Lines Definition and 1000 Threads

Hello all, I'm not sure if any of you have ever used a device that measures RF transmission line loss and presents it as a graph of Insertion Loss (dB) vs. Frequency (GHz), but that is exactly what I'm trying to calculate. I've been looking through equations for days, and I just don't...

Capacitance between two plates is defined as the charge accumulated per unit potential difference between those plates. But in the case of transmission lines how can we define it? The potential difference any two conductors in a group of several conductors can be derived in terms of the charges...

If I put a charge inside a hollow conducting body is it true that the field lines from the charge don't penetrate through the conductor but instead terminate at induced charges on its inside wall?

How do I find the two tangent points of two lines from (0,0) to an ellipse? We have 2 equations, a general ellipse and it differentiated: 1: A*x*x+B*x*y+C*y*y+D*x+E*y+F=0 is an ellipse if B*B-4*A*C<0. Differentiating, 2: 2*A*x+B*x*dy/dx+B*y+2*C*y*dy/dx+D+E*dy/dx=0. If F<0, ellipse not...

Hi I noticed that certain workers were laying Pneumatic lines underground ( the lines will be covered with concrete) in a factory. I have no idea how much the pressure would be , or what safety precautions they are undertaking. The lines are used to power certain pneumatic tools ( Torque guns...

Imagine a circuit with a cell and no resistors. If I connected a resistor to two points in the circuit, would a current flow through it? Does a bird on a power line act like this? Why does it not get electrocuted? Sorry if this is a stupid question - I'm terrible with electronics! :blushing:

what is pre requisit to study transmission lines and wave guides...? I've studied vector algebra and vector calculus, is it enough or ?

I know that an atom "absorbs" a particular frequency of energy depending on which element and which electron in this element. The question is (for example) if we take one known emission frequency from a particular element, and use that exclusively to bombard another element for a lower...

My chem/physics teacher said that electrons don't travel in a straight direction, he said something about them traveling in random or spiral directions. So I was wondering ofcourse all the photos from the LHC show spirals, so that must be the traces of particles created by the collision. Do all...

There is a crucial aspect of this unit that I am not understanding and that is how to find how many nodal or anti nodal lines are in the equation. relevant formulas: So if I am looking for how many anti nodal lines exist I use the formula | dsinθmax = n*λ | So let's say I have d and λ d...

Homework Statement 2 problems, i solved both of them but I am not 100 % I am right Find all points on the curve y=x-2cosx where the tangent line to the curve is parallel to the line y=x and write an equation of the tangent line at such point Let f^-1 be the inverse of the one -to- one...

Homework Statement 1. Find all the points P_{0} on the surface z = 2 − xy at which the normal line passes through the origin. Homework Equations The Attempt at a Solution See the photo. It seems as long as I can find a,b and c, then the question is done. However I don't know...

Homework Statement I have 2 parametric equations of 2 lines. I want to find if there is a plane that contains both, if any, and find the equation. Homework Equations The Attempt at a Solution so just thinking about it, I figure that a plane would contain both lines only if they...

Homework Statement Let L1 be the line (0,4,5) + (1,2,-1)t. Let L2 be the line (-10,9,17) + (-11,3,1)t. Find the line L passing through and orthogonal to L1 and L2. What is the distance between L1 and L2? Homework Equations Vector Projection Equation: V • W/|W| The Attempt at...

Hello, I study physics on my own, but jump from one area to another and am also a beginner, so if this question is easy and obvious then my apologies. However if it is complicated, please answer it with whatever terms neccessary. I have noticed that while in class (not physics) if I am...

Homework Statement Find the implicit equation of the curve that goes through the point (3, 1) and whose tangent and normal lines always form with the x-axis a triangle whose area is equal to the slope of the tangent line. Assume y` > 0 and y > 0. Homework Equations Hint: ∫( √(a^2 -...

Homework Statement show that the curvature of a plane curve is \kappa=|\frac{d\phi}{ds}| where phi is the angle between T and i; that is, phi is the inclination of the tangent line.Homework Equations The Attempt at a Solution I'm not sure how to start this one out. Any ideas?

edit: If you cannot understand a passage it is probably because of my bad English. Just ask. Dear board, it is said oftentimes that the cassini ovals are the equipotential lines when considering two (equal) point charges in the oval's foci. (see e.g...

If i wanted to make a 1:N coaxial RF switch (say ~100MHz, nothing too high), could you simply route N traces in a star pattern on a PCB and implement a mechanical switch to either connect to your measurement point, or terminate in the characteristic impedance (say 50 Ohm). I'm getting thrown...

Homework Statement Infinite lines of charge are placed on three corners of a square of side 0.2 m, as shown in the figure (attached). If the linear charge density \lambda_{2} = +1 uC/m, calculate the values of \lambda_{1} and \lambda_{3} so that the electric field at the fourth corner is...

Homework Statement Let l1:x=3+t, y=1-t, z=2t and l2:x=-1+s, y=2s, z=1+kt (not sure if this one is just a typo, in which t should actually be s, or whether this is fundamental to the problem) be two lines in R3. a) Find all value(s) of k, (if any) for which l1 and l2 are parallel. If not...

I'm working on a programming project, and I've got this problem I don't really know how to describe or approach. Given a point and a number of lines extending from the point, I want to find the best angle (in 3d) to maximize the distances between the lines. The 2D equivalent would be to simply...

Homework Statement If the population y of rats on a farm at time t (in weeks) satisfies: dy/dt = -y(y-100)/50 then how many rats per week should be killed to eradicate the population? Homework Equations None known. The Attempt at a Solution The ODE dy/dt is autonomous, so I can...

Homework Statement Find an equation of the plane that contains these lines: r=<1,1,0>+t<1,-1,2> r=<2,0,2>+s<-1,1,0> Homework Equations The Attempt at a Solution I took the cross product of <1,-1,2> and <-1,1,0> to get <-2,-2,0>. I used the point (1,1,0) to get the equation of the...

Homework Statement The problem is given in the attachment belowHomework Equations (i)EA= Q/epsilon naught (ii)Area of cylinder used = 2pi*r*L (iii)The integral of E*dA =Q/4pi*epsilon naught (iv) Llamda= Q/LThe Attempt at a Solution Well I know I needed to choose a suitable Gaussian surface...

1. I would actually rather not give the equations. I'm not looking for someone to do this for me I just want a very quick reference on where to start or how to structure the solution and I can get it on my own. 2. I think Least Squares? This is why I haven't started it because I'm not sure the...

Homework Statement A line L passes through the point P(5,1,6) and is parallel to the line M with given parametric equations x=4+4t, y=8+5t, z= 9t. Find the parametric equation of the line L. Homework Equations Well the things that I do know is that the vector to this problem is <4...

Given the following two lines, prove that they are parallel, then find the distance between them... (I have circled in red the two parts of the answer which I don't understand. Namely, why are they using the cross-product here, doesn't that give you a value perpendicular to the lines, hence...

Homework Statement Show from the given equation V[SIZE="1"]b -V[SIZE="1"]a=-intergral a to b (E x ds) that the electric field lines run from higher voltages to lower voltages. Also show from this equation that the electric field lines are perpendicular to equipotential lines. The voltage in...

Hi everyone, I think this is a relatively straightforward question, but I can't find a simple answer for it on Google. What do the Roman numerals stand for in He II and O III in relation to spectroscopy? Thanks.

Hi, I have the equation to the path of two airplanes. They fly at the same height and I found the point where their paths intersect. The question says that the two planes do not collide and I have to prove so. What I did was: Airplane 1: (16 12) + t (12 -5) Airplane 2: (23 -5) + t (2.5...

Homework Statement Find all points for which the curves x^2+y^2+z^2=3 and x^3+y^3+z^3=3 share the same tangent line. Homework Equations Sharing the same tangent line amounts to having the same derivative. The constraint then is that 3x^2+3y^2+3z^2=2x+2y+2z. The points must obviously also...

So the basic understanding I have of electron transitions for EDX, XES and other x-ray fluorescence techniques is that a transition from: L to K shell is named K\alpha M to K shell is K\beta N to K shell is K\gamma M to L shell is K\alpha etc. Grand, easy... google leads me to multiple diagrams...

Homework Statement A basketball gymnasium is 37 meters high, 80 meters wide and 200 meters long. For a half time stunt, the cheerleaders want to run two strings, one from each of the two corners above one basket to the diagonally opposite corners of the gym floor. What is the cosine of the...

I am using the "Three-Phase PI Section Line" Matlab-Simulink block from Simpowersystems blockset for modelling an electric power system transmission line. I had obtained the data from a research paper regarding the transmission line specifications (provided as sequence values). Since I am...

Homework Statement ax+by=k cx+dy=l ex+fy=m If in Exercise 12 k=l=m=0, explain why the system must be consistent. What can be said about the point of intersection of the three lines if the system has exactly one solution? Homework Equations The Attempt at a Solution ofcourse the system is...

HELP! Intersection of two lines (VECTORS) Homework Statement Find the common point of the lines r=i+j+k+x(j-3k) and r=i+y(k-j) Homework Equations The Attempt at a Solution If the lines intersect then there are numbers x and y such that i+j+k+x(j-3k)=i+y(k-j) The two...

Homework Statement In R3, consider the line l given by the equations {x=t,y=t,z=t} and the line m given by the equations {x=s,y=2s-1,z=1}. Let P be a point on l, and let Q be a point on m. Find the values of t and s that minimize the distance between the lines by minimizing the squared...

Homework Statement Draw a diagram to show that there are two lines tangent to both of the parabolas y = - x^{2} (1) and y = 4 + x^{2} (2) Find the coordinates of the four points at which these tangents touch the parabolas. Homework Equations y - y_{o} = m(x - x_{o}) The Attempt at a...

Homework Statement List the 4 properties and characteristics of electric field lines. Homework Equations I was not able to get them all and the ones that I did get I am confused that if it is really a characteristic or a property The Attempt at a Solution 1. Characteristic...

I tried asking a similar question earlier, but based on the answers I got I wasn't able to convey myself well. Here's Feynman's argument (at least as I understand it) for why, from a Quantum perspective, light (roughly) travels in straight lines from points A to B: 1) the photon will travel...

Which, if any, of the following statements about electric field lines is/are true? The electric field is always perpendicular to the surface outside of a conductor. - TRUE It is not possible for the electric field to ever be zero. - FALSE It is possible for two electric field lines to...

Homework Statement Determine equations of all lines the are tangent to y=x^2/(x-1) and that pass through the point (2,0). Homework Equations The Attempt at a Solution First I found the y' which I came up with y'=x(x-2)/(x-1)^2 next, let (a,f(a)) and put a to y'...

Homework Statement my textbook mentions the following as properties of lines of forces among other things They do not pass through a conductor. They contract longitudinally. They exert a lateral pressure on each other. I want clarification on these points i) Why lines of force do...

Homework Statement Use Gauss' law to explain why field lines must begin or end on electric charges. Homework Equations Gauss' law: \epsilon_0 \phi_E=q The Attempt at a Solution I'm not sure whether this solution is incomplete or inconsistent. First, I take a gaussian surface...

Hey all. I was wondering what the interaction between Electric and Magnetic field lines are. For example, when you hold up a magnet against a charged electrode. I tried searching in google, but everything just turned up one or the other or how a moving charge makes a magnetic field and etc.

Homework Statement [PLAIN]http://smartphysics.com/images/content/EM/03/h3_lineF.png A cylinder of radius a = 6.1 cm and height h = 9.7 cm is aligned with its axis along the y-axis. An infinite line of charge is placed at x=3.05cm where λ1 = -2 μC/cm and λ2 = 6 μC/cm at x=-3.05 cm. Point P is...

Homework Statement 1. The line perpendicular to the curve y = 2x^3 - x^2 + x - 3 at the point (1, -1) will intersect the x-axis at what point? 2. f(x) = |x^2 - 5| - x, for all x. Let g = f(f(f(x))), find g'(2). I tried just subbing in 2x - 1, the first derivative, to f(2x - 1) and...

Hi to everyone. I'm developing a puzzle game which involves some concepts of geometry. Suppose you have a rectangle formed by points A, B, C and D. Now, I add points X1 (lies on line AB), X2 (inside the rectangle) and X3 (lies on line AC). I'd like the output to be the two rectangles...

The problem is: Tangent Lines: Determine equations of the lines tangent to the graph of Y = x√(5-x²) at the points (1,2) and (-2,-2). Graph the function and the tangent lines. I have no IDEA where to go with this. I am taking calculus over the summer and we are in week 2 and I'm...