Lines Definition and 1000 Threads

The electric flux around a charge is represented by electric lines of force. But it is said that the electric lines of force is purely an imaginary concept to visualize a field. In the Gauss' law, using the formula q/epsilon we calculate the total number of lines of force. For a charge of 1...

Linear Algebra - Find the value of "a" such that 2 lines lie in a plane Homework Statement Consider the lines L1 and L2 with the following equations: L1: (x y z)=(7 4 −4)+t(2 2 −2) L2: (x y z)=(a 4 −4)+s(−3 2 −2) Find the value of a such that L1 and L2 lie in a plane. They also gave...

I understand why a ball's velocity vector is reflected across the line normal to the wall when it hits the wall. Why does this happen with light and a mirror? What is happening atomically for an atom to take in a photon and spit it out across the normal line?

Homework Statement Let f:\mathbb{R}^2\to\mathbb{R} be continuous everywhere except, possibly, at the origin. Furthermore, for any point p\in\mathbb{R}^2, let s_p:\mathbb{R}\to\mathbb{R}^2 be defined by s_p(t) = tp. Now assume that f\circ s_p is continuous, as a function...

Two tangents to an ellipse meet at a point T, find the coordinates of T. The two equations are (bcosΘ)x + (asinΘ)y= ab (-bsinΘ)x + (acosΘ)y= ab This has been really frustrating me as I feel it should be simple, but with the trigonometric...

Hi everyone, My data consists of road accidents and spatial covariates. Originally i wanted to apply an inhomogenous Poisson process with covariates. Then I realized that the accidents cannot occur everywhere in space, but only on roads. I found an example, that is quite similar to mine. it...

Where is it writ that forces must act in straight lines?

I am unable to comprehend the proof for tangent line to conics. Here is the proof as per the book (Multiview Geometry by Hartley and Zisserman). Everything is in homogeneous coordinates. The line l = Cx passes through x, since lT x = xT Cx = 0. If l has one-point contact with the conic...

I have a multi-lined coloured plot in which I need some lines represented by dashed lines ('linestyle', ':') and I also need my plot to be quite a high resolution (dpi) for publication reasons (print -r600 -dtiff myfile.tif). So this works fine but when I open the tiff file with high resolution...

Homework Statement Determine the magnitude and direction of the electric field at point 1 in the figure. Homework Equations E=\frac{QK}{r^2} V=-\frac{QK}{r} The Attempt at a Solution \int E dr=-V When I take the derivative of both sides of this relation wrt to R, I get...

Homework Statement You are given the two lines with the following parametric equations: L1: x = 4 + 2t y = 4 + t z = -3 - t L2: x = -2 + 3s y = -7 + 2s z = 2 - 3s Both s, and t are elements of a real number. Determine the coordinates of P1 that lies on L1, and P2 that lies on...

Homework Statement A very long (infinite), straight line of charge runs parallel to another very long (infinite) straight line of charge. Both lines are uniformly charged, one with +1*(lambda) and the other with -2*(lambda). The distance between them is d. Find (if any) the location(s) where...

When objects are heated they produce blackbody radiation which varies with their temperature, and when the electrons in the orbitals of atoms are given energy they produce radiation at specific frequencies known as spectral lines. My question is this. When an object, say a piece of mental is...

Homework Statement Rotate the area bound by the following lines around the x-axis. y = x^2+1, y = -x^2+2x+5, x = 0, x = 3 Homework Equations None that are uniform enough to put here considering I'm fairly sure it's not washer... The Attempt at a Solution

Homework Statement My Chemistry book says: "Before reading further about the details of Bohr's model, speculate as to how they explain the fact that hydrogen gas emits a line spectrum rather than a continuous spectrum." Homework Equations The Rydberg Equation, though I suppose this is more...

Homework Statement ABCD is a quadrilateral with AB=CD P,Q,R,S are the midpoints of AD,AC,BD,BC respectively Prove that PS is perpendicular to QR Homework Equations The Attempt at a Solution I've tried a bunch of different avenues, but I think that the most promising one is...

hello forum, I am trying to read and learn about balun. Some transmission lines are said balanced while other unbalanced... In a balanced transmission line the voltage on one wire is always as big as the voltage on the other wire but 180 out of phase. For example wire 1 is at 50 V while...

Homework Statement Our teacher was talking about something regarding two tangent lines on a circle who distance between the tangent lines is square root of 3 times the radius of the circle... She wanted us to find the proof of this but I am stumped on where to even look... Does anyone know...

Complex numbers - "parallel lines meet at infinity"? What does it mean? We started learning about complex numbers last week. One of the first things my teacher said was that "We learned that parallel lines never meet. But as it turns out, they meet at infinity." I'm willing to accept it...

Hi, I a question related to an equation for a magnetic field vector, B, from a dipole in cylindrical coordinates. This is the equation I found for the B field (thought I'm not 100% certain this is correct). B = (u0*m/4*Pi*r^2)* {2 Cos[theta] , Sin[theta]} where the first index is the...

Homework Statement Draw the electric field lines and equipotential lines for the electrode configure. Assume one of the parallel plate is at a positive potential and the other one is grounded. Homework Equations The Attempt at a Solution I know the electric field lines and...

Hi, I've been trying to work out exactly why the t=const and r=const lines look like they do in the Minkowski conformal diagram. I started with the usual Minkowski metric in polar coords (t,r) then go into null coords, then pull in the infinities by using arctan transformations, finally I then...

We've all seen Carl Sagan's Pale Blue Dot picture, taken by Voyager [PLAIN]http://www.humanistsofutah.org/images/PaleBlueDot.jpg My question is: What are those huge red, green, and orange lines?

Can anyone explain to an ignorant layperson, with as little mathematics/geometry as possible, whether field lines in expanding space become "farther apart". I view this question as being closely related to the concept of quantum foam distribution in expanding space... do virtual point particles...

Homework Statement The adjacent figure shows the E-field lines (with arrows) and equipotential contours for a certain charge configuration. Determine for each of the following statements whether it is true or false. Assuming that these contours are those of a point charge at the origin...

Magnets "lines of force are" electrons? So I understand that a magnetic field is defined by the lines of force that go from the north to the south pole...what are these forces? The flow of electrons back and forth...?

I'm supposed to find the equation of a line perpendicular to and intersecting another line. The original line was parameterized in t. I got the answer as L = (0, 1, 2) + s <3/2, -1/2, -1> The book gave it as L = (0, 1 ,2> + t <3, -1, -2> Since both equations describe the same...

Homework Statement L1 pass through the points (-2,36,9) and (-8,44,12) L2 pass through the points (55,-31,7) and (41,-16,13) Find a point P on L1 and a point Q on L2 so that the vector \vec{}PQ is orthgonal to both lines. Homework Equations Dot product/ Cross product The Attempt at a...

For example. L1: x = 11+3t y = 7+t z = 9+2t L2: x=-6+4t y=-2+3t z=-7+5t I was given this problem, and technically these lines don't intersect, right?

Homework Statement Determine whether r1 and r2 collide or intersect: r1(t) = <t^2 + 3 , t + 1 , 6t^-1 > r2(t) = <4t , 2t -2 , t^2 - 7> I am completely lost in this problem and was hoping for a just a hint at where to begin. I'm unsure what it even means if two lines collide or...

Homework Statement How many tangent lines to the curve y = x / (x + 1) pass through the point (1,2)? At which points do these tangent lines touch the curve? Homework Equations n/a The Attempt at a Solution I'm completely drawing a blank on this one. Help.

Find the distance between the nonparallel lines, L1: |x| ...|4| ...|1| |y| = |-1| + t|0| |x| ...|3| ...|2| and L2: |x| ...|1| ...|-3| |y| = |2| + s|1| |x| ...|2| ...|-1| picture the above as matricies, sorry i don't know how to properly make them :...( Attempt at a...

Homework Statement Comment on the electric field lines of a pair of finite parallel plates (a) between the plates and (b) near the edges of the plates. Homework Equations The Attempt at a Solution

Homework Statement Why are electric field lines also referred to as "lines of force"?

Im just trying to figure something out here. Iv been working on some spectra stuff. Now, when I look at a gas, I see the spectra, but if I turn up the intesnsity, new lines appear? Where do these lines come from, as I am looking at the same game, just turned up intensity?

Imagine an electron in uniform motion moving at a speed near the speed of light. Pictures I've seen of the electric field around such a charge look like this one from wikipedia: The field lines are straight, but clustering around the plane perpendicular to the direction of motion...

Homework Statement Prove that a(s) is a straight line if and only if its tangent lines are all parallel. Homework Equations Frenet serret theorem The Attempt at a Solution I'm confused on the direction "if the tangent lines are parallel then a(s) is a straight line". Assume all the...

I got a question that has a charged ring, with two lines of charge that intersect it. So it looks like a circle with a cross in it. I am asked to give the electric field. Would it just be the sum of each of the electric field from each part? So Etotal= Ering + Eline + Eline

given two lines x=s(1,2,1) and x=(960)+t(0,1,-1) how would i go about finding a vector that intersects both lines and then finding another line parallel to that vector? help would be much appreciated

A circle with diameter 90 is located at (70,100). A given point O is at (0,0). There is a line from O to the circle at point A, line OA. Line BT is parallel to OA at a distance 50 from OA and is a tangent to the circle. How do I find the coordinates A and B? I'm having problems drawing...

Homework Statement Consider the plane z = x + 2y and the cylinder x^2 + y^2 = 1 (a) Find a vector function r(t) describing their intersection. (b) Find the points if any where the tangent to ~r is horizontal (c) Find an equation for the tangent line to ~r at each of these points.Homework...

If you saw his lectures, you will love it ;)

Downed power line kills 3 in San Bernardino I wonder if there's a special place in hell for those that make puns at the expense of people dying in a horrible accident.

I want to verify the theory of TEM mode tx lines how the signal travel. Please correct me if I am wrong. This mainly refer to stripline, microstrip( assume TEM) etc. 1) The signal is transmited as EM wave through the dielectric between the two lines, not actually current through the...

Hi there, Could you describe for me what happens to the equipotential lines of two charges as they move close to each other. Thanks

Homework Statement 4) In the above figure, the horizontal axis is x measures in meters, the vertical axis is t measured in meters (SR units!) a) For the pairs of events AB, AC, CB, determine the metric distance between them. b) For each pair answer whether the first member of the pair...

The argument I've heard following from Special Relativity is as follows: Assume a causal influence can travel faster than c in a given reference frame, and assume it starts at Event A and is the cause of Event B a short time later (Events A and B are also at different points in space). This...

Homework Statement what is the relation between complex slopes of two perpendicular lines?? :think: Homework Equations The Attempt at a Solution i think it is same as the slopes of two st. lines that is the product shud be -1...but the answer given is sum of slopes is 0...

Homework Statement Two students are tapping their foot on the surface of the water in a pool Distance between two point sources : 2m length of the pool : 5m freqency : 1Hz v = 0.6m/s How many nodal lines are created? Homework Equations lambda = v/f d = (n-1/2)lambda The...

Homework Statement I'm not a physics person at all, but I need to solve this Electrostatics problem and I'm stuck. Homework Equations V(x,y)=(2/pi)arctan(\frac{-2iy}{1-x^2-y^2}) The Attempt at a Solution I've derived this equation from a given set of parameters, V(x,y)=1 when...