Electrostatics Definition and 665 Threads

here is a simple diagram representing this situation. The issue I'm facing with this problem is a matter of sign convention. We can write the flux through the ring as the sum of the contribution of fluxes due to the point charges individually. So $$\Phi_{\text{net}} = \Phi_{+q} + \Phi_{-q} $$...

I am reading the Griffith, Electrodynamics book, 4th edition, Example 4.8. I want to understand some issues more correctly. It's a little bit difficult to understand now. > Example 4.8. Suppose the entire region below the plane ##z=0## in Fig. 4.28 is filled with uniform linear dielectric...

I am very confused, all i have thought about right now is that, in that isolated branch connecting A, B and C, the net charge would be conserved. Not sure how to proceed. I feel that, if there is a charge ## -Q ##at A, and a charge ##-Q_1 ## at B, then the charge at C MUST be ## Q+Q_1 ## maybe...

Hello people, super confused here. In electrostatics we define the work done on a point charge Q to move it from A to B as $$W = Q \cdot \int_A^B \vec{E} \cdot d\vec{s}$$ . Where exactly does the energy go here? For instance when a positive charge Q is moved in the direction of the electric...

Hi all. I have a question regarding Gauss law. I have learnt that Gauss law applies irrespective of external charges. However, there is a situation which I can seem to reconcile. Consider the case of a coaxial cable, with two concentric conductors separated by a layer of air. The electric field...

I think the answer to part (i) is given wrong. The flux can't be zero because there is a charge Q/2 enclosed by the shell. So, the flux should be Q/2 divided by permittivity of free space. Now in part (iii), the force on charge at point A is given correct. However, the force on charge at centre...

Can someone explain what is a dipole moment for me? and what it relationship with F and torque?

I have read myself through a lot of information on photovoltaics. Yet I still don't understand how it really works. From what I think I understand, the charge separation in PN junctions happens due to an electric potential build up in the depletion zone. Now according to a wikipage on organic...

Hey everyone, This is my first post here, please forgive me if it's in the wrong place. Years ago I made this small app in C# for calculating the force, in Newtons, between two oppositely charged plates that can take various parameters. I've never truly believed the numbers it outputs as they...

To apply the Divergence Theorem (DT), at least as it is stated and proved in undergrad calculus, it is required for the vector field ##\vec{F}## to be defined both on the surface ∂V, so that we can evaluate the flux through this surface, and on the volume V enclosed by ∂V, so that we can...

A bit messy but the bottom is supposed to be the potential function

I derived an expression for the electric field due to solid uniformly charged non conducting spherical volume to be $$ \frac{ Qz} {4π\epsilon R^3 } $$ where z is the distance of the point from the center and it is less than the radius R I.e the point lies inside the sphere... This in terms of...

This is the direction of the electrostatic force on each element due to the charge kept in the center of the ring. According to me tension in each element of the charged ring should be balancing each of these forces...so its pointing radially inwards But I know I am wrong because the...

So I know I have to equate force on a hemispherical shell with spring force to get value of compression but I can't find the force on the hemispheres Some places that do have the solution use the formula : $$\text{Field of non-conducting hemispherical shell= } \frac{\sigma}{2\epsilon_○} $$ This...

not studying physics but i have some courses that requires a good amount of electorstatics and electromagnetism

Following the above statement my teacher was trying to prove something and it started with suppose q1 and q2 are charges placed in a medium (k) of infinite expanse. The distance between them being r. He took q1 and q2 to be some spherical particles and not point charges and concluded that Net...

I’ve been trying to get the proper understanding of electric field. Fine I get the definition: any charge changes space around itself and thus generates electric field that acts with force on any object that’s relatively close to the charge. But first from the first, how can the FIELD act with...

I know that the formula qqk/r applies to a system (two charges), but where is the flaw in my derivation? Thanks!

So from Gauss theorem, electric field at any point inside a uniformly charged sphereical shell is zero. Thus there is no electrostatic force on the inner sphere. From what I have learnt, a field is necessary to move charges. But in this case the inner sphere acquires a charge q without any...

I have read Griffiths' Chapter 2 sections on Conductors. According to it, [FONT=times new roman](if I understood it correctly) if the charge is put inside the cavity of a conductor, then the equal and opposite total charge will be induced surrounding the cavity. This charge and the total charge...

I'm using a cylindrical gaussian surface that is right inside the positively charged conducting plate and has the other end in-between both plates. I'm having trouble discerning whether the charge density(##q_{in}##) should be ##\frac{\sigma}{2 \epsilon_0}## since the cylinder is only...

We have $$\vec{E}(\vec{r})=\frac{1}{4\pi\epsilon_0}\int_V\frac{\rho(\vec{r}')}{\eta^2}\hat{\eta}d\tau'\tag{1}$$ A few initial observations 1) I am using notation from the book Introduction to Electrodynamics by Griffiths. When considering point charges, this notation uses position vectors...

This is the picture of the problem. I attach my solution. I first used a trick with gauss's law to calculate the radial electric field at first order of r. ( where r is small ) ( we can assume ##small r=\delta r##) I used a cylinder at the center of the ring then i calculated the ##\hat{z}##...

Often in potential calculus problems, the uniqueness theorem of the solution of the Poisson problem with Dirichlet and Neumann boundary conditions is improperly "invoked," without bothering too much about making such an application rigorous, i.e., showing that indeed the problem we are solving...

Hah! You thought this had to do with experimentally testing the Schrodinger cat scenario? Nope. Some may know that a good way to concentrate radon daughters is to rub a balloon and let it sit for a while to attract charged aerosols. Without fail, all physics demos appear to call for cat's fur...

I have several questions relating to electrostatics: first of all, in this derivation for the formula of the electric potential energy: work is being done against the electric field right, so the work should be negative, but in this case it's positive. I'm wondering if it's because the direction...

The model that he uses is a dielectric in which there is a spherical cavity with a dipole at its center. The dipole ##\vec{m}## has a component due to a permanent dipole and a component due to an induced dipole (because of polarization). In order to obtain the dipole moment in the cavity, the...

TL;DR Summary: Independence of potential( inside a rectangular pipe running along z axis)from z coordinate Consider the following diagram It is an infinite rectangular pipe running along z axis.I know that the potential inside the pipe is independent of z coordinate, but I cannot seem to...

A capacitor consisting of 2 square metal plates placed at a certain distance is connected to a potential difference generator V. A slab of dielectric material is inserted into the space between the armatures. By doing the calculation of the derivative of the electrostatic energy with respect...

I think definition (a) is not correct since the center of charge distribution rather than mass distribution is important here. The correct definition is the one given in (b). I am thinking that a distribution of charge will have a center of charge ##(x_c,y_c,z_c)## for -ve charges according to...

Problem: Solution: When I looked at an example problem, they started writing the potential in terms of the Legendre polynomials. The example problem: This is what I did: $$V_0 \alpha P_2 (\cos(\theta)) \Rightarrow \frac{\alpha 3 \cos ^2 (\theta)}{2} - \frac{\alpha}{2} \Rightarrow \frac{\alpha...

The electric field strength at the center of a uniformly charged disk should be zero according to symmetry of concentric rings about the center, where each ring is contributing to the electric field at the center of the disk. For a thin ring of uniform charge distribution the formula is ##E =...

Hence the electric force on the charge in both cases is zero. Is this correct?

Doing so, we can consider the balloon to be a point charge (approximately). Can we do it in this case, when there are only electrons on its surface? Or is it stupid and we can't do it under any circumstances?

Since the forces involved (gravity and electric force) are conservative we can use conservation of energy. The initial energy is ##E_i= k\frac{q_1q_2}{r_0}-G\frac{m^2}{r_0} ## and the final ##E_f=mv^2+k\frac{q_1q_2}{2r}-G\frac{m^2}{2r} ## so from ##E_i=E_f ## we get...

I have wrote all feilds and potentials and I want to find the constants. My first question is " when we say in the a<x<2a the potential is V(x)" then the potential in the a is V(a) or V(0) ( cause it is 0 in our new area) ? Second one is " when I want to write the gausses law for the point x=a I...

Hi wizards, I'm working through Jackson's book on E&M (3rd edition) and got stuck in section 3.12 on expansions of Green functions. I have three questions regarding section 3.12: First, why is Jackson trying to find a Green function that satisfies equation 3.156? To my beginner mind, it...

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In the statement encircled, what does Griffiths actually mean?

If I want to calculate the dipole moment of a dielectric cylinder of uniform polarization perpendicular to its axis, I could multiply the polarization by the volume of the cylinder, which is okay. But another method is to consider the cylinder to be a superposition of two cylinders of equal and...

Does the second uniqueness theorem just say that if there is an electric field that satisfies Gauss's law for a surface surrounding each conductor + a surface enclosing all the conductors, it is indeed the true electric field, and no other electric field will satisfy those conditions?

in this example in Griffiths' electrodynamics, he says the following :(Figure 3.7 shows a simple electrostatic configuration, consisting of four conductors with charges ±Q, situated so that the plusses are near the minuses. It all looks very comfort- able. Now, what happens if we join them in...

1)Field Lines is supposed to represent the electric field around a charge ,now we can draw infinite field lines around a charge and sinc Electric flux is No of Field Lines /area ,does it become infinite ,the whole concept of field lines is quite in the Gray Area for me ,I can in theory mark...

There is a nice uniqueness theorem of electrostatics, which I have found only after googling hours, and deep inside some academic site, in the lecture notes of Dr Vadim Kaplunovsky: Notice that the important thing here is that only the NET charges on the conductors are specified, not their...

Hi all , please refer to the picture regarding my working. please correct me if My working is wrong. I am quite confused about the positive and negative sign in equation

I encountered a problem regarding the appropriate sign needed to be taken for the work done on a dipole when it rotates in a uniform electric field and would appreciate some help. The torque on a dipole can be defined as τ=PEsinθ The work done on a dipole to move it from an angle ##\theta_0##...

From the second equation I get that, ##\vec D =\frac{q}{4\pi \vec r^2}\hat r## From first equation I get that ##\vec E = \frac{q}{4\pi \vec r^2 \epsilon}=\frac{q}{4\pi \vec r^2 K \epsilon_0}## But I saw that the answer is ##\vec E=\frac{\vec E_0}{K}## While writing the comment my mind said...

Summary:: I been stuck on this problem from past 4 months. I am completely done. I am getting no idea. Even my professor couldn't have helped me. Can anyone please help me? 😔

As a preliminary note, most people flex about how dumb questions and then continue to school and scold curious minds. Instead of taking a demeaning approach I just ask for respectful insight to quench curiosity. I will 1) explain the experiment as I know it to be, 2) explain what I have been...

(a) Knowing ##E##, we can use equation (2) to determine ##V##. However, since ##\vec E## represents the distribution of electric field in space i.e. a function of (x,y,z). For example, ##\vec E = x \hat i + y \hat j + z \hat k##. Here we do not know this function so how can we know ##V## at a...