Electrostatics Definition and 665 Threads

Homework Statement An infinite dielectric sheet having charge density σ has a hole of radius R in it. An electron is released on the axis of the hole at a distance R√3 from the centre. What will be the velocity which it crosses the plane of sheet? (e = charge on electron and m = mass of...

Homework Statement A cone made of insulating material has a total charge Q spread uniformly over its sloping surface. Calculate the energy required to take a test charge q from infinity to apex A of cone. The slant length is L. Homework Equations The Attempt at a Solution...

Electrostatics -- 3rd plate inserted into parallel plate capacitor Homework Statement This question is from the book by I.S Grant and W.R Phillips on Electromagnetism. Two large parallel plates of area A and distance d apart are maintained at potentials 0 and V. A third similar plate...

Homework Statement Homework Equations The Attempt at a Solution I don't think the given problem requires me to find an expression of potential energy as a function of the equal side lengths. Also, I am not sure how would I set up the integral even if I want to find the expression...

Since the four forces are a "closed list", one of them should be present in each interaction and, according to Standard model, a boson or mediating particle should be doing the job of the relevant force. For instance, the photon is the mediating particle of electromagnetic force. In turn...

Homework Statement The ball 1 can be charged to a certain charge Q by a generator. After that, through contact with the ball 2, the first ball can transfer to second ball part of its charge. After the first contact, the ball 2 has a charge q. Before the contact, the ball 2 was neutral. What...

Homework Statement The question is 1.3 from Purcell E&M 3rd edition. It is asking you what the force on a point charge q is at the tip of a hollow cone (no bottom surface). Homework Equations F = (1/4pie0)*(qQ / r^2) The Attempt at a Solution I have worked on this on and off...

Homework Statement Any ideas on the way to approach them problems would be appreciated really. Homework Equations Assuming it has something to do with ∇.E=ρ/ε or ∫E.ds=Q/ε to see if the divergence of the E fields given satisfy them conditions, if not use ∇xE=-dB/dt or...

the question is about the uniqueness theorem (right now I am reading in griffiths book). the first uniqueness theorem state's that "the solution to laplace's equation in some volume is uniquely determined if the potential is specified on the boundary surface ". I understand that this gives us...

Homework Statement A nonconducting spherical shell has a thickness b-a, where b is the outer radius and a the inner radius has a volume charge density \rho=\frac{A}{r}, r\in[a,b]. If there is a charge +q located at the center, what must A be in order for the electric field to be uniform in the...

So we have a cross sectoin of a sphere that is charged with Q (refer to attachment). electrostatics say the electric field within a charged conductor is 0, and the electric field is perpendicular to the surface. But for a hollow charged sphere (like in the attachment), does the hollow area...

question: A positive charge exists in free space.Now, the charge is enclosed by a spherical shell of finite thickness.What effect does it have on the field lines emanating from the charge...

Electrostatics problem -- accelerations of charged beads Hi everyone Im reworking my MP homework and I can't seem to get the right answer for this problem(26.32). The set up says: A 1.5g plastic bead charged to -3.9nC and a 3.8g glass bead charged to 17.6nC are 2.2 cm apart(center to...

Two point charges are placed on the x-axis as follows: charge q1 = 4.01nC is located at x= 0.201m , and charge q2 = 5.00nC is at x= -0.301m. What is the magnitude of the total force exerted by these two charges on a negative point charge q3 = -6.03nC that is placed at the origin? I know I...

Homework Statement As indicated in the diagram, consider a rail inclined at an angle θ relative to the horizontal axis. A sphere (A) with a charge +q is fixed at the bottom of the rail. A second sphere (B) with a charge +2q and a mass (m) is free to move along the rail. The sphere (C)...

Homework Statement While solving problems in electrostatics we assign zero of potential to infinity .But we also assign zero to ground as well. Now there are electrostatics problems where we use both ground and infinity as zero potential .How is that we have two zero potentials within a same...

Homework Statement I am having a problem with 8.4. I get an answer but it does not match the answer in the memo which I think is wrong. Homework Equations The Attempt at a Solution 8.1) T to P (Could someone explain why?) 8.2) Q = (3*10^-9)-(6*10^-9)/2 = -1.5*10^-9 (This is...

Electrostatics-- spheres leaking charge Homework Statement Two small equally charged spheres, each of mass m, are suspended from the same point by silk threads of length d. The distance between the spheres x << d. Find the rate dq / dt with which the charge leaks off each sphere if their...

Hey I cought out a pattern in Electrostatics and i created it in my revision notes. I have uploaded it please Suggest if any correction required

I've been reading Griffith's "Introduction to Electrodynamics" and I've got to this part where it says: "When you are asked to compute the electric displacement, first look for symmetry. If the problem exhibits spherical, cylindrical, or plane symmetry, then you can get \vec{D}directly from...

Hey guys, I'm in some serious trouble - I don't know how to solve a lot of problems in electrostatics. The main reason is that once I seen that you had to be able to find electric fields & electric potentials due to charge distributions on quadric surfaces I panicked & gave up - I was still...

Homework Statement Consider a thick metal shell with inner radius a = 2cm and b = 4cm. The shell carries no net charge. A point charge of q = 3nC is placed at the centre of the shell. Find the total charged induced on the inner boundary of the shell. Find the total charge induced on the outer...

Homework Statement Hi, I am having problems trying to solve an electrostatics question. Basically there are two circular sectors of radius R and with angle 2β. Both of these sectors have their vertices at the same point in the xy plane (ie at the origin) but have a separation d in the z...

1. A moving proton has 6.4 x 10-16 J of kinetic energy. The proton is accelerated by a potential difference of 5 000 V between parallel plates. The proton emerges from the parallel plates with what speed? a) 1.3 x 106 m/s b) 8.8 x 105 m/s c)1.8 x 106 m/s d) 9.8 x 105 m/sHomework Equations...

1. An electron orbits the nucleus of an atom with velocity v. If this electron were to orbit the same nucleus with twice the previous orbital radius, its orbital velocity would now be a) \frac{v}{2} b) v c) 2v d) \frac{v}{√2} Homework Equations \DeltaEk + \DeltaEp = 0 ? The Attempt at a...

1. A proton with kinetic energy of 2.1 x 10-17 J is moving into a region of charged parallel plates. The proton will be stopped momentarily in what region (attached diagram)? a) Region K b) Region L c) Region N d) Region M Homework Equations \DeltaEk + \DeltaEp = 0 The Attempt at a Solution...

Homework Statement I know for example that a=dv/dt and v=dx/dt. I was wondering whether there are similar relationships for things in electrostatics. I have to internalize all of these formulas (for electrostatics), so I was hoping to understand them in a calculus-based sense in order to...

Homework Statement A ball of mass m1 and charge q1 is projected at an angle ? in a uniform electric field for some time T. The direction of the velocity of the ball changes by 60° and the magnitude of velocity is reduced to half. After removing this ball second ball of mass m2 and charge q2 is...

what is the whole concept of the superposition principle?

Homework Statement A particle of charge +q is a distance r away from a charged flat surface and experiences a force of magnitude F pulling it toward the surface. What is the magnitude of the force exerted on a particle of charge +q that is a distance 2r from the surface? Homework...

I have a few questions pertaining to some concepts in electrostatics, I'd be grateful if someone would help me out. 1) When we place a positive point charge inside a hollow conducting sphere, at its center, field lines emerge uniformly from the sphere. Okay, easy enough. Now, if we place the...

I have a question about the equation for work as it pertains to electrostatics and electricity. One book I read says equation for work done by electric field is W=qV, but another book says W=-PE. However, when I try both equations for the following problem I get different answer. Could someone...

Hello, I've always had problems conceptualizing the physics behind circuits, and it always felt like information is hidden from me. Lately I've been trying to analyze circuits in the microscopic and electrostatic way, as i think it is crucial for real understanding of circuit concepts. I've...

Homework Statement One electron has a mass of 9.11x10^-31 KG. Find the force 1.0 gram of electrons would exert on another 1.0g of electrons from 1.0 kilometer away F = ? Melectron = 9.11x10^-31 kg --> (0.01kg of electron = 9.11x10^-33 kg) Electron Coloumb = 1.6x10^-19 C (ignoring the negative...

Hey, I can't get through this problem from electrostatics. Here's my attempt ##F=-eE## It travels from point A ##(a,0)## to the point B, given by coordinates ##(2a,d)## For it to travel along that path, the electron needs to travel at an angle ##tan(θ) = d/a## (got the slope from the...

Homework Statement An arbitrarily-shaped object is given a charge q and is then surrounded by a dielectric of permittivity ε as shown in the figure below Find the charges induced in the inner and outer surface of the dielectric. Homework Equations I'm not sure but Gauss's law may...

Homework Statement A large conducting sheet M is given a uniform charge density. Two uncharged small metal rods A and B are placed near the sheet on one side. Then a)M attracts A b)M attracts B c)A attracts B d)B attracts A Homework Equations The Attempt at a Solution An...

Q) A solid non-conducting sphere of radius R carries non-uniform charge distribution with charge density ρ = ρs(r/R), where ρs is a constant. Show that (a) the total charge on the sphere is Q = ∏ρsR3, and (b) find the electric field inside the sphere. Now first part (a) is fairly easy, assumed...

A certain charge 'Q' is to be divided into two parts, q and Q-q. What is the relationship of 'Q' to 'q' if the two parts, placed at a given distance 'r' apart, are to have maximum Coulombic repulsion? What is the work done in reducing the distance between them to half its value? It went easy...

I'm studying Landau's Electordynamics of continuous media and, although I like how succinct it is, sometimes it is too succinct! I'm having trouble with a particular passage, so I'll just try to summarize the section up until the part I don't understand. The topic at hand is electrostatic field...

Hello. On the web address http://etc.usf.edu/clipart/35600/35631/boit_35631.htm there is an apparatus allegedly used by a scientist named Boit. However, I can find no reference elsewhere on the web regarding any scientist with such a name, or even to such experiment. Can someone tell me who was...

Homework Statement https://docs.google.com/viewer?pid=sites&srcid=ZGVmYXVsdGRvbWFpbnxtcnRyYXNrc3BoeXNpY3N8Z3g6NzBjNzQxNzIzNDM4Y2M4MQ&docid=236f6ec6993ab970f48b7263eadc4898%7Ca7825efe08310846ea2fbce00fd8bb0b&a=bi&pagenumber=14&w=791 #39. Homework Equations Ep=KQ1Q2/R The...

1. Probably a stupid question, but what are the +'s? Are they just representing the fact that there is a lack of electrons on that plate, or are those actually some positively charged particles that rearrange themselves like that? 2. Do they actually rearrange themselves like that? Does the...

Homework Statement Please open the attachment for the question Homework Equations 1)coulomb's law The Attempt at a Solution I'm at a loss regarding what to do. Upon reading the question (ignoring the figure), I assumed that the charges will form a square and thus the angle between...

I know that the D field has to do with free charges. So when we write Maxwell's equation ##\vec \nabla \cdot \vec D = \rho## we mean rho as the free charge density which does not include the bound charges also known as polarized charges. I know that the E field has to do with both the free...

Homework Statement In the Neumann's problem ##\begin{cases} \triangle \Phi =-4\pi \rho \\ \frac{\partial \Phi }{\partial n}=g \end{cases}##, what condition must g satisfy?Homework Equations I'm given the answer, it's ##\int _ \Omega \rho dV=-\int _{\partial \Omega } g dS##.The Attempt at a...

I encountered the following second order nonlinear ODE while solving a problem in electrostatics. The ODE is: \frac{d^{2}V}{dx^{2}} = CV^{-1/2} How can I solve this? Regards. Homework Statement Homework Equations The Attempt at a Solution

I am given 4 potential charges, 1V, 3V, -6V, and 5V, all arranged randomly around each other. There is a test charge located at infinity. No distances are given between the potentials.1. Where will a test charge of 2*10^-6 C travel? 2. What is its kinetic energy? 3. Find the capatinance of a...

I am trying to do an exercise but there's no equation in the book that links speed and charges. Can anyone help? This is the exercise: Homework Statement There is a particle with mass = 20 grams and charge = 6 x 10^(-6) C, and another particle with mass = 50 grams and charge = -4 x 10^(-6) C...

Homework Statement The problem has six charges that are at the corners of a regular hexagon in the xy plane, each charge a distance a from the origin. I have already solved for the electric fields in the x and y direction and now am trying to apply an approximation for the field on the x-axis...