Line Definition and 1000 Threads

Hi all I am running a NVT simulation for some structure and want to draw the phase diagram for T vs V. In my code I set some special value for temperature and also for volume. Also I have the analytic formula for my interaction potential. But I don't know how I can draw the binodal line for...

Homework Statement Three loads ZA = 10∠0° Ω; ZB = 15∠-30° Ω and ZC = 20∠45° Ω are connected in star across a balanced, 3 phase, 400 V, RYB supply. Determine (a) line currents (b) Phase Voltages (c) Neutral shift voltage, VON Homework EquationsThe Attempt at a Solution My query is that in...

Homework Statement Calculate the integral ##\oint_C \vec F \cdot d\vec S##, where ##C## is the closed curve constructed by the intersection of the surfaces ##z = \frac{x^2+y^2}{4a}## and ##x^2+y^2+z^2=9a^2##, and ##\vec F## is the field ##\vec F = F_0\left( \frac{a}{\rho}+\frac{\rho^2}{a^2}...

Homework Statement Hi! I'm trying to find the points of intersection of a sinusoidal function and a line. The line is y=x/7. The function is y=sinx. Can someone tell me how to determine the number of intersections and exact intersections. I would also like to know if the same method can be...

Homework Statement [/B] Consider ##\mathbb{R}^3## in standard Cartesian co-ordinates, and the surface ##S^2## embedded within it defined by ##(x^2+y^2+z^2)|_{S^2}=1##. A particular set of co-ords on ##S^2## are defined by ##\zeta = \frac{x}{z-1}##, ##\eta = \frac{y}{z-1}##. Express...

I am having issues figuring out how to do the "in the direction of the vector" part of my problem I have found the equation of the tangent line but i do not know how to the the next part. My question asks: Find the equation of the tangent line to the surface defined by the function f(x,y) =...

Dear all, I am simulation a lossy transmission line like this: http://www.ece.uci.edu/docs/hspice/hspice_2001_2-2878.jpg with G having zero conductance (open). So it is a standard lossy transmission line with RLC components. All R, L, and C values are the same, so there is no variation from...

When using Bernoulli's equation and calculating Reynold's number which one do we use?

can a line (thickness only in 1 dimension ) be observed in real life ? since ,at micro level , even atoms have thickness, is it even possible to really construct a line or point or plane in reality?

Homework Statement The vector field ##\vec B## is given in spherical coordinates ##\vec B(r,\theta,\phi ) = \frac{B_0a}{r\sin \theta}\left( \sin \theta \hat r + \cos \theta \hat \theta + \hat \phi \right)##. Determine the line integral integral of ##\vec B## along the curve ##C## with the...

why do we consider normal line in expressing a plane,say in ##R^3## ,of the form ## ax + by + cz = d ##? What is the logic behind this normal line selection? Plz provide intuitive explanations.Thanks

axis A is always normal to plane of the circle and passes thru centre of circle axis B is always parallel to plane of circle and is always parallel to y- axis of lab frame. axis B passes thru centre of the circle the infinitely long line MN always lies on the plane of the circle and passes thru...

For a circle with radius R centered at R along the X-axis so that the edge of the circle touches the origin, what is the length of a line drawn between the origin and an edge of the circle in terms of the angle between that line and the X-axis? This isn't a homework problem, just something I'm...

Homework Statement A cup is represented by the surface -(z-1)2 + x2 + y2 = 1 and it is on a table represented by the plane z=0 a) find the angle at which the cup intersects the table b) find the equation of the normal line to the cup at the point (0, √2 , 2) c) find the equation the tangent...

Hello! I've encountered a problem of find all points (x,y) on $f(x)=\frac{x-\sqrt{\pi}}{x+1}$ where there are tangent lines perpendicular to $y=-(1+\sqrt{\pi}x+7\pi e^{e^{{\pi}^{110}}})$ So I first found derivative and ended up with $f'(x)=\frac{1(x+1)-(x-\sqrt{\pi})(1)}{x^2+2x+1}$ and then...

Hello In this problem I tried to find the voltage at 2Z0 (load) that is (landa/4) from generator.My result it is different from teacher's result.what is my mistake? (I named V1e as A point and V2e as B point so the voltage across the B point is (Vs/4) according to Zin=Z0 that is the same as Z0...

Two normal equations are given : 5a + 10b = 40 10a + 25b = 95 What is the regression line of y on x? I can easily find the common points from both the equations but how do I find the regression coefficeint?

Homework Statement Show that the component of the jerk along the line of centres of two gravitating bodies has magnitude 2G(m1+m2)r(dot)/r3. Homework Equations (Eq. 1) r(double dot) = - G(m1+m2)r(hat)/r2 (acceleration of body 2 relative to body 1) The Attempt at a Solution Sorry for the...

Homework Statement There is a rectangle in the x-y plane with dimensions H=1, L=2. Find a line or diagonal in the rectangle in which for every point in the shaded area below that line x>y. Homework EquationsThe Attempt at a Solution The line has to intersect a point in y=1 in which x>y. This...

from a bit of googling, i realize it's because the frame rate of the camera and the projector are different. however, i have tried recording videos with cameras of 60fps, 30fps and 15fps, and the projector is likely 60 fps. That's why I'm curious about this - which frame rate is faster (the...

Why is 1/3 considered a number line point when the decimal expansion never seems to stop at a point (if this is indeed the case)?

Homework Statement Find an equation of the line where the planes Q and R intersect. Q: -2x + 3y - z = 1; R: x + y + z = 0 Homework Equations Equation of a Plane: ax + by + cz = d, where \vec{n} = <a, b, c> Equation of a Line in R^{3}: \vec{r}(t)=<x_{0}, y_{0}, z_{0}> + t<x,y,z> The Attempt at...

I was doing some course work earlier today and noticed that I've seen two different equations for a line in 3D space. Usually the equation I use is: \vec r(t)=<x_{0}, y_{0}, z_{0}> + t<x, y, z> You plug in the various points with what the problem provides. However, a few times I have seen a...

Homework Statement Line perpendicular to a plane Plane: z(x,y)= 0.882531*x-0.346494*y+0.383108 P1(0.5;0.1;Z) P2(0.4;0.15;Z) Homework EquationsThe Attempt at a Solution z(0.5,0.1) = 0.7897 z(0.4,0.15) = 0.68414 vector n=ai+bj+ck vector P2P1 = (0.5-0.4)i + (0.1-0.15)j +(0.7897-0.68414)k...

Homework Statement I'm having problem of finding the point where the line of action intersect with CD , hot to do it ? Fx = -500cos60 - 250(4/5) Fy = 300 + 500sin60 + 250(3/5) FR = 991N Homework EquationsThe Attempt at a Solution

I was given the equation of a polynomial told to find the derivative. easy enough. Then asked to give the equation of the tangent line which I've only learned how to get in the form of the question: "find the equation of the tangent line at x=" They gave me the equation of a line parallel to...

Homework Statement [/B] A baseball pitcher throws a ball at a speed of 47m/s. When the catcher receives the ball, he pulls his hand back through a distance of 0.035m in the process of making the catch. What was the acceleration of the ball as it was being caught, assuming the acceleration was...

Homework Statement Hello, I have this function z(x,y) = sin(2*x)*cos(2*y)*e-(x^2+y^2)/6 I need to find an equation of any curve line that lies on that z(x,y) function. Homework EquationsThe Attempt at a Solution Sorry, I really have no idea how to proceed on this, been looking on my note book...

Homework Statement Could you help me with this one? "In a particle accelerator, an electron enters a region in which it accelerates uniformly in a straight line from a speed of ##4.00x10^5## m/s to a speed of ##6.00x10^7## m/s in a distance of 3.00 cm. For what time interval does the electron...

My professor did this question in class and I am a little confused. I wrote it down in my notes but I kind of don't understand it. The question is: Find theta 1/4 of the way through the flight of a projectile in time He does not give us numbers. Everything has to be solved algebraically. My...

Homework Statement Electrical force on a small positive charge q when it is placed in an electric field is given by F(r) = qE(r). Electric field is tangent at every point on a line of force. An analytical expression to plot electric field lines is given by E x dl = 0 Derive the following...

Homework Statement A student investigates the motion of a trolley as it rolls down a ramp ... a data logger records the time the beam was broken for and uses this to calculate the speed of the trolley. Experiment results are: Height of ramp (cm) / Momentum of trolley at the bottom 15...

Homework Statement An ideal transmission line is terminated with a load impedance of 90 ohms and has a characteristic impedance of 50 ohms. Why does it's S11 response trace out a circle on the smith chart? Homework Equations Z_{\text{in}}=Z_0\frac{Z_0+j Z_L \tan(\beta l)}{Z_L+j Z_0 \tan(\beta...

Homework Statement The figure below represents part of the performance data of a car owned by a proud physics student. (The horizontal axis is marked in increments of 2 seconds and the vertical axis is marked in increments of 10 m/s.) (a) Calculate the total distance traveled by computing the...

Find the equation of the line tangent to $$\sin\left({xy}\right)=y$$ At point $$\left(\frac{\pi}{2 },1\right)$$ Answer $y=1$ I didn't know how to deal with xy. No example given

Hello to all of you. I have the following case to solve. I have three overhead power line towers. The first and the third are with tension insulator strings, and the second is with suspension insulator string. During the design process i noticed that the second tower is located incorrectly and...

Homework Statement Find the distance between the origin and the line tangent to ##x^\frac{2}{3}+y^{\frac{2}{3}}=a^{\frac{2}{3}}## at the point P(x,y) Homework Equations [/B] Distance= ##\frac{\left |a_{0}+b_{0}+c \right |}{\sqrt{a^{2}+b^{2}}}## The Attempt at a Solution To begin I find...

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...