Lines Definition and 1000 Threads

Finding Lines "a" & "b" through Integration Homework Statement Let f be the function given by f(x)=4cosx a) This one I figured out. b) Find the numbers a and b such that the lines x=a and x=b divide the region R into three regions with equal area. Homework Equations ∫4cos(x)dx=4sin(x) +...

hi i wanted to make sure that i understood the concept of lecher lines... first i wanted to know, whether it is necessary, if you want to observe standing waves, that the length has to be adjusted, so that there are current nodes at the open end, that is not connected by a wire.? further, my...

Homework Statement Let f(x)= a (7-x^2) for all a does not equal 0 a) Find, in terms of a, the equations of the lines tangent to these curves at x=-1 b) Find, in terms of a, the y-intercepts of the tangent lines at x=-1 c) find the x-intercepts of the tangent lines at x=-1 d)find, in terms...

best book for "Electromagnetic Theory & Transmission Lines" We've this subject of "electromagnetic theory and transmission lines" this semester..and i wanted to know which books deal the content properly ...mastering this topic may require that one cool book (and ofcourse, regular effort)...and...

Can we have E and B field lines from 2 different sources cross. I don't think we can because then a charged particle traveling through the field would have 2 possible paths after reaching the intersection point. But then what if we have induced E fields and other sources. But IM guessing that...

Homework Statement The curve C has equation y = ln3x and crosses the x-axis at point (p,0) The normal to the curve at the point Q with x-co-ordinate of q passes through the origin Show that x=q is a solution of the equation x2 + ln3x = 0 Homework Equations The Attempt at a Solution...

Ok, it's clear to me that waveguides are for sending EM waves from one place to another (e.g. TEM, TE, TM modes). But what about TLs? I've seen them described as carrying AC signals (V or I) but also EM waves, e.g. TEM waves in coax cable. What gives? Does one imply the existence of the...

Homework Statement Suppose that stress fractures appear in railway lines according to a Poisson process at a rate of 2 per month. a)Find the probability that the 4th stress fracture on the railway line occurred 3 months after the process of checking the new railway lines. b)Suppose new...

Homework Statement i was given two parametric equations of two lines in R^3 and asks me to find the isometry between one line and the other knowing that point (a,b,c) of first line is mapped in point (a',b',c') of second line. Homework Equations What i have to find is a 3x3 matrix which...

I was given this equation as the lines of electric fields of a dipole(two opposite charges separated by a finite distance) e=(1/r^3)*((3cos^2(theta)-1)^2 +sin^2(2theta))^0.5 and I was asked to plot it. I guess it must be something like this: but when I try to plot it in wolframalpha.com in...

1. Homework Statement (a) If f and g are differentiable functions on the interval [a,b] with f(a)=g(a) and f(b)=g(b), prove that at some point in the interval [a,b], f and g have parallel tangent lines. (b) Prove that the result of part a holds if the assumptions f(a)=g(a) and f(b)=g(b) are...

Hy everyone! I want to include this two lines: m,n m+n=k but only in the bottom of the sumatory. Is that possible? Thanks in advance for the help!

Having trouble with this: Given an ellipse (x^2/a^2) + (y^2/b^2) = , a!=b. Find the equation of the set of all points from which the two tangents to the curve are perpendicular. I tried finding the slope of the equation then knowing that perpendicular line are the opposite reciprocal. But...

Homework Statement (a) If f and g are differentiable functions on the interval [a,b] with f(a)=g(a) and f(b)=g(b), prove that at some point in the interval [a,b], f and g have parallel tangent lines. (b) Prove that the result of part a holds if the assumptions f(a)=g(a) and f(b)=g(b) are...

Homework Statement The spectroscopic observation of an interstellar gas cloud shows emission lines H (λ=6563 A), Hβ λ=4862 A) e OI (λ=1304 A), each one with a gaussian profile of the kind: g(\nu)=A e^[-\frac{(\nu-\nu_0)^2}{2\sigma^2}] Per Hα si osserva σ_{Hα} = 1.2 \times 10^{10} Hz...

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 Vb -Va=-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 our experiment ran...

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...