Homework Statement
A metal sphere with radius r_a is supported on an insulating stand at the center of a hollow, metal spherical shell with radius r_b. There is charge +q on the inner sphere and charge -q on the outer spherical shell. Take the potential V to be zero when the distance r from the...
Homework Statement
Homework Equations
torque = MxB.
The Attempt at a Solution
as the ring is completely outside the magnetic field, B=0... even if its not, M=iA, and since the charge is static, i=0.
so, as per my thinking, ans. should be 0...
An iron arrowhead has an initial charge of 2.100e-6 C. How many electrons are required to give it a charge of −2.82 μC?
I know that e (the elementary charge) = +/- 1.602E-19 C
And N is the number (or excess charge)
I tried solving this problem 2 ways. The first way:
(2.100E-6 -...
Homework Statement
In case of having a conductor (spherically shaped and uncharged) and an irregularly shaped hole inside it with a charge at an arbitrary point, I am asked to find the electric field right outside the conductor sphere.
Homework Equations
Gauss's law ∫EdA=...
If you go to the relativistic Hamiltonian, what allows us to go from
\dot{\vec{P}} = - \frac{\partial \mathcal{H}}{\partial \vec{x}} = e (\vec{\nabla} \vec{A}) \cdot \dot{\vec{x}} - e \vec{\nabla} \phi
to
\frac{d}{d t}\left(\frac{m \dot{\vec{x}}} {\sqrt {1 -...
Lets say I am standing in the middle of a charged ring. And I am standing on a turn table.
Now I start to rotate in the center. From my point of view do I perceive a B field.
I mean I would have a velocity component.
Homework Statement
There are three charged sheets with various charge densities. The following link shows a diagram, and solutions (not mine; these are some professor's solutions but I don't understand them yet):
http://www.phy.syr.edu/courses/PHY212.08spring/HW/WHW-3.pdf
Draw vectors at...
Homework Statement
An electron orbits a 3.0 cm diameter metal ball 5.0 mm above the surface. The orbital period of the electron is l2.0 micro seconds. What is the charge on the metal ball?
r=1.5cm or .015m
R=.02m (.015+.005)
Orbit=12*10^-6s
Homework Equations
E=(kq/r)R which gives...
A positron and an electron are simultaneously fired from paralle particle accelerators a distance d apart, with equal velocity v.
One calculation says that each one will, being a moving charged particle, induce a magnetic field
B=\frac{\mu_0 q v}{4\pi d^2}
and since the other is moving in...
Homework Statement
Two capacitors C1 & C2 are independently charged to potentials V1 & V2. Then the two capacitors are connected to each other, where each positive plate is connected to the other's negative plate. What is the final charge on capacitor 1 in terms of C1, C2, V1, V2?
Homework...
Homework Statement
Two tiny spheres of mass m = 7.90 mg carry charges of equal magnitude, 72.0 nC, but opposite sign. They are tied to the same ceiling hook by light strings of length 0.530 m. When a horizontal uniform electric field E that is directed to the left is turned on, the spheres hang...
Homework Statement
A mass m that has net electric charge Q is oscillating along the x-direction on one end of a spring (whose other end is anchored) of relaxed length s0. Suppose that someone then swirches on an electric field E that is uniform in space, constant in time, and which points...
A 20-cm radius ball is uniformly charged to 80 nC.
(a) What is the ball’s charge density (C/m3)?
(b) How much charge is enclosed by spheres at points 5, 10 and 20 cm
from the center?
(c) What is the electric field strength at points 5, 10 and 20 cm from the
center?
ATTEMPT:
part a: i...
Two Capacitors are connected in series (3 microfarad and 6 microfarad) with Vab=10V. Battery is disconnected and the loose ends of wire are connected. What happens to the potential difference?Would it be zero..charge? I can't figure it out...sounds like a short circuit?
Homework Statement
An infinite sheet of charge that has a surface charge density of 25.9 nC/ m2 lies in the yz plane, passes through the origin, and is at a potential of 1.32 kV at the point y = 0, z = 0. A long wire having a linear charge density of 81.1 nC/ m lies parallel to the y-axis...
Homework Statement
Two concentric spherical conducting shells of radii a = 0.360 m and b = 0.540 m are connected by a thin wire, as shown in the figure below.
http://capa.physics.mcmaster.ca/figures/sb/Graph25/sb-pic2550.png If a total charge Q = 10.6 µC is placed on the system, how much...
Homework Statement
Two charged spherical conductors are connected by a long conducting wire, and a charge of 22.0 µC is placed on the combination. If the first sphere has a radius of 4.49 cm and the second has a radius of 5.68 cm, what is the electric field near the surface of each sphere...
Homework Statement
Consider a sphere uniformly charged over volume, apart from a spherical
off-center cavity. The charge density is ρ, radius of the sphere is a, radius of the cavity is
b, and the distance between the centers is d, d < a-b. (a) Find the total charge and the
dipole moment...
Homework Statement
Consider a sphere uniformly charged over volume, apart from a spherical
off-center cavity. The charge density is ρ, radius of the sphere is a, radius of the cavity is
b, and the distance between the centers is d, d < a-b. (a) Find the total charge and the
dipole moment...
I apologize for the brevity but the forums logged me out and ate my entire post. I just want to get the information written down this time.
Homework Statement
We have two charged beads, 12.0cm apart. What are their maximum velocities when released?
Bead A: -5.0nC, 15.0g
Bead B: -10.0nC...
Homework Statement
The work done by an external force to move a -8.5μC charge from point A to point b is 15x10^-4 J. If the charge was started from rest and had 4.82x10^-4 J of kinetic energy when it reached point b, what must be the potential difference between a and b
Homework Equations...
Hi, I am a high school student and I'm planning on entering a regional science fair with an experiment involving electrolytes, magnets, and electric currents. However, I don't understand electromagnetism well enough to fully understand everything that would be going on in the experiment, and as...
Homework Statement
A uniformly charged rod of length L and total charge Q lies along the x-axis as shown.
Find the components of the electric field at the point P on the y-axis a distance d from the origin.
There's also a part b but I should be able to figure it out easily enough...
Homework Statement
http://img716.imageshack.us/img716/7692/picture8sj.png
Homework Equations
ΔEp=QV
Ek=0.5mv2The Attempt at a Solution
I'm making sure I understand what's going on here. Please bare with me.
ΔEp = Ek
.5mv2 = Q(1200+V)
Solving for V, I get -642V.
In a nutshell, is this what...
Homework Statement
If sphere 2 were free to move its initial acceleration would be ___m/s^2
Homework Equations
Two small spheres carrying charges q1 = 7.68 µC and q2 = 5.74 µC are separated by 19.9 cm. The mass of sphere 1 is 10.5 g and the mass of sphere 2 is 15.2 g.
The Attempt at...
Homework Statement
A point particle of mass m carrying an electric charge q is attatched to a spring of stiffness constant k.A constant electric field E aong the direction of spring is switched on for a time interval T (T<<Sqrt(m/k)). Neglecting radiation loss,Find the amplitude of...
hi
i know that the energy of a conducting charged sphere is E=Q²/(8epsilon_0*pi*r) and i know how to calculate this.
now i found that a homogenously charged sphere has E=3/5*Q^2/(epsilon_0*pi*r).
does anybody have an idea how to calculate this? i don't know where this 3/5 come from?
Hello,
Just wanted to check my some of my reasoning to these. If anyone could confirm if these answer I got are right (or point me in the right direction if they aren't!) I'd really appreciate that. Thanks!
1. Homework Statement
(No Relevant Equations, real, & Attempts at Solutions are...
Homework Statement
If you have a uniformly-charged negative hollow sphere of charge, with a positive circular piece of charged shell superimposed on the outside, what is the electric field in the center of the circular piece? Also what part of the field going through the piece's center is...
Hey all,
I was wondering if one of you could help me out with a debacle I'm having.
I'm having trouble reconciling what exactly happens between an orbiting tetherball and the separate scenario of a orbiting particulate charge.
With the particulate charge: you can, given the velocity and...
Homework Statement
Two frictionless pucks are placed on a level surface as shown, at an initial distance of 20m.
Puck 1 has a mass of 0.8 kg and a charge of + 3x10^-4 while puck 2 has a mass of 0.4 kg and a charge of +3 x10^-4.
The initial velocity of puck 1 is 12 m/s [E] and the...
Ok, I thought the only two options in existence were Polar and Non-polar... and I'm being asked which ones are CHARGED? What does this mean?
Example: NH4+ (ammonium), NO3- (nitrate), N2, O2, H2O
Thanks!
A question many of us repeatedly solved in high school goes like this: An electron is accellerated a certain distance by an electric field of a certain strength. Determine its final velocity.
I and my teachers always treated this as a simple F=ma question, but recently it's occurred to me...
Homework Statement
Two square parallel sheets with area>>distance between them have total charges of Q1 and Q2 on them. What is the force between them?
Homework Equations
Q1in+Q2in=0
Q1in+Q1out=Q1
Q2in+Q2out=Q2
Q1out=Q2out
The Attempt at a Solution
I set up 4 equations for the...
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...