn't Earth also a kind of huge resistor? Thus preventing...

I am creating a horizontal zip line, in which a rider will be pulled with a rocket engine. Completely serious. One end of the wire will be secured to a tractor and the other to a large tree. The zip line will be made from 12.5 gauge (2 mm) galvanized class 3 200 KPSI minimum tensile strength...

Dear friends 1.What is wind span ,wight span and normal span, and what is the difference. 2. Factory acceptance test. FAT. For towers what is that meaning and what is necessary test to be require to do or check. Thanks

Hi , I'm studying transmission lines and how waves move through the device , so far I haven't delved into the maths behind it as I have been trying to get an overview of it.So far I have seen the effects when there is an open circuit , shorted and matched impedance loads. The example I saw...

Homework Statement Find the field line of \vec{E}(\vec{r}) = \frac{m}{4 \pi r^3} (2 \cos\theta, \sin\theta, 0) through the point (a, b, c) (Spherical coordinates). m is a constantI know the answer, but I don't see what I do wrong. The Attempt at a Solution \frac{d\vec{r}}{d \tau} = C...

Hi all, I'm looking to get started with a multitouch project using stereovision. Since I'm only interested in 2D for the moment I'm looking for a cheap line scan camera that I could use for the project. Ideally with an Arduino or that I can directly plug in the computer. The idea is to put 2...

Hello dears i want to know which is best for 132kv transmission line. advantages and disadvantages as in prectical use. but also consider economical factor wisely . what you chose if you are in my place... ACSR Conventional AAAC ( All Aluminium Alloy Conductors ) ACCC Aluminum Conductor...

Homework Statement Two circular lines of charge are centred at the origin and lie on the xy plane. The inner loop has a radius of a and a total positive charge q. The outer loop has a radius of b and total negative charge -q. (a) Use Coulomb's Law to calculate the electric field on the z-axis...

What's the line integral of sphere? Is it possible to get the line integral in three dimensions? What kind of line are we integrating?

Homework Statement Evaluate ∫C F⋅dr along the line segment C from P to Q F(x,y) = 8 i + 8 j ; P (-4,4) , Q (-4,5) Homework EquationsThe Attempt at a Solution I believe I got most of the work done but I am have trouble finding the limits of the curve. What I have done was create a...

Homework Statement The velocity of a particle moving in positive x-axis is according to the relation v= x^2 , then it's acceleration is A) 8x^2 B) 8x^3 C) 4x^2 D) 4x^3 Homework EquationsThe Attempt at a Solution

I'm having a hard time solving this problem and was wondering if someone could explain to me how to solve it. Math isn't my strong point so be as noob friendly as possible...Thanks! So the function is f(x)=4x2+2x , a=-2 First I'm supposed to complete the square and graph it(Yes I looked online...

Homework Statement A 1.0 kg particle is moving at a constant 3.5 m/s along the line y=0.62x +1.4, where x and y are in meters and where the motion is toward the positive x and y directions. Find its angular momentum about the origin2. Attempt at a...

When we define line element of Minkowski space, we also define the metric tensor of the equation. What actually is the function of the tensor with the line element.

How should I gauge noise on a RS485 line? (2 equal and opposite data lines and a shield line) I tried connecting a Oscope. Persumably however the same noise is appearing on all 3 lines. So if I attach my oscope probe to 1 of the data lines, and the ground to shield all the noise will be...

Let's say i have a set of lines (denoted in the image as connected at the blue dots) and a rectangle with maxs and mins known (denoted with orange dots). I want to project from the mins of my rectangle such that i get a point on the line below it (the green dot). Furthermore, this needs to be...

hi friends. I am new for transmission 132kv project. For transfer 100MW power about 95km line. 1. I want to know what is short ckt current and how to calculate it. 2. load breaking current Your kind help required thanks.

Figure 2-24 shows a red car and a green car that move toward each other. Figure 2-25 is a graph of their motion, showing the positions xg0 = 270 m and xr0 = -35 m at time t = 0. The green car has a constant speed of -20 m/s and the red car begins from rest. What is the acceleration magnitude of...

The line element is defined as How is dx2+dy2+dz2 be written as gijdqidqj. Is some sort of notation used??

Hello, I'm currently engaged on a project where I need to design a 3x3 rectangular patch antenna array operating 1.5~5.8GHz on FR4 h=1.6mm substrate. I've studied the single element design and some TL matching techniques like the quarter wavelength but I can't put together a 3x3 elements...

Hello. I've uploaded similar question before but I think it is time to make this clear. I've seen the attached one during reading of grounding. In the picture, the body of the power line filter (or ground of the filter) is connected to inner surface of Faraday cage and signal ground is...

Hello I'm now studying transmission line theory. I got to know how impedance matching between characteristic impedance of transmission line and electrical load is important to achieve maximum power transfer and minimize power reflection which causes danger for the system. But the textbook...

Homework Statement Flat space-time in polar coordinate is considered. The line element is ds2= -dt2+dr2+r2(dθ2+sin2θdΦ2) The actual answers are given below, but I can't come up to them. Need urgent help. Homework Equations dA = √g11g22 dx1 dx2 dV = √g11g22g33 dx1 dx2dx3 The Attempt at a...

The problem is as follows The perpendicular Distance ON from the origin to line L is p, and ON makes an angle α with the positive x-axis. Show that L has the equation x*cosα + y*sinα = p What I've done First I made a drawing from the text and I assume ON and P are the same thing. Then I...

I have an argon line used for atomization and backfilling a VIM melting chamber. If there is a leak on the argon line (at a fitting, valve, etc), will this leak actually draw in air when gas is turned on and flowing through pipe creating a mixture of argon and air?

So, according to this figure :http://aleph0.clarku.edu/~djoyce/java/elements/bookIII/propIII23.html We cannot have similar segments of circles and unequal ones be built on the same side of the same straight line. My question is : Can we build similar segments of circles but unequal ones ? (It...

The title does not say much. But my actual question is as follows. Let us suppose a line ax+by=0. This means A.B = 0 with A and B being vectors, where A = [a,b] and B = [x,y]. Therefore, A is perpendicular to B. Now my question is if A is also perpendicular to line ax+by=0 (I'm not sure if this...

If even feasible, what minimum type/size cable reqd with trolly attached that would have maximum 1000 lb load suspended from it, that would be pulled up, from atop, by second separate free line for the following location; 1,000 foot elevation change to where base anchor point was, horizontally...

Hello, I have got a three phase motor connected in delta that is controlled in six step commutation. When I measure the line current of one of the phase under oscilloscope, I got something like this : Can anyone tell me why the amplitude of the current isn't 3.1A and -3.1A? What I got here...

Homework Statement [/B] Find the cross product equation for the line L that forms the intersection of the planes: A: 2x - y + 2z = 1 and B: x + y - 2z = 1. Homework Equations General equations for planes A and B: (a, b, and r are vectors). A: a dot r = 1 B: b dot r = 1 r = xi + yj + zk ...

Can anyone explain why a photon seems to travel in a perfectly straight 3D line over unimaginable distances? What exactly defines a straight-line? The concept appeals to Cartesian coordinate space. Is there any way to quantify the straightness of a photon path? Or, does the path taken by...

I just did this following exercise in my text If C is the line segment connecting the point (x_1,y_1) to (x_2,y_2), show that \int_C xdy - ydx = x_1y_2 - x_2y_1 I did, and I also noticed that if we put those points into a matrix with the first column (x_1,y_1) and the second column (x_2,y_2)...

Homework Statement I would like to define pressure loses through transmission line to the transducer. In transmission line I have a reducing union, filter and L pipe. How I can find this differences? In case of frequency my reducing union reduce pipe diameter 6 mm to 3 mm how i can determine...

Hello,Suppose I have a vector equation: \begin{cases} x=0+10t\\ y=0+10t\\ z=0+10t \end{cases} Which forms the symmetric equation \frac{x-0}{10}=\frac{y-0}{10}=\frac{z-0}{10} Now, I know the symmetric equations can be split up so that you can form the two planes whose intersection yields the...

Hello. I 'm looking for a line amplifier schematics working around 1.5 GHz to compensate coaxial ( RG59/CU) loss behind a L.N.A

This is an example at the beginning of the section on the Fundamental Theorem for Line Integrals. 1. Homework Statement Find the work done by the gravitational field \vec{F}(\vec{x}) = -\frac{mMG}{|\vec{x}|^3}\vec{x} in moving a particle from the point (3,4,12) to (2,2,0) along a piece wise...

This is a problem from a section on Line Integrals in my Calculus Textbook, I haven't studied any physics relating to E&M yet, and the solutions manual only gives solutions for odd numbered problems. Sorry, if I'm posting in the wrong forum, I hope I'm not. 1. Homework Statement A steady...

A straight line in 3 space can be described as A + Bt, where A is a position, B a direction, and t a scalar parameter. CAD surfaces can be represented in terms of polynomial functions of two variables (u and v) with the highest degree term being u^nv^n. The intersections can then be obtained as...

Hello, I would like to understand why "bushings" that are used as insulation for high power electric cables in transformers, and which are often made out of porcelain or glass, I would like to understand why they have this form of "skirts" ? Why aren't they just as a simple cylinder?

Can a line be parallel to itself?

When wave is reflected back means power is reflected back and not all power is consumed at the load. But I am thinking if I placed the load at the position of Vmax (of the stationary wave formed by the incident and reflected wave). Isn't that all the power will be dissipated at the load, so...

http://news.nationalgeographic.com/2015/05/150315-quadruple-quasar-mystery-space-astronomy/National Geographic quoting Dr Hennawi, the lead author of the Science paper, says it is a ten million to one chance to find four quasars so close together. How much more unusual is it that in the first...