A rod with a circular center in the middle (which causes the rod to change direction by 90 °) has an evenly distributed linear charge density 𝜆 of electrons along the entire rod. Determine the electrical potential of the red dot in the figure below which is at the center of the circular round...
Assume that an infinite metallic plate A lies in the xy-plane, and another infinite metallic plate B is parallel to A and at height z = h.
The potential of plate A is 0, and the potential of plate B is constant and equal to V.
So, there is a uniform electrostatic field E between plates A and B...
The final result will only differ in its sign, but this is crucial. Having a positively, radially oriented electric field ##\textbf{E}##, I understand that the sign of the integral should be positive (## - (- A) = A##), but it is not! How and why is this the case? A line integral where the...
Hello, I have a problem where I'm supposed to calculate the charge distribution ρ. I need to calculate it by applying the Laplacian operator to the potential Θ. The potential is the function: q*exp(-αr)/r
I found on the internet that for this type of potentials I cannot just apply the...
Summary: I'm starting a project in my lab where I need to make a program using the Lennard-Jones potential equation in Python. There also needs to be an output graph with the program showing the function. I'm having problems finding workable codes (I keep running into errors) that I could use...
"of the two types of solutions which the Maxwell equations yield for the wave
equation, the retarded and advanced potentials, only the retarded field seems
to have a physical meaning,"
let's start please with basic (and detailed as possible for the knowledgable layman! p.s-which equation is...
Hi! I need help with this problem.
When the outer shell is grouded, its potential goes to zero, ##V_2=0## and so does it charge, right? ##-Q=0##. So the field would be the one produced by the inner shell ##E=\frac{Q}{4\pi\epsilon_0 R_1^2}##.
When the inner shell is grounded, I think that...
I know the eigen value of energy in a Morse potential is
Evib= ħωo(v+ 1/2) - ħωoxe(v+ 1/2)2
but is this the same for every Morse potential, given that the masses μ of the diatomic molecules are the same?
The two potentials are these:
I first found the equilibrium points taking the derivative of the potential. ##U'(x)=U_0 a\sin(ax)##, and the equilibrum is when the derivative is 0, so ##U_0 a\sin(ax)=0## so ##x=0## or ##x=\pi/a##. Taking the second derivative ##U''(x)=U_0a^2 \cos(ax)## I find that ##x=0## is a minimum point...
I see that DC power supply have voltage between it's + & - and its 24V.
However, there is no voltage with ground.
I don't understand - if device's "point" has some potential, why doesn't it give some voltage with ground (which has ~0 potential)
I tried this with phoenix contact...
My question might sound stupid to you but please clear my confusions.
I'm taking an circular arc like element on the plate. That arc has a radius of 'r' (AB) and the radius is inclined at an angle 'θ' with OA (∠OAB).
The area between arc of radius r and r+dr is dA.
dA = 2θr.dr
The charge on...
I tried by taking the derivative of the potential to find the critic points and the I took the second derivative to find which of those points are minimum points. I found that the point is ##x=- a##. I don't understand how to calculate the period, since I haven't seen anything about the harmonic...
Homework Statement
[/B]
There is a conducting cone with angle α placed so that its vertex is normal to an electrically grounded plate, but electrically insulated from the plate and kept at a constant potential V. Find the potential V and the electric field in the region between the cone and the...
Homework Statement
Two charges, ##-q_1## and ##q_2## are fixed in the vacuum and separated by a distance ##a##. What should be the velocity ##v## of a particle with mass ##m## and charge ##q##, travelling from an infinitely far point along the line which unites ##q_1## and ##q_2## in order to...
Homework Statement
What is the potential at the center of the sphere relative to infinity? The sphere is dielectric with uniform - charge on the surface of the sphere.
Homework Equations
##k=\frac {1}{4\pi\epsilon_0}##
##V=\frac {KQ}{r}##
The Attempt at a Solution
If the distance r=0 it would...
Assuming generlized variables, q, we have a Lagrangian in mechanics as the kinetic energy, K, minus potential energy, U, with a dependency form such that
L(q,dq/dt) = K(q, dq/dt) - U(q)
Can someone provide examples of Lagrangians in other disciplines?
So the work done when charging up a capacitor is ##dW=VdQ##
However, when we add a charge ##dQ## to the capacitor, ##V## also changes accordingly, so I was wondering why the work done wasn't written as ##dW=VdQ+QdV## (one that also takes into account t he change in ##V##).
Thanks in advance.
So I have been wondering:
The potential for a point charge at the origin, is described as:
(Using the reference point at infinity): V=1/(4πε) * q/r
My question is, what happens to this Potential the closer we are to the point charge, and so the closer we would get, the Potential seems to go...
Homework Statement
The z = 0 plane is a grounded conducting surface. A point charge q is at (0,0,a), and charge 4q at (0,-2a,a).
Calculate the potential in the region z > 0.
Homework Equations
V=∑kq/r
The Attempt at a Solution
[/B]
Use the method of images.
V1 = kq/r+ + kq/r-...
Can someone please show that calculation of gravitational potential energy at a point R+h from the centre of the earth by choosing the centre of the earth to be at zero potential. Here R is the radius of the earth and h is not very small wrt to R
1. Homework Statement
Hello,
I'm learning electricity and I'm having a few conceptual questions regarding the subject ( especially about neutral objects ) which I'm unsure of the answers and I'd be happy if someone could help me:
1. Is the charge density of a neutral object ( doesn't matter...
Let's suppose I have a potential well: $$
V(x)=
\begin{cases}
\infty,\quad x<0\\
-V_0,\quad 0<x<R\\
\frac{\hbar^2g^2}{2mx^2},\quad x\geq R
\end{cases}
$$
If ##E=\frac{\hbar^2k^2}{2m}## and ##g>>1##, how can I calculate how much time a particle of mass ##m## and energy ##E## will stay inside...
Let's suppose I have a finite potential well: $$
V(x)=
\begin{cases}
\infty,\quad x<0\\
0,\quad 0<x<a\\
V_o,\quad x>a.
\end{cases}
$$
I solved the time-independent Schrodinger equation for each region and after applying the continuity conditions of ##\Psi## and its derivative I ended up with...
How can I calculate the loss of potential energy when forces are applied but no motion in the system occurs? Here's an example:
Let's say I build a battery operated car that is set to drive forward, but I put it right in front of a wall. It attempts to drive forward, but instead it just pushes...
Homework Statement
Assume a conducting sphere has a radius of 3400km with an electric field of 100 V/m at it's surface.
a) Calculate total charge of sphere.
b)Calculate potential at the surface using infinity at reference point
c) Calculate capacitance of the sphere using the result of a or b...
Homework Statement
Homework Equations
What makes the shape circular/ parabolic?
what determines the direction?
The Attempt at a Solution
Because the furthermost plate is positive, the proton would be repelled towards the screen, so i or iii. How do I know the shape?
Hi,
I know that in an elecric field the potential energy ##E_{pot}## is equal to the potential ##V## times the charge ##E_{pot}=q V##.
Here my problem:
I know that the potential energy of a spring is ##E_{pot}= \frac{1}{2}kx^2##.
In my theoretical physics book i read also that the potential is...
Homework Statement
I have a problem understanding the equation
$$\Delta V = -\int_{a}^{b} \vec{E} \cdot d \vec{l}$$
In the case of a parallel plate capacitor whereby the positive plate is placed at ##z=t## while the negative is at ##z = 0##, my integral looks like
$$\Delta V = -\int_{0}^{t}...
If the electric field of a line charge at a distance 'a' is µ/2Π ε0a (µ is linear charge density), then the potential at that point should be µ/2Π ε0 (since potential = electric field x distance). This means that the potential is constant at every point around the line of charge. Hence, this...