Line Definition and 1000 Threads

while drawing the dc load line , , we take VCE = 0 and mark it as saturation point but but in saturation state VCE is very small but not zero..! I actually want to make clear that whether its a fact or is it just an assumption to find out saturation point..?? similarly for the cutoff point we...

Homework Statement Starting from rest, a particle moves along an x-axis from point A to point B with constant acceleration a1 = 2.20 m/s2 through displacement d1 = 500 m. Then it slows at constant acceleration a2 through displacement d2 = 300 m from point B to point C where it is again at...

Hi guys, I was playing around with conductor configurations and observed this phenomenon. Mind you these are for the High voltage transmission (138 kV) lines that span kms. So apparently, the orientation of the conductor relative to North will change the ampacity of the transmission line. Can...

Homework Statement Problem statement: An infinitely long, straight line has a uniform charge distribution of ρ C/m. Use Gauss' law to find the electric field at a point r m away from it. Solution: Consider a cylindrical volume of height ℓ with circular cross sectional area of radius r...

Homework Statement Find the mutual inductance between a coil with N loops and an infinite straight line with current I on its axis. Homework Equations M12 = M21 = flux 1/I 2 = flux 2/ I 1 emf = -d/dt flux i = emf /R R = eta*l/S The Attempt at a Solution I have done this...

I know it's long but I really need help. I'm terrible at math. Anyway, given only a start and end point, I'm trying to draw a line by creating a number of points at regular intervals between those start and end points. This is what I have so far (it's from C# code so I hope it's not too hard to...

Is there a formula that will give me the equation for the line of best fit of a data set, the line being a 6th degree polynomial? I know how to graph the table and add a line of best fit while showing the equation but as far as I know the equation cannot be used in the given format in excel. If...

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: V_S = V_R (A_1+jA_2)+I_R (B_1+jB_2) I_S = V_R(C_1+jC_2)+I_R(D_1+jD_2) where 'S' stands...

Can two objects have same world line in Minkowski Space, if they are having same speeds ?

Hi all, Firstly, hope I'm posting in the right place! I'm working with a company that works with air filters. Without going into specifics etc, I have 4 data points: | x | y | |0mm|21%| |150mm|59.6%| |300mm|83%| |550mm|90%| where x is Filter Height and y is Filtration...

Hi Here is the number for the measured frequency for hydrogen 1s to 2s transition: 2 466 061 413 187 035 Hz By way of interest, what is our most accurate theoretical calculation of this number? I've tried the ordinary Bohr formula and it is only accurate to about 4 places. I'm also...

Homework Statement ##\nabla{F} = <2xyze^{x^2},ze^{x^2},ye^{x^2}## if f(0,0,0) = 5 find f(1,1,2)Homework Equations The Attempt at a Solution my book doesn't have a good example of a problem like this, am I looking for a potential? ##<\frac{\partial}{\partial x},\frac{\partial}{\partial...

In need of help. Ill write it is how it is in the textbook. Find the equation of the line having gradient 3/4, that passes through 7,11. Express your answer in the form i) ax + by + c =0 and ii) y = mx + c As one point and the gradient are known, use the formula: y - y1 = m(x-x1)...

Homework Statement ##\int_\mathscr{C} \vec{F}(\vec{r})\cdot d\vec{r}; \vec{F}(x,y,z) = <sin z, cos \sqrt{y}, x^3>## I am assuming ##\vec{r}## is the usual ##\vec{c}## used, so maybe this is where I am incorrect The Attempt at a Solution C goes from (1,0,0) to (0,0,3) Parametrizing...

find the values of k and m so that the line x+1/k = y-2/m = z+3/1 is perpendicilar to the plane through the points U(1,3,8) , W(0,1,1) , and v(4,2,0).PLEASE HELP ME THANKS ALOT :)

I could not find a thread about this (and I hope I don't start a duplicate one :smile:). I got a mail from a friend today about this: Detection of An Unidentified Emission Line in the Stacked X-ray spectrum of Galaxy Clusters Esra Bulbul, Maxim Markevitch, Adam Foster, Randall K. Smith...

Continue reading...

[SIZE="4"]Definition/Summary In Euclidean coordinate geometry, a Line usually means the whole (infinitely long) Line. (In ordinary Euclidean geometry, a Line usually means a line segment between two points.) The equation of a Line in n dimensions is a combination of n-1 linear equations...

I have had some trouble with Kleppner and Kollenkow's derivation of work in a uniform force field. As the attached image shows, all three integrals (with respect to dx, dy, dz) are evaluated as follows: $$\int_{x_a, y_a, z_a} ^ {x_b, y_b, z_b}$$ . I am not sure how to proceed with such limits...

I have an object (A) at some altitude above the Earth ellipsoid, and a point (B) on the surface of the Earth. Since you're not confined to the surface of the Earth as you travel from A (at altitude), to B, I'm getting confused. If I were to create a (Cartesian) vector pointing from object...

Homework Statement Hi! I am doing some problems to practice for a math competition, and I'm wondering if I did this correctly. I don't really have an answer sheet, so I have no way of knowing whether I'm right. If you would please review it, that would be cool! It reads: There are...

Hi All, Thank you for taking your time to look at my question. I am a web developer and have created a online system that produces graphs but cannot understand how the line of best fit (trend line) is calculated. On paper its easy, just draw it with your hand in between the two lines. But I...

It is given in my book that " If the spectral lines are expresses in terms of Wavenumber, then the visible lines of the Hydrogen spectrum obey the following formula: Wavenumber = 109,677(1/22 - 1/n2) Here, I cannot understand that how can the visible lines be expressed in terms of...

I have found the 2D Fourier transform of a figure and then changed it to a binary image (attached). I want to find the line of best fit through the longest "axis"? of this figure. What would be the simplest way to accomplish this?

Homework Statement Q: Does the graph of f(x) = x^(1/2) have a point of tangency with the line y = (x/4) + 1? Homework Equations lim x->a (f(x) - f(a)) / (x-a) The Attempt at a Solution If the limit exists of the relevant equation than there is a point of tangency. So I'm...

Homework Statement Show that if σ(t) for (t in I) is a parametrization of a line, then σ''(t) is parallel to σ'(t). Homework Equations The Attempt at a Solution I thought that if σ(t) is a parametrization of a line then it could be expressed as σ(t) = vt + a, but then σ'(t) = v...

Homework Statement Three point charges, q1, q2 and q3 all on x-axis (i.e y=0 and z=0) +q1 at x = 0 -q2 at dist from origin x = a +q3 at dist from origin x = -2a where q1, q2 and q3 are magnitudes of the charges. Assuming q1 = q2 derive magnitude of q3 in order for there to be zero net force on...

Hi guys & girls, I'm using Google maps coordinates to draw a line and want to divide the line by its length, giving segments where the length of each segment is equal to 1. EG: P1 p1.lat = 54.97435323116719 p1.lng = 54.9742647135445 P2 p2.lat = -1.6116368025541306 p2.lng =...

Hi guys, I have a really tricky problem here and I'm hoping that there is a math guru here who can help. The problem Using Google maps, I need to allow a user to draw a line. This line can be in any direction and basically, I need to determine if the user has drawn the line over a road and if...

Homework Statement Erik’s disabled sailboat is floating stationary 3 miles East and 2 miles North of Kingston. The sailboat has a radar scope that will detect any object within 3 miles of the sailboat. A ferry leaves Kingston heading toward Edmonds at 12 mph. Edmonds is 6 miles due east of...

The base of a solid is the region bounded by the parabola $$y^2=4x$$, and the line $$x=2$$ . Each plane section perpendicular to the x-axis is square. (I assume this means the cross-section of the solid will be square) then we are not revolving but slicing. The volume of the solid is? (the...

given: a plane with normal N and a point on the plane P. a line from A to B that intersects the plane but is not coplanar. Find the point C on the line that is X distance away from the plane (along the plane's normal, meaning the shortest line that can be drawn from the point to the plane)...

Hello to experts! What is impedance inversion in quarter wave transformer? I need definition not a concept, not explanation, not description. But a precise and point definition. Thank you very much.

Determine whether the points lie in a straight line: 1) A (2,4,2), B (3,7,-2), and C (1,3,3) 2) D (0,-5,5), E (1,-2,4), and F (3,4,2) I'm not sure what method I need to use to show that they are or are not in a straight line. I know that the three points in a are not in a line but those in...

Homework Statement This is from Cahill's Physical Mathematics. Exercise 5.23. For a \gt 0 and b^{2} – 4ac \lt 0, use a ghost contour to do the integral \int^{\infty}_{-\infty} \frac{1}{ax^{2}+bx+c} \mathrm{d}x Homework Equations Use contour integration and the residue theorem...

Homework Statement A lossless transmission line with characteristic impedance Z0 = 50Ω , β = 5∏x10-3, and length l =80 meters, is terminated into a load ZL = 80Ω. The transmission line is powered by a source with 120 V and ZG = 12 Ω. Calculate the load voltage. Homework...

Homework Statement Find the magnitude of the electric field this comination of charges produces at point P, which lies 6.00cm from the -2.00μC charge measured perpendicular to the line connecting the three charges. Homework Equations E=k\frac{Q}{r^{2}} F=k\frac{q_{1}q_{2}}{r^{2}}...

Dear all, is there anybody knows how to set a 2 degree-of-freedom movement in ANSYS Maxwell 2D transient model? I have two fixed current-excited coils and a free magnet. The magnet should be able to move in a 2D space under the Lorentz forces. However, there are only translation and rotation...

Hello. I need to derive this equation (attached), can you help me please? That's the equation for a two-pair terminal medium-distance power transmission line (20~100km). I have no idea how to start it. Can someone guide me, please?

A point has no dimension and a line, which has dimension, is made from points together. How does something without dimension create something with dimension? I can't really make any sense of it. Could you share your opinions?

Homework Statement What is the x-intercept of the line tangent to the curve x(t) = 3 + cos(∏t), y(t) = t^2 + t + 1, when t = 1? Homework Equations Derivative, y=mx+b The Attempt at a Solution To find the line tangent to the curve: d/dt = <-∏sin(∏t), 2t+1> at t=1 <-∏, 3> dy/dx = dy/du *...

Homework Statement Find the distance from the point A = (1; 0; 2) to the plane passing through the point (1; 2; 1) and perpendicular to the line given by the parametric equations x = 7, y = 1 + 2t, z = t - 3. Homework Equations d = | (PS dot n)/|n|| The Attempt at a Solution Set n = <0...

Why is preferable to use the line integral than the area integral over the complex plane?

Homework Statement A plane is given by the equation: 4x + 5y + 7z = 21 and a line by the equation r = (1,2,3) + \lambda (1,2,-2) where λ is real. Show that the line does not intersect the plane. The attempt at a solution So if I remember correctly, if n . a = 0 , they do not...

Homework Statement http://imgur.com/W4Ntkfb Homework Equations E=KQ/R2 e= electric field Q = charge R = radius from point to charge K is a constant, 9x109 The Attempt at a Solution http://imgur.com/4CTEwDw If my handwriting sucks, I basically did the standard integral of...

348) given the length of the ellipse to a2 h2 + b2y2 = a2 b2 Find the length of the tangent shorter, that intercepts between? the coordinate axes answer L = a + b The equations a2 h2 + b2y2 = a2 b2 And the line y = mx + b as the objetive function

Homework Statement A particle P starts from rest at a point O and moves in a straight line. P has acceleration 0.6t m s−2 at time t seconds after leaving O, until t = 10. (i) Find the velocity and displacement from O of P when t = 10. After t = 10, P has acceleration −0.4t m/s^2 until it...

Homework Statement Here is my problem : so far I've solved the line integral but I don't know what is the condition that must be met in order to be independant of the path given. I found the line integral to be: 27/28

I was wondering what should be used as the criteria for a straight line? One suggestion would be the path that a beam of light would take. Another criteria would be that based on inertia. An object in motion that experiences no forces could be considered to be moving in a straight line. This...

Homework Statement Hello, I have a quick question about the following problem F = (2y+3)i+xzj+(yz-x)k and straight lines from (0,0,0) to (0,0,1) to (0,1,1) to (2,1,1) Considering C1 is the line from (0,0,0) to (0,0,1) C2 is the line from (0,0,1) to (0,1,1) and C3 is the line from (0,1,1) to...