Rectangular Definition and 477 Threads

This is not a homework. Actual this is part of my own exercise on conversion where \vec A = \vec B \;X\; \vec C and I intentionally set up B and C so the \theta_B \hbox { and } \theta_C \;=\; 60^o \; respect to z-axis: \vec B_{(x,y,z)} = (2,4, 2\sqrt{(\frac 5 3)}) \;\;\hbox { and }\;\...

Rectangular wave guide, TE01 mode I'm looking for the equations of the electric and magnetic fields over the volume of the rectangular guide. I've managed what appear to be the correct equations for the electric field, E_y = sin\left(\frac{2\pi z}{\lambda_z}-\omega t\right)...

Homework Statement a rectangular loop of sides 25 cm and 10 cm carrying a current 15 A is placed with its longer side parallel to a long straight conductor 2 cm apart carrying a current of 25 A.what is the net force on loop? Homework Equations The Attempt at a Solution

Hey all, A friend asked me for help the other day on his QM homework. The problem regards a rectangular potential U(x) = \begin{cases} V_0 & -a \leq x \leq a \\ 0 & \text{otherwise} \end{cases}, \qquad E<V_0 I thought about this for a while and checked a few textbooks. If we solve this in a...

A particle is confined inside a rectangular box with sides of length a,a, and 2a. What is the energy of the first excited state? Is this state degenerate? If so, determine how many different wave fuctions have this energy. The relevant equations are E=Ex+Ey+Ez =((hbar^2*pi^2)/2m)...

Homework Statement I have a rectangular train wave pulse, w(t). I needed to find the Fourier transform. My work can done can be seen in the attachment. Homework Equations My question is, is there a further way to simplify my solution. The Attempt at a Solution See attachment.

Hi, I am trying to buy a magnifying rectangular mirror for a science project. While simply buying a glass mirror with magnification is available, I have yet to been able to find a mirror large enough for my purposes. It would need to be rectangular 12"X7.5" mirror with at least a 10X...

Homework Statement "The potential in the x-z plane is independent of z and given by a repeating step-function of magnitude 2(phi_0) and period 2a. The plane at y = y_0 is held at ground potential. Find the potential in teh region 0 < y < y_0." - Marion and Heald Classical Electromagnetic...

I am trying to solve something of an inverse problem for inertia, and having a real tough time with it. Any suggestions would be helpful. For a rectangular prism the mass and moments of inertia are: m = rho*A*B*C Ixx = m/12*(B^2 + C^2) Iyy = m/12*(A^2 + C^2) Izz = m/12*(A^2 + B^2)...

Hi. Sorry my spelling, because I am not English. Homework Statement In a sphere truncated sector with an angle of 60 degrees, there is a uniform charge distribution, \rho. Calculate the electric field in (0,0,0). The sector starts in z=a and ends in z = b. The sphere center is in (0,0,0)...

Homework Statement I don't know how to find the square root of a complex number in rectangular form? As in, say, \sqrt{}9-6i..my calculator can't do such an operation (yet my graphics calculator can, which can't be used in exams), so how do i go about to do this 'by hand'? I just found...

Not really homework. But I am programming a game. It is using planetary gravity to make a spaceship go into orbit. I have it so that I find the magnitude of gravity and the direction the planet is in from the ship. I need to make gravity act on the ship in the direction of the planet. I thin...

Homework Statement A rectangular loop of wire 1.00 m wide and 1.50 m long has a mass of 0.150 kg and a resistance of 0.750 Ω. The loop falls out of a large region of uniform horizontal magnetic field, as shown, having reached a terminal speed of 2.00 m/s. Homework Equations None...

b]1. Homework Statement [/b] Consider a particle of mass m incident on a rectangular barrier with a potential V(x) = V0 for 0 \leq x < w V(x) = 0 otherwise, where V0 is a positive constant. The particle has an energy E > V0. Find expressions in...

Homework Statement A triangle is inscribed in a rectangular hyperbola such that the tangent at one of the vertices is perpendicular to the opposite side. Prove that the triangle is right angled. Homework Equations The Attempt at a Solution I am unable to draw a valid figure for...

A rectanglular loop consists of 5 turns of wire carrying a current of 2.8 A. The loop is in the x-y plane, and the direction of flow of the current is shown in the figure. The loop has dimensions a = 4 cm and b = 5 cm. Consider a uniform magnetic field of strength 3.8 × 10-4 T in x, y, or z...

Homework Statement [PLAIN]http://img710.imageshack.us/img710/3483/71071851.png Homework Equations n/a The Attempt at a Solution I understand everything except "the forces on the top and bottom segments cancel." How do I figure out that they cancel? I understand that a force...

Homework Statement Heat transfer due to natural convection in a rectangular enclosure with vertical walls that are at different temperatures. Need a correlation for Nusselt number that could handle an aspect ratio A (width/height-ratio), A > 100 and Rayleigh number Ra > 10³. Also, Prandtl...

Homework Statement Find parametric equations for the portion of the plane x+y = 1 that extends between the planes z = -1 and z = 1 The attempt at a solution z = u -1\lequ\leq1 x = ? y = ?

Convert x+y = 1 to parametric equations. I know that z = v, but after that I'm stuck.

Homework Statement A rectangular box at rest in S' has sides a'=2m, b'=2m, c'=4m. The side c' is parallel to z' axis of S'; the side b' forms an angle 45deg with x' axis of S'. S' moves with v=0.5c with respec to S, along its x axis. Find the volume of the box in S and S'. Homework...

Homework Statement Convert the polar equation r = 2(h cos θ + k sin θ) to rectangular form and verify that it is the equation of a circle. Find the radius and the rectangular coordinates of the center of the circle. Homework Equations The Attempt at a Solution First, I...

Homework Statement Convert the polar equation to rectangular form. r=2sin(3θ) Homework Equations The Attempt at a Solution I can expand this out to r=2(\sin\theta\cos2\theta+\cos\theta\sin2\theta) multiply both sides by r...

Homework Statement In Fig a line is used to produce a short rectangular pulse of width 12ns and peak value 800V. With S-2 open. S-1 is closed to charge the line to Vdc; after charging, S-1 is opened. Then, at t = 0, S-2 is closed to discharge the line through RR and form the pulse. Find the...

40<50degrees + 20<-30 degrees, I get how to convert to rectangular, I got 43.03 + j20.64, but converting it back to polar... how exactly do you do so? The answer is 47.72<25.63degrees... my book doesn't explain it. Also with (2+j4)(3-j5)... how exactly do you tackle this sort of...

Homework Statement I'm trying to help a friend with these two questions, but given that I haven't studied this material in over a decade, it's one of the topics I cannot recall at all. Convert the following from rectangular to polar coordinates: (a) x2 + y2 = x (b) y2 = 2x...

I have a rectangular sheet of given dimensions say L wide and H high. Out of each point some variable field is flowing through given by rules as follows: Consider the top left corner of the sheet, the field is perpendicular at that point. As one moves from top left corner to the top right...

Homework Statement A rectangular current-carrying coil, with side lengths a and b has N turns. The current, I is stable. The coil is shorter than its width. Calculate the magnitude of the magnetic field at the centre of the rectangle. Homework Equations The law of Biot-Savart (I think)...

Homework Statement Find the magnetic flux of the rectangular loop. Show that \int B x dl is independent of path by calculating \oint B x dl Homework Equations The Attempt at a Solution First step was to solve for B from the wire, I did that using Biot-Savart Law for a...

Hi I want check my answer 4 - write answer in both rectangular from and polar Q in degre a ) (1 + i ) ( 2+ 2i ) b ) -2 + 2i

Hi I want check my answer if correct or not write in rectangular form 1) Z2 = 3e^(-60)i 2) z3 = 7.19e^-2.13i 3) z1 = root2 e^(-pi/2)i 4)z2 = 3e^120i 5 ) z3 = 6.49e^-2.08i ------ my answer : 1) = 3{cos (-60 ) + i sin ( -60) }...

Homework Statement A rectangular storage container with an open top is to have a volume of 10 m^3. The length of this base is twice the width. Material for the base costs $10 per square meter. Material for the sides costs $6 per square meter. Find the cost of materials for the cheapest such...

Here is the problem and the equations I feel are relevant. The instructor was not clear on whether or not R2 was moving with velocity v, but I assume so because something must be moving (I think). Can somebody give me some instruction on where to go from what I have...

Barrier potential, E> V0 V(X) = 0 ( x < 0 ) = V0 ( 0 < x < a ) = 0 ( x> a ) Psi(x)1 = Aexp[ik1x] + B exp[-ik1x] Psi(x)2 = Cexp[ik2x] + D exp[-ik2x] Psi(x)3 = Fexp[ik1x] + G exp[-ik1x] ( K3= K1 so I put k1 ) and G = 0 because there is no reflection, I used B.C...

Homework Statement A uniform rectangular coil of total mass 270 g and dimensions 1m x 5m is oriented perpendicular to a uniform 4.00-T magnetic field (the figure ). A current of 2.90 A is suddenly started in the coil. Homework Equations angular acceleration = torgue / moment of inertia...

If you have a rectangular square potential barrier of some height, say \lambda/L, and thickness L, what is the transmission coefficient and what is its value in the limit that L goes to 0? Thus you have the height of the barrier going to infinity, while the width goes to zero... Assuming...

Homework Statement There is an aXb rectangular area in the same plane as a wire with current I. The wire is parallel to side b, and a distance d away. Compute the flux through the rectangular area. Homework Equations \Phi=\intB*dA B=(\muI)/(2\pir) cylindrical coordinates...

Homework Statement Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + y + 4z = 4 Homework Equations Volume of a box with L being the length of a diagonal in that box = L3/(3sqrt3) Shortest...

Homework Statement Find the magnetic field of a rectangular current loop lying symmetrically on the xy-plane. Find the magnetic field at (0,0,z) Homework Equations Biot-Savart law or derived formula (Mu/4*Pi) * sin(theta2)-sin(theta1)/s The Attempt at a Solution I am NOT good...

Hey everyone, For my a research project on quantum tunneling I have to tie in math somehow, so I was wondering if anyone could help me learn to calculate the probability of a wave (preferably like an electron or electrical voltage) of some sort passing through a rectangular barrier, which is...

Rectangular Potential well if hbar --> 0 Hi, I have a very simple question: My professor said that if \hbar \rightarrow 0 in the transmission coefficient does not yield 0 (case E < V0) as classical results would expect. I think the correct transmission coefficient is solved in Wikipedia...

Homework Statement Homework Equations What is the boundary condition for a free edge of a rectangular vibrating membrane? (not plate) The Attempt at a Solution

Hi. I was wondering how to calculate I and W for rectangular and quadratic tubes. I have formulas for massive rectangular and square sections and for circular tubes. I tried to make a formula for a square tube section, based on how the formula for the circular tube looks - but I didn't get...

Hi everyone, I was questionning myself about a problem that I have surely learn in school but I want to know if it's possible to solve a division with imaginary numbers without using the polar transformation. Example: \frac{2+2i}{1-i} So with the polar tansformation we have...

Hi, I'm a physics undergraduate, and I'm having trouble understanding Atomic Physics right now. At first I thought it (the question in the title) is possible, but then I think I got confused with particle in a box. So I refer to textbooks and look for answers in the internet, and confirmed...

I got this formula for the magnetic field of a square-shaped coil: B = m0*2*sqrt(2)*I*N/(a*pi), where m0 is the permeability, and a is the side of the square... I can't really get why it is so, and my best tries resulted in approximation of the 'diameter' of the coil, for example by taking the...

I was trying to derive the formula for the moment of inertia of a rectangular prism at its centre of mass. And ended up with this...

Hi Im am trying to find out a predicted deflection of a steel rectangular beam of uniform cross section (which is 12.7mm wide x 6.4mm deep). The beam is simply supported at both ends and has a span of 660mm. The load is to be placed in the middle of the beam. I have the formula to be used...

I would appreciate any help, even a nudge in the right direction. Problem: A rectangular block of mass m was put on a triangular block of mass M. (There's a diagram for this, but imagine a right triangle, with a square on the hypotenuse, as it slides down.) Assume all friction forces can be...

Hello physicsforums members, I am an engineering student at Purdue University and am currently conducting research with regards to ribbon transducers. A ribbon transducer consists of a rectangular element of metal foil suspended within a magnetic gap (ie free at the sides) and...