The problem says
Verify by direct integration that
F= qE = - q^2/(16*pi*epsilon_0*d^2) in the "x unit" direction
is the resultant of the Coloumb force between q and the induced charge described by
sigma_f(y,z) = -qd/(2*pi*(d^2+y^2+z^2)^3/2
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Okay, I am not sure...
In "Classical Electrodynamics - 3rd Ed.," J.D. Jackson has an exercise, 1.10, to derive the mean value theorem of electrostatics. Does anyone know of a derivation which is located on the web?
Pete
hi,
this is a great forum here and i was wondering if anyone could lend a helping hand , it would be great.
im currently studying at univercity for electronics engineering and have been given some physics questions to work onover the holidays. I ahve spend quite some time on this question...
Electrostatics problem
Hello!
The problem I'm trying to get help on is the following:
You have an evenly charged circle with the total charge Q and radius R. There is also a point-charge q located a (thats a symbol, not an article) meters from the center of the circle (the point charge is...
I have a little doubt. why is there an inverse square law in electrostatics?why not some other than the inverse square? is there any relation/connection between the charges and the inverse square?
the below figure make small angles theta1 and theta2 with the vertical.
Figure 21-50
(a) If Q1 = Q, Q2 = 3Q, and m1 = m2 = m, determine the ratio theta1 / theta2.
(b) If Q1 = Q, Q2 = 2Q, and m1 = m, and m2 = 4m, determine the ratio of theta 1 / theta 2.
I don't get the forces that are...
griffiths electrostatics problem
if you have the text on you, I'm looking at question 2.46 (in the third edition).
i am given
V(\mathbf{r}) = A\exp (-\lambda r)/r
i found that
\mathbf{E} (\mathbf{r}) = A\exp (-\lambda r)(\lambda /r + 1/r^2) \hat{r}
the solution for \rho...
Three point charges of +2μC, +3μC and +4μC are at the vertices of an equilateral triangle ABP, respectively, having sides of 10cm. What is the resulting force R acting on the +4μC charge?
the hint in class is to use the law of cosines
this is how i set it up
force acting on 4uc from...
Just got out of my E&M class lecture about Coulombs Law, I'm having trouble getting off of the ground with an electrostatics question:
Question: Three charged particles lie on the x-axis (fig. 1). Particles 1 and 2 are fixed. Particle 3 is free to move, but the electrostatic force on it...
Hello everyone! I've recently been messing around and experimenting with electrostatics and have some questions I can't find answers to. Ok here they are:
1. If I understand this correctly a neutral object is attracted to positive and negatively charged objects. If this is true, why does...
Hey all,
I'm trying to calculate the charge that forms on two adjacent and asymetrical cylinders when a voltage is put between them. The figures I was using was something like 1mm radius for one and 10mm radius for the other, a voltage of about 20kV and a separation of a few cm.
I thought...
Suppose you've got a metal sphere of radius R and it is surrounded by a metal spherical shell with inner radius r_a and outer radius r_b. The metal sphere has total charge Q. The first thing i had to calculate was what the induced surface charges are on the shell. That was pretty easy, but they...
Problem: A metal sphere of radius R carries a total charge Q. What is the force of repulsion between the "northern" hemisphere and the "southern" hemisphere?
My book gives a formula for the electrostatic pressure:
P = \frac{\sigma ^2}{2\epsilon _0}
pushing the surface outwards (and...
Problem: Two spherical cavities, of radii a and b, are hollowed out from the interior of a (neutral) conducting sphere of radius R. At the center of each cavity a point charge is placed -- call these carges q_a and q_b.
(a) Find the surface charges \sigma _a, \sigma _b, and \sigma _R.
(b)...
1. A charged particle was accelerated from rest by a potential difference of 2.50 x 10^5 V. If the particle reached a maximum speed of 2.90 x 10^4 m/s, what potential difference would be required to accelerate this particle from rest to a velocity of 7.25 x 10^4 m/s?
2. The centers of two...
I am having trouble with this problem
There is a sphere haveing nonuniform volume charge desnity p=ar where a is constant and r is radial distance from centre of sphere.
Radius of sphere is R
we have to find electric field at centre of sphere.
Thanx
two small spheres, each with 0.120g, have equal charges placed on them. Each sphere is suspended from the same point by its own silk fibre which are 75.0cm long. The repulsive force between them keep their centres 10.0cm apart. What is the charge on each sphere?
I've got the following problem:
1) We've got a charge -Q at location at the origin and two charges of the same magnitude but opposite sign at (a,0,0) and (0,a,0). Determine the total force on the charge at the origin.
2) We've got the same charge -Q at the origin but now a charge of 2Q at...
In proving \nabla \times \vec{E} = \vec{0} for electrostatic fields, Griffiths switches directly from the equation
\iint_{\mathcal{S}}(\nabla \times \vec{E})\cdot d\vec{a} =0
To the conclusion \nabla \times \vec{E} = \vec{0}. As for Gauss's theorem, I am wondering if there is a more...
can anyone suggest me books on electrostatics and electromagnetism at a graduate level as iam preparing for indian institute of technology (iit).
it would be a great help for me.
1. When a piece of cellulose acetate (transparency) is rubbed by stroking it for about 10 to 20 times in one direction and brought towards a piece of rubbed polythene strip,
i. state what happens, and
ii. explain the observation.
2. Before rubbing a polythene strip with a soft cloth...
hi.
i want to ask one problem about electrostaics.
i will be very thankful to u if u post reply about this question.
Suppose we have one moving electron ,approaching towards a fixed electron.
If they 1mm apart when the moving electron has the velocity of 1000cm/s.
How far will be the...
This is my understanding of induction:
If a negatively charged rod is brought near (but not touching) a neutral electroscope, the positive charges will move towards the rod, and the leaves will become negatively charged and repel. If grounded, electrons will exit the electroscope, and the...
potential = 0
particle of mass m charge q is projected with kinetic energy K at a nucleus mass M charge Q that is at rest. it is shot with 'perfect aim' (along the x axis).
find the distance x to the nucleus when dx/dt of particle is zero.
i know that F = dK/dt = cqQ/x^2 where c =...
Two charges, one -q and one +q are located at x=-a and x=+a, respectively. Use a spreadsheet to plot the electric field along the x asix. Part of this problem is choosing a reasonable range for the plot.
How do I go about doing this?
I'm stuck on a Electrostatic problem which I just don't seem to get.
The left-hand sphere has a positive charge Q and the right-hand sphere has a negative charge -Q. Charge is distibuted uniformly over each of two spherical volumes with radius . One sphere of charge is centered at the origin...
Two small spheres of mass m are suspended from strings of length L that are connected at a common point.
One sphere has charge Q, the other has 2Q.
The strings make angles (theta1) and (theta2) with the vertical.
(a) How are theta1 and theta2 related?
(b) Assume theta1 and theta2 are...
Hi...
This problem is not an uncommon one and you might easily encounter it in any book that has challenging problems on this subject. I am throwing it here for newbies to Electrostatics who would like to try their hand at solving a puzzler...
If a point charge +q is placed at y = 0 and an...
we meet again .. here ,i have a question about electrostaatics...
in a particular experiment, a high voltage is created by charging an isolated metal sphere,the sphere has diameter 42 cm and any charge on its surface may be considered as if it were concentrated at its centre. The air...
Two conducting spheres (of the same size), one negatively charged, one positively charged are at a finite distance apart. Magnitude of neg charged sphere < pos charged sphere.
When the spheres are brought together and touched, and brought back to initial distance, what is the net force...
Wow, it's been a long time since I've done any physics, but my sister asked me for help on a question and I am stumped.
The problem is:
What I remember is since the two charges have different signs, the third charge must be placed outside of the other two. It cannot lie in-between the...
OK, for fun I was solving a simple electrostatics problem, where a charge q is sitting some distance "x" from a grounded conducting sphere.
You can use the method of images for this, giving you an image charge q' located at a distance x' from the center of the sphere. The answer I get is...