Line Definition and 1000 Threads

Hi, I was wondering if it would be possible for someone to help me clarify a few things regarding transmission lines and transformers? For a Power Transmission line, what exactly is the mutual coupling between phases of a 3 phase line? Is this the same as the shunt capacitance and if not...

Hi, if I simulate a three phase transmission line operating with a fault across two of the phases, would the mutual coupling have any effect on the current through each of the lines, as I have calculated the fault current values using symmetrical component analysis and the values are...

Homework Statement In Exercises 45-46, show that the plane and line with the given equations intersect, and then find the acute angle of intersection between them. 45. The plane given by x + y + 2z = 0 and the line given by x = 2 + t y = 1 - 2t z = 3 + t Verbatim from Poole - Linear Algebra: A...

If there was no Sun then the Earth would move in a straight line with constant velocity. This is because the space has vacuum and there is no friction in space. This is because if you observe on Earth where there is friction we need to apply force against this friction. But in space there is...

In the problem attached, why is the integral become just the length of line cf?

< Mentor Note -- thread moved from EE to the Homework Help forums >[/color] I'm studying for a Level 3 Diploma in Electro technical science. My tutor had a hard time teaching me what I need to know in order to answer this question; Calculate the phase and line current when three resistors each...

Homework Statement Determine whether or not f(x,y) is a conservative vector field. f(x,y) = <-3e^(-3x)sin(-3y),-3e^(-3x)cos(-3y) > If F is a conservative fector field find F = gradient of f Homework Equations N/A The Attempt at a Solution Fx = -3e^(-3x)(-3)cos(-3y) Fy =...

I need to figure out if my companies pulling equipment can handle a 795 drake conductor (about 1 lb/ft) double bundled (times 2). The pulling equipment has a safe working load of 4000 lbs. We are pulling it across 16 spans with a average span of 674 feet. the towers are 115' tall. Max sag...

Homework Statement I've been given the line element given below in the relevant equations section and I need to prove that the space it represents is just the same as the 2-D Euclidean plane. Homework Equations ds^2 = a^2 \frac{d\eta ^2 }{cosh^4(\eta)} + a^2 tanh^2(\eta) d\theta ^2 Where...

Hi PF! I am very new with Latex and was building a resume using a downloaded template. What I would like to do is create a vertical line down the page. Can anyone help? The line of code that seems to create a horizontal line is...

Homework Statement Hello I was given the vector field: \vec A (\vec r) =(−y(x^2+y^2),x(x^2+y^2),xyz) and had to calculate the line integral \oint \vec A \cdot d \vec r over a circle centered at the origin in the xy-plane, with radius R , by using the theorem of Stokes. Another thing, when...

Hi, When calculating a line-line fault, I understand that the Positive and Negative Phase Sequence networks are placed in parallel with each other as shown in the first attached image, and that the zero phase sequence is excluded. Although this is connected in parallel, does it not produce a...

Homework Statement The input range of a particular sensor is from 0-6 units and it's output is modeled by the equation O = ƒ(I) = 1+2I+0.005I^2-0.00833I^3 Ideally the output should be relate to the input by the straight line equation (ISL) if the form O=kI+a A) give the law if the ideal...

Homework Statement Attached here is a diagram. My questions are, how to compute for the value of the chord? How to compute for the value of the tangential line? Please help.. Thank you in advance.

Hi guys, Here is a little puzzle I have been wondering about. I can't solve it, perhaps you can help. We know there are infinitely many real numbers on the number line. Indeed, already between 0 and 1 there are infinitely many real numbers. So if a real number is a point on the number line...

Hi everyone. I ran into a minor problem while trying to solve a problem on line integral. I suspect this question to be very straight-forward as it gave the parametric equations of the curve C. However, I am still unable to get the answer for some reason. May I have someone to point out where I...

So I am kind of confused about the role of force when calculating work. Specifically, when defining work using a line integral. There is a paragraph in my calculus book that is really throwing me off and its really bugging me so much I can't continue reading unless I fully understand what's...

Given the function f(x) = 3x / (x - 2), determine the coordinates of a point on f(x) for 3 < x < 6 where the slope of the tangent line is equal to the slope of the secant line passing through A(3, 9) and B(6, 9/2). So I found that the slope of the secant line is -1.5 (therefore slope of tangent...

Does anyone know a good algorithm for calculating the closest points/distance between two line segments? I use some pretty general code: http://geomalgorithms.com/a07-_distance.html which works in most cases but fails horribly when line segments are nearly parallel. I've been messing with the...

At what point on the curve $$y = e^x$$ is the tangent line parallel to the line $$y = 2x$$ The derivative of y is $$\frac{dy}{dx} = e^x$$ But I'm unsure how to proceed from here.

Can I perform line operations on a matrix product? For example the matrix product ABC and I know that A and C are invertible, can I row reduce to get ICI? Will the product be conserved?

Hi, I was doing a L.A question and a question arose. ( well I will write the question now, I found the answer I just can't visualize what I am doing which bothers me greatly) Find the equation of the plane that contains the line (x,y,z)=(1,0,0)+t(1,3,2), and is parallel to the line of...

Hey everyone, so for fiber optic networks we can either (in analogy) increase how fast the cars or photons move or add more lanes to increase the amount of data. What if now we use the color of the light to interpret several times more data?

I have just finished a junior-level lab assignment in which we used X-ray diffraction to determine the lattice constants of unknown materials. In the theory section of the lab write-up, it briefly explains the K-alpha doublet of the characteristic spectrum. I understand that it is the result...

Can someone please look at the diagram below and tell me how u1 is obtained. If it is through the use of m3 please explain how the gradient m3 is obtained.

Homework Statement Show that (Grad dot E) =0 in the dielectric of a coaxial line. (Hint: apply the divergence theorem to a portion of the dielectric.) Homework Equations Divergence theorem The Attempt at a Solution I think I need to show that grad dot E = p/epsilon = 0 I don't know - I'm...

Homework Statement refer to the question Homework EquationsThe Attempt at a Solution from figure b , moving to the right, we know that the wavelength increases. since e= hc/λ , so the energy diffrenece should be increases as going to the right, so i consider line 1,2 and 3 is in a specific...

Given the force (derived from a potential in planar polar coordinates) F(p,w) = 2p+sin(w)e_p+cos(w)e_w Where e_p and e_w are unit vectors How do I calculate the line integral over a circumference that is defined as: p = 2 0 ≤ w ≤ 2pi Using the definition of a line integral \int_0^{2pi} \...

Homework Statement Let F be a vector field F = [-y3, x3+e-y,0] The path in space is x2 + y2 = 25, z = 2. My parametrization is r(t) = [5cos(t),5sin(t),2] Homework Equations Line integral is the integral of F(r(t)) * r'(t) dt, where here the asterisk * is for the dot product, not normal...

I would like to install a vent stone on a 3/4" vent line. The line vents upwards of 1500 psig of stored gasous nitrogen in under 1 second. The vent stones are only rated for 300 psig, so I'd like to add an orifice just upstream to limit the exit flow rate to a point where it can handle the...

In tightening a bolt whose center is at point O, a person exerts a 180-N force on the ratchet handle with his right hand. In addition, with his left hand he exerts a 90-N force as shown in order to secure the socket onto the bolt head. Determine the equivalent force–couple system at O. Then find...

Homework Statement This is the point: (6,0,-2) Homework Equations x = 4-2t y = 3+5t z = 7+4tThe Attempt at a Solution Do I just plug in the points and see if I get matching values of t? If not, how do I go about this?

Homework Statement Birds can be seen perched on a high voltage power line yet seem unaffected by the high voltage. This is due to... A) Low resistance of the birds compared to the wire, minimizing current through the birds B) birds keeping only one foot on the wire, thus not completing a...

http://postimg.org/image/onxjqc26l/ I have found the shear stress of the inner cylinder to be 405 Pa like in the solution but I am having trouble visualizing the total moment of this stress about the center line. I was wondering if someone could explain where that d(theta) in the moment...

Could someone please check my work? Thanks :) A cyclist rode east for 1.0 x 10^2 m with a constant velocity of 25.0m/s. She then accelerated down a hill, and 5.0s later reached the bottom of the hill with a velocity of 50.0m/s. a)How long did the cyclist ride before reaching the hill...

for the line y=4x-2 there is one perpendicular line of which will enclose a triangle on the lines and the values of the y-axis whose area is 8. What is the equation of this line? Well, I chose the x value to be the height of the triangle and that would make the base $$B=(4x-2)+2+\frac{1}{4}x$$...

Homework Statement On pages 65-66 of Calculus An Intuitive And Physical Approach, Mr. Kline discusses Inclinations of lines. In illustration 3A-7 he uses the substitution method to create a proof. But there is one step that I think he leaves out. He shows the equation tan A = tan(180 - B) =...

I have been told that if the line connects breaker to breaker, it is considered to be radial; but, this doesn't make sense to me. If a line is connected by two feeders then there would be two sources of power, hence "Radial". I'm not sure if I'm missing some minute detail that makes the whole...

Homework Statement At time t=0, a particle is located at the point (1,2,3). It travels in a straight line to the point (4,1,4), has speed 2 at (1,2,3) and constant acceleration 3i-j+k. Find an equation for the position vector r(t) of the particle at time t. Homework Equations The...

Hi, I'm working on a project to make a fault locating system on HV and MV (11kv to 220kv, 33kv first). I'm try to make a device that can be directly mounted to the line (Mount on live bare conductors) to detect the fault in the power line and send a radio signal to devise mounted on the pole...

"In a private project of mine, I have come across a challenging problem. I have 3 points: A, B and C. A is the motionless point of origin and C is the orbital point of destination. B is the linear transmission between the two; it must intersect with the changing position of C after leaving A...

Homework Statement Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Homework Equations x = 1+2 \sqrt{t}, \quad y = t^3 - t, \quad z = t^3 + t, \quad (3, 0, 2) The Attempt at a Solution I began by...

I have a rotated ellipse, not centered at the origin, defined by x,y,a,b and angle. Then I have a segment defined by two points x1,y1 and x2,y2 Is there a quick way to find the intersection points? I used wolfram alpha equation solver, I tried to insert the equation of a line into the one of a...

So, as i understand, the geometrical meaning of this type of integral should still be the area under the curve, however, I really do not see how you can obtain each infinitesimal rectangle from the dot product. I have understood the typical work example, that is, the line integral as the sum...

Homework Statement Determine the magnitude of the projection of force F = 700N along the u axis. Homework Equations Cosθ = (A • B)/(||A|| * ||B||) The Attempt at a Solution I'm guessing I have to use the above equation, but my problem is finding the B vector. A is easy enough...

I am not talking about Digital circuit ground bounce on PCB. How do I simulate a Ground bounce for a system that runs on 220V AC. In real field conditions, the system might be connected to different grounds. How do i replicate this in the lab. Can I have a SPDT relay between GND1 & GND2...

Homework Statement A line is inclined at equal angles to the x-, y-, z- axes and passes through the origin. Another line passes through the points (1,2,4) and (0,0,1). Find the minimum distance between the two lines.Homework Equations d=|(r2-r1).n(hat)| The Attempt at a Solution r1=i+j+k...

Say we have two functions with the following properties: f(x) is negative and monotonically approaches zero as x increases. g(x,y) is a linear function in x and is, for any given y, tangent to f(x) at some point x_0(y) that depends on the choice of y in a known way. Additionally, for any...

I would like to think that I understand how 4-velocity is defined in special relativity. It makes sense to me that one takes a differential segment of the world line ##(dt, d\vec x)## and translates it into a frame in which its spatial component disappears, leaving only ##(d\tau, 0) =...

Please help, how do I do this? Find the parametric and symmetric equation for a line through (1,-1,1) and parallel to $x+2= \frac{1}{2}y=z-3$ So confused