Homework Statement
A 12.0-V battery is connected to a capacitor, resulting in 54.0 μC of charge stored on the capacitor. How much energy is stored in the capacitor?
Homework Equations
1/2CV^2
The Attempt at a Solution
At first this problem looks to be easy for me but somehow I...
An insulating solid sphere of radius a = 1.2 m is uniformly charged with charge Q = 4.5 x 10^-6 C. Point P inside the sphere is at a distance r = 0.60 m from the sphere center C. What is the magnitude of the electric field at point P?
So I'm using Gauss' Law:
q,enc = Q[(pi * r^2)/ (pi *...
Hi all,
I want to calculate the electrostatic potential for an two-dimensional area with given Dirichlet boundary conditions (say, a square) with a charged ring in it (like a wedding ring, but inifinitely thin) with a given line charge density. I figured out that the problem should be...
Homework Statement
An insulating cube of edge a has a uniform charge density p. The charge is zero everywhere outside the cube. The potential at an infinite distance from the cube is taken to be zero. If the potential at the center of the cube is Vo, find the potential at a corner of the cube...
Homework Statement
A particle of (positive) charge Q is assumed to have a fixed position at P. A second particle of mass m and (negative) charge -q moves at constant speed in a circle of radius r1, centered at P. Derive an expression for the work W that must be done by an external agent on...
In classical electrodynamics a paradox arises when we compare the power radiated by a charge falling under gravity using larmor formula (proportional to square of the acceleration, hence g^2) but the radiation reaction , given by abraham lorentz formula gives zero.(since it depends on the time...
Consider that we have a macroscopic, electrically charged, point object tracing out a circular path in a uniform magnetic field in the usual way due to the Lorentz force. Now we very slowly raise the overall strength of the magnetic field (slow enough that on one orbit, the object sees the same...
So I've created a program in C# with the XNA libraries which is meant to simulate motion between charged particles. I drew a pic to show the problem I'm having and how I'm moving the particle.
Homework Statement
We have a charged ball with charge e and mass m hanging from the side of the charged cylinder with radius R and surface charge density of \sigma.
The string to which the ball is attached is of length L
Find a relation between charge e on the ball and the angle \varphi...
1. An experiment is run to determine the validity of numerous electrostatic principles. A small ball of mass 6.50 x 10-3 kg with a charge of ±1.50 μC is suspended from a non-conductive wire and hangs between two parallel plate capacitors. An angle of 30.0° is measured between the wire and the...
Homework Statement
An electrically charged wire on the z axis exerts a force on a proton, which moves on the x axis. The initial conditions for the proton position and velocity are:
x(0) = x0 and v(0) = 0.
The force on the proton is Fx(x) = C /x where C = 3.2×10−15 Nm.
(A) Determine the...
This is problem 9.2 in solid state physics by Ibach and Luth.
Homework Statement
Using the stationary Boltzmann equation, show that the mobility of the charged particles in a classical gas is given by
\mu = \frac{e \langle v^2 \tau(\mathbf{k}) \rangle}{m \langle v^2 \rangle}...
Homework Statement
An electrically charged wire on the z axis exerts a force on a proton, which moves on the x axis. The initial conditions for the proton position and velocity are:
x(0) = x0 and v(0) = 0.
The force on the proton is Fx(x) = C /x where C = 3.2×10−15 Nm.
(A) Determine...
In a case of a charged particle attracted to another fixed chrged particle both on one axis.
force on charged particle will be F= (const)(q1*q2)/(r^2)
for simplification = q1*q2*const =1 , and also mass of particle will be equal to one .
so acceleration = 1/(r^2)
r is distance between 2...
http://imageshack.us/photo/my-images/543/unledyel.png/
This is a chamber, immersed in a magnetic field, containing circulating electrons shot into a gas. My question is: why is the direction of rotation for the electrons (as shown on the picture) clockwise and not counterclockwise? I am...
If a conducting sphere has a negative net charge and there is a positive point charge at the center of the sphere, what charge would you use to find the Electric Field at a point outside the sphere?
The equation is E=kq/r^2.
Would I use the net charge of the sphere, or do I need to...
Homework Statement
A capacitor is charged with some potential difference. A charge will developed on both of it's plates. Now remove this capacitor from battery and ground/earth one of the plate through a wire. What will happen??
Homework Equations
gauss law
The Attempt at a Solution...
Greetings-
I'm playing with the differential equations to get the standard or classical solution for the circular motion of a charged particle in a magnetic field. I have some question on my math.
I'm doing this for fun - (just because)
Should I post this in the homework section. Does...
Problem is:
You have a non-uniformly charged solid cylinder along x-axis who's volume charge density (ρ=ρ°+vx), v is constant, changes according to where you are in reference to center of cylinder (origin). At center there is a charge q. Find force felt by the charge due to the cylinder. I know...
Hi everyone,
Homework Statement
Let a charge Q be uniformly distributed on a circular ring defined by a < \rho < b. Find D at (0,0,h).
Homework Equations
E = kQ/r2 ar
D = \epsilono E
The Attempt at a Solution
Well I thought I had this figured out, but I was wrong and I still...
Electric Force problem --> Infinite charged plane with hole
The plane is infinite charged. It has a charge density (σ) of 10nC/m^{2}. If R=5cm, determine the electric force of a proton in the point P=(0,0,10cm).
=====================================================================...
The Image has all the details:
http://img38.imageshack.us/img38/3448/question3p.jpg
Uploaded with ImageShack.us
I honestly I have no Idea as to where I should begin. Any hints on how to get started?
Homework Statement
Consider a uniformly charged solid cylinder of radius R, length L and charge density ρ. Find the
potential at a distance d (> L/2) from the centre of the object, along the axis of the cylinder.
Homework Equations
V=∫kdq/r
The Attempt at a Solution
For me, it...
Homework Statement
There is a non-conducting charged rod with length L=.0815(m) and linear charge density λ=-5.9x10-14(C/m). The rod is placed parallel to and on the x-axis, and at a distance a=.12(m) from the right-most end of the rod is point P. Calculate the magnitude and direction of E...
Homework Statement
A cylindrical shell of radius 7.00 cm and length 240 cm has its charge uniformly distributed on its curved surface. The magnitude of the electric field at a point 19.0 cm ra- dially outward from its axis (measured from the midpoint of the shell) is 36.0 kN/C. Use approximate...
An initially neutral conductor contains a hollow cavity in which there is a + 65.0 nC point charge. A charged rod transfers - 75.0 nC to the conductor.
Afterwards, what are the charges along the inner surface and the exterior surface?
I understand that the charges from the rod are equally...
There is a parallel plate capacitor having capacity C. It initially has got no charge on it. Now we insert a dielectric material of dielectric constant K between its plates (it still has no charge). Now we connect this capacitor (with dielectric) to a d.c source of potential difference V. Now...
[SOLVED] Charged particles deflecting in a statics question.
Homework Statement
A particle mass 2g and carrying a charge of q is suspended from a light, insulating thread. A second particle carrying an equal and opposite charge is held near to the first particle in the same horizontal plane...
Suppose there exists a black hole with a large + electrical charge. The escape velocity for any given particle will depend on the net force on it, gravitational + electrical. It seems logical that the more positive a particles charge the lower its escape velocity will be from any given point. If...
A conductor carries a net charge +Q. There is a hollow cavity inside the conductor that contains a point charge -Q. In electrostatic equilibrium,what is the charge on the outer surface of the conductor?
A. -2Q
B. -Q
C. 0
D. Q
E. 2Q
I know that the answer is 0, however, I cannot...
Homework Statement
A charged cork ball of mass m is suspended on a light string in the presence of a uniform electric field, as shown in the figure below. When E = (Ai + Bj) N/C, where A and B are positive numbers, the ball is in equilibrium at the angle ?.
b) Find the tension in the...
I need to find the electric field at all values of radius for an infinitely long cylinder of charge. It's in insulator of radius R, and has a volume charge density
\rho = \rho_{0}(\frac{r}{R}) while r<R.
I need to find the electric field at all points first off. I'm not entirely sure how to go...
Homework Statement
There is a charged dielectric sphere of radius R. I center it at the origin of an x,y,z cartesian system. It has a charge density rho=3Qcos(theta)/4*Pi*R^3. Q and R are given.
I need to find the Electric field at a point that is outside the sphere.
Homework...
I can't figure out what is the motion of a charged particle at rest at origin in a constant uniform magnetic field when it is subjected to an oscillating electric field starting t = 0. I need to find the equations representing its motion.
Homework Statement
Solve for the Electric force exerted on a Particle a distance z above a uniform ring of charge Q.
Determine the potential energy of the charge where the charge lies directly in the center.
Homework Equations
F=kq1q1/r^2
The Attempt at a Solution
Knowing E=F/q I...
Homework Statement
This is primarily a question that I'm trying to program into python. I want to know the potential at some distance (x,y) from the center of a square plane.
Homework Equations
V = integral (k/r) dq
The Attempt at a Solution
The way I see this mathematically is a...
Homework Statement
Determine the electric force exerted on a negative point charge –Q located a distance d away from a line segment of charge, extending from –L/2 to +L/2 along the x-axis. The line segment has a non-uniform charge distribution, lambda(x)=lambda_0*x .
Homework Equations...
The Problem is as follows:
A ring of diameter 7.50 is fixed in place and carries a charge of 5.50 uniformly spread over its circumference.
A) How much work does it take to move a tiny 3.80 micro-columb charged ball of mass
2.00g from very far away to the center of the ring?
B) What...
They say accelerating charged particles emit electromagnetic radiation(emr). Ok. Take a mass m, apply a force F on it and it will cause acceleration. All the energy i apply on m will go to its kinetic energy, so conservation of energy is obtained. Now take a charged particle p, apply force f and...
Homework Statement
A sphere of radius a carries a uniform charge density \rho_0 in one hemisphere and the opposite charge density -\rho_0 in the other hemisphere. The charged sphere produces an electric potential \Phi (r,\theta,\phi). For r>>a, the potential to leading order is of the...
Homework Statement
A dipole consisting of charges +/- e 220 nm apart is placed between two very large (essentially infinite) sheets carrying equal but opposite charge densities of 125 uC/m^2.
a) What is the maximum potential energy this dipole can have due to the sheets, and how should it...
Imagine I am sitting on a lead ion and fly happily through the LHC tube :approve:. Suddenly I feel an strong force pushing me sideways to the left. A physicist sitting in the lab frame tells me later, that I have been going through a dipole magnet yoke with field lines from top to bottom...
Homework Statement
Two parallel, very long strips are uniformly charged with charge densities \rho_{s} and - \rho_{s}, respectively (\rho_{s} > 0). The cross section of the structure is shown in the figure attached. The width of the strips is the same as the distance between them (i.e. a)...
Homework Statement
A line charge of uniform charge density Q' is distributed along a square contour a on a side. The medium is aie. Find the electric field intensity vector at a point that is at a distance a from each of the square vertices.
Homework Equations
The Attempt at a...
Homework Statement
A uniformly charged insulating rod of length 14.0 cm is bent into the shape of a semicircle. The rod has a total charge of -7.50\muC. Find (a) the magnitude and (b) the direction of the electric field at O, the center of the semicircle.
Homework Equations...
Hi. I want to know if I did this on the right way. The exercise says: An infinite hollowed cylinder, with the cavity being another concentric cylinder has a uniform charge density. Find the electric field and the potential over all space.
And this is how I proceeded. I've called the inner...
Hello all,
I got this question off mastering physics and was unable to understand it. I eventually gave up to concentrate on other assignments and asked for the answer. I was unable to come up with more than one answer I thought possible without resorting to trial and error.
Answer: Vx,Vy,Vz =...