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d'Alembertian and wave equation.

I am studying Coulomb and Lorentz gauge. Lorentz gauge help produce wave equation: [tex]\nabla^2 V-\mu_0\epsilon_0\frac{\partial^2V}{\partial t^2}=-\frac{\rho}{\epsilon_0},\;and\;\nabla^2 \vec...

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Optics: Can a magnified real image be larger than the lens diameter?

Hi all, This is probably a silly questions, but I want to be sure :). I'm wondering if a real image, created by a convex lens, can appear larger than the lens diameter itself. As an example, I'm...

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Reflection of particles and light: different reflection surface types

Hi, I'm interested in reflection of both particles and light off surfaces. My problem is associated with a model that I'm working on and can be divided in to two parts as far as I see it. The first...

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Position-time equation from force-position equation

I've been trying to obtain an equation of position in terms of time given force in terms of position. I've tried and I think I've managed to obtain an equation of velocity in terms of position using...

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Why dose v = d/t ?

Why dose v = d/t ?

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why can there be no arcing in a perfect vacuum?

i understand why there can be no breakdown, however "arcing" is just the transfer of electrons. a breakdown in air just provides a path for the electrons to take. But if you have two sharp surfaces,...

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Homeowners Want to Limit EMF Exposure by AC Units

Hi, I work in the construction industry. I have a homeowner that would like to protect herself from electromagentic field (EMF) exposure. (She fears cancer from EMF's.) The airconditioning unit in...

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An intuitive meaning to the phase constant k?

k being the one from the harmonic wave ψ(x,t) = Asin(kx - ωt) where k = 2π/λ The way I see it right now, k is just defined this way to get the period of sin(x) to be λ by using sin(kx), so I wondered...

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Question on Dirac Delta function in Griffiths

My question is in Griffiths Introduction to Electrodynamics 3rd edition p48. It said Two expressions involving delta function ( say ##D_1(x)\; and \;D_2(x)##) are considered equal if:...

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Direction of Friction for Rolling Motion

A ball is attached with a string on the side. When the string is pulled up, static friction accelerates the ball forward while the tension rotates the ball. When a ball is placed on a incline with...

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kinetic inductance

can self-inductance and kinetic inductance be combined in the same model?

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Stationary wave question

Standing waves are set up on the apparatus. Here the distance from P to Q is L=1.20m and the oscillator is set to a frequency 120Hz. A standing wave appears when the mass of the hanging block is 286.1g...

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kinematics

a man moves in an open field such that after moving 10 m on a straight line he makes a sharp turn of 60 degree to his left .the total displacement after 8 such turns is equal to

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How can a conductive surface be held at a desired potential?

I was reviewing some things relating to electric fields around conducting surfaces, and the book I was using (Purcell) mentioned that a conducting surface can be held at any arbitrary electric...

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Electric potential puzzle

This is question 2.30 from the 2nd edition of the Purcell book on Electricity and Magnetism. It's an interesting puzzle, and I've been thinking about it for a while, but I can't make any headway, so...

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Do electric fields in a conductor go to zero in all instances?

In the absence of external forces, the electric field inside a conductor is supposed to go to zero. This is because if any field were to exist, then the charges in the conductor would experience force...

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Magnetic field of a solenoid

I'm a bit confused with the equation for a long solenoid. The usual derivation has us consider a rectangular loop enclosing N number of currents over the length L through it. So by Ampere's law one...

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Work done on the system

I have little confusion about understanding a lecture note for calculation of work done by a expansion of gas. According to text, Work done against a force w= - Fx So work done on the system by...

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Weight/Resistance aluminum and plastics

At parity of maximum resistance before failure (in the case of aluminum, deformation), weighs less aluminum or plastic? Let me explain better: if i apply a force of 1000N on one end of a rectangular...

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Help understanding Faraday cages.....

I have a basic understanding of electrostatics but can't quite get my head around how a Faraday cage works. If you take a hollow metal sphere for example and bring an external source charge towards the...

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