In physics, a charged particle is a particle with an electric charge. It may be an ion, such as a molecule or atom with a surplus or deficit of electrons relative to protons. It can also be an electron or a proton, or another elementary particle, which are all believed to have the same charge (except antimatter). Another charged particle may be an atomic nucleus devoid of electrons, such as an alpha particle.
A plasma is a collection of charged particles, atomic nuclei and separated electrons, but can also be a gas containing a significant proportion of charged particles.
A charged, metallic box has an energy content higher than an uncharged box, due to the energy stored in the electric field (which is equal to the work that has to be done to bring the charges from "infinity" to the surface of the box). So, due to the mass-energy equivalence, a charge box has a...
Showing the motion is simple harmonic seems routine. The 5th equation on p. 674 gives ##E=frac{1}{4\pi\epsilon_0}frac{qx}{(a^2)+(x^2)}^frac{3}{2}##, but matching expressions for ##\omega=k/m## yields only ##x=frac{ea^2}{2}##. Something in the model is escaping me. Thanks for any help offered!
If I were to tie a friend of mine adjacent to the oscillating charge and make him oscillate in parallel to my oscillating charged particle such that to him the oscillating particle is at rest, would he observe the generation of electromagnetic waves.
I have a simulated data of charged particles in a magnetic field. I have selected clusters, each cluster contains a set of points(x,z) and I want to perform RK4 between the first and second clusters and fill the positions in a histogram.
I have selected the clusters with the initial...
From the picture, the particle experiences upwards force. But how to determine the direction of motion? I think there are two possibilities: if the particle is positive, it moves from Q to P and if it is negative it moves from P to Q.
Thanks
When a Kerr black hole evaporates, what will the Kerr parameter do?
Stay constant at initial value?
Approach zero?
Approach unity?
Approach a target value somewhere between zero and unity?
Also, Nordström black holes in practice (with matter around) would have a strong tendency to attract...
I believe this does has a couple of Calculus aspects to it but I don't really know how I'd find the surface area of inside the bowl.
The answer sheet says the answer is 252 with a margin of error of +/- 1
I think if we don't consider electron's/proton's mass then we can say that the amount of charge doesn't need to be equal according to Newton's 3rd Law. I mean having q on one ball and 2q on another ball , still makes the angles having the same size. Is it true ?
What if we consider proton's...
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 =...
Here is figure 2.16.6
Here is the picture I drew to set up the problem
My first question is if the reasoning and integrals are correct. I used Maple to compute the three integrals. The first two result in 0, which makes sense by symmetry.
Maple can't seem to solve the last integral.
For this problem,
If we assume that x = 0 is where the spring connects to the wall, then the rest position of the mass-spring-electric field position is x = EQ/k and the max position is x = 2EQ/k. Is there a reason for the symmetry between the rest position and max position? (The symmetry...
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...
The electric field inside a charged spherical shell moving inertially is, per Gauss's law, zero.
If the spherical shell is accelerated, the field inside is not zero anymore, but it gains a non-null component along the direction of the acceleration, as mentioned, for example, in this paper.
The...
hello i would like to understand to something.
here is the drew
now for my question:
i was able to find Ey and here is my correct answer:
when i try to find Ex i didnt understand something, i found the correct answer but i need to put minus before and i want to know why?
here is my solution...
If we have charged particles having Brownian motion, would this motion be associated with (or produce) heat or electricity? Would it produce electromagnetic radiation (and if it would produce it, what type of radiation in the electromagnetic spectrum)? Could there be Brownian motion of charged...
Hi, I have a question about the motion of a charged particle in crossed E and B fields. if B was pointing in the Z direction and E in the y direction then the component of the motion in the Z plane = 0. The only reason for this to happen is that the electric force due to the E field depends on...
Hi.
I have solved the problem below as shown in the attached image. However I'm at a loss to figure out where I am making a mistake, and I know it is indeed a big goof up. Requesting guidance over identification and rectification of this big goof up.
(Edit- I can solve this problem in the...
I know that (a) is right, and (b) is wrong. The problem is with (c)... It seems correct to me! I can't see how this is not true. The electric charge o the sphere by itself will create an electric field, which will move the particle.
A point charge of value q=8uC is released from rest at a point 1.5m away from the center of the axis of a ring with uniform charge density 3uC/m. The ring has a radius of 10 cm. What is the kinetic energy of this charge when it is 4.5 cm from the center of the charge ring, considering that it is...
Hi!
I want to start with saying that I'm not an expert on these type of problems, but I will be gratefull for some calarifications.
I've heard that there's nothing in psysics that says that time travel is impossible. I want to make a case with the time traveling battery. Could be any mass with...
I need to use hermiticity and electromagnetic gauge invariance to determine the constraints on the constants. Through hermiticity, i found that the coefficients need to be real. However, I am not sure how gauge invariance would come into the picture to give further contraints. I think the...
Suppose a molecule from our surrounding air (at ambient temperature) is being selected and is ionized. By some mechanical means, some velocity (say 100 m/s) is added to it and it has been put into a magnetic field perpendicular to its direction of motion. We all know how the molecule will behave...
First draw a gaussian shape outside of the sphere (a larger sphere) with radius R. The total charge from the (inner) sphere will be:
$$Q = \sigma A$$
$$A = 4\pi r^2$$
$$Q = \sigma 4\pi r^2$$
Use Gauss's Law to derive electric field magnitude
$$\oint_{}^{} E \cdot dA = \frac{q_e}{\epsilon_o}$$...
define charge at an infinitesimal length of arc
$$dQ = \lambda R d \theta$$We only care about the x component of the electric field because the y components cancel due to symmetry
$$dE_x = \frac{k_e dQ}{R^2} cos \theta$$
Integrate to add up the infinitesimal parts. A quarter circle means 90...
We know the net force on the charged particle in the uniform electric field pointing up is mg - qE.
To get acceleration, divide the net force by mass to get g - qE/m
Plug into kinematic equation and get velocity by itself and substitute$$\sqrt{h(2g - \frac{q \sigma}{\epsilon_o m})}$$
I know that if we bring a positively charged rod closer to the electroscope, charges of electroscope are separated and the leaves of the electroscope get away from each other. but what happens if we touch the positively charged rod with our hands and then move the hand and rod away?
λ1 = 3 microC/m λ2= -4 microC/m
__________ . __________
l----L1---l-a1-l-a2-l-----L2---l
(Not to scale)
L1 = length of rod 1 (1m)
a1 = length of end of rod 1 to point (0.7m)
L2 = length of rod 2 (1m)
a2 = length of end of rod 2 to point (0.3m)
k = e field constant...
Hi, all
I am studying the defect formation energy calculations for defect crystal. One vacancy have different charged state, for example one N vacancy range [0,+3], what the charge range for two N vacancies? From chemistry, two N vacancies should be have max charge: +6. However, most...
Generally, energy is ##U=9\times 10^{9} \times \frac{5\times 10^{-6}30\times 10^{-6}}{2+(10+20)\times 10^{-2}}=0.5869 J##
<br/>
After touching, they have charges
##q_1 and q_2 = 35\mu C-q_1##
##\frac{q_1}{10}=\frac{35\mu C-q_1}{20}##
I was wondering where 1/10 and 1/20 coefficients come...
I'm surprised that this question only occurred to me recently. If a have an electrically charged mass attached to a spring and set it oscillating, the resulting production of electromagnetic waves must cause a kind of "friction", a force resisting the motion of the charged mass, so that its...
The problem says I have a spherically symmetric spinning constant charge distribution of charge Q and angular momentum w; I saw two possible explanations but none of them has made me realize why it is zero, one mentions thata constant w somehow implies a constant E which would mean there is no B...
Hi,
I have a dialectric cube and inside the center of the cube I have a part where we have Introduced evenly electrons.
I have to find the polarization charge density in the 3 regions.
I know outside the cube is the vacuum, thus ##\vec{P} = 0## and inside the dialectric (non charged part)...
Considering a reference frame with ##x=0## at the leftmost point I have for the leftmost piece of wire: ##\int_{x=0}^{x=2R}\frac{\lambda dx}{4\pi\varepsilon_0 (3R-x)}=\frac{\lambda ln(3)}{4\pi\varepsilon_0}##.
The potential at O due to the semicircular piece of wire at the center is...
hi guys
I am trying to calculate the the potential at any point P due to a charged ring with a radius = a, but my answer didn't match the one on the textbook, I tried by using
$$
V = \int\frac{\lambda ad\phi}{|\vec{r}-\vec{r'}|}
$$
by evaluating the integral and expanding denominator in terms of...
As shown in figure below, the electric field E will be normal to the cylinder's cross sectional A
even for distant points since the charge is distributed evenly all over the charged surface and also the surface is very large resulting in a symmetry. So the derived formula should also apply to...
Are there exactly as many negative charges as positive, in the universe?
If so, how can we be sure, and if not then what is the difference and why?
If there is an assumption of charge neutrality at time zero, then why? Is there a rationale behind that or just an unsupported supposition?
This is the initial setup of the problem:
The electric field due to the ring is:
$$E = \int\frac{k(dq)}{(\sqrt{R^2 + x^2})^2}\frac{x}{\sqrt{R^2 + x^2}} = \frac{kqx}{(R^2 + x^2)^{3/2}}$$
the force on the rod due to this Electric field produced by the ring is:
Consider a differential element...
To find the initial potential energy of the system we can assume the disc to be placed inside a hollow sphere of the same radius and ##\sigma##, the potential energy inside a charged hollow shell is:
$$V = \frac{\sigma(4\pi R^2)}{4\pi \epsilon_0 R} = \frac{\sigma R}{\epsilon_0}$$
the potential...
Using Gauss's Law
By using a symmetry argument, we expect the magnitude of the electric field to be constant on planes parallel to the non-conducting plane.
We need to choose a Gaussian surface. A straightforward one is a cylinder, ie a "Gaussian pillbox".
The charge enclosed is...
Hello there,
I'm perplexed as to why the capacitor is DC-blocking, but the battery (DC) may charge the capacitor.
I'd never considered it until I recently read it in a book. I honestly have no idea what's going on.
If anyone has any idea why this happens, please let me know.
I've read some...
I am interested in particular in the second integral, in the ##\hat{r}## direction.
Here is my depiction of the problem:
As far as I can tell, due to the symmetry of the problem, this integral should be zero.
$$\int_0^R \frac{r^2}{(x^2+r^2)^{3/2}}dr\hat{r}$$
I don't believe I need to...