What is Line: Definition and 1000 Discussions

Magnetic field lines around multipolar magnets get quite complex. There are local field vectors and field gradients in the x, y, & z plane. In the following diagrams I have tried to illustrate field lines around a centrally (half and half) charged disc magnet. The top diagram represents the...

Homework Statement Let T be the tangent line at the point P(x,y) to the graph of the curve ##x^{\frac{2}{3}}+y^{\frac{2}{3}}=a^{\frac{2}{3}}, a>0##. Show that the radius of curvature at P is three times the distance from the origin to the tangent line T.Homework Equations R=1/K ##R=\frac{\left...

5/(x-1) - (2x)/(x+1) - 1 < 0 How does one solve this inequality?

(3x - 5)/(x - 5) > 4 How does one complete this problem?

Homework Statement F[/B]=(y + yz- z, 5x+zx, 2y+xy ) use stokes on the line C that intersects: x^2 + y^2 + z^2 = 1 and y=1-x C is in the direction so that the positive direction in the point (1,0,0) is given by a vector (0,0,1) 2. The attempt at a solution I was thinking that I could decide...

Homework Statement Does the line through the points (−1, −1, −2) and (1, 2, 1) intersect the unit sphere? If so, find the point(s) of intersection. Homework EquationsThe Attempt at a Solution do i also use r = r0 + vt but instead , use equation of sphere this time? so it would be: v=<2,3,3>...

Homework Statement Where does the line through (−2, 3, 2) and (3, 5, −1) intersect the plane x + y − 2z = 6? Homework EquationsThe Attempt at a Solution i used r = r0 + tv the vector between the 2 given points is <5,2,-3> r = (-2,3,2) + t<5,2-3> x = -2 + 5t y=3+2t z=2 - 3t plugging these...

Homework Statement A closed curve C is described by the following equations in a Cartesian coordinate system: where the parameter t runs monotonically from 0 to 2π, thus defining the direction of C. Calculate the area vector of the planar region enclosed by C, using the formula: 2. The...

Hi, I am taking Calc III, but I am having a hard time understanding some of the concepts. Right now I am struggling with understanding the curvature of a line. What I have in my notes is this: Curvature second derivative (rate of change of tangent line)(rate of change w/ respect to arc length)...

Homework Statement A non conducting rod of length 2.2 m carries a negative charge of 3.8 ×10^-7 spread uniformly over it's length .What is the magnitude of electric field near the mid point of the rod at a perpendicular distance 3.6 mm from the rod? Homework Equations E=λ/2πε0r The Attempt at...

circle: (x+2)^2+y^2=1/2 line: x+2 iv been able to find one point but can't find the other work: 2(x+2)^2 =1/2 divide by 2 on both sides (x+2)^2=1/4 square both sides x+2=.5 subtract 2 x=-3/2 i used that to find the y but that only gives me one point please help

number of fields line originating from 1 C charge is it infinity as per the following video or 1/epsilon according to http://www.topperlearning.com/forums/ask-experts-19/calculate-the-no-of-field-lines-originated-from-a-charge-of-physics-electric-charges-and-fields-81114/reply My textbook...

Some time ago I stumbled upon the integration ##\int \frac{dz}{z} ## along a line on the complex plane. I was confused because ##Ln(z)## is a multivalued function but apparently the way you do it is by only considering the principal branch from ##[-\pi,\pi]##. But I don't understand this at...

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...