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...
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...
If you were to positively contact charge a small ~1 mm diameter sphere using a Van de Graaff generator, and were to charge it sufficiently high enough that field evaporation began to occur, what would happen?
Would the rate of evaporation increase exponentially as the field strength would...
Homework Statement
Two positively charged metal spheres are suspended from the same hook by light strings of equal length, making an angle of 10.0◦ with each other. The charges carried by the spheres are as shown in the diagram. After that, the spheres are brought in contact briefly, then...
Homework Statement
Two conducting concentric spheres of negligible thickness. The radii of the spheres are R_1 and R_2, respectively, with R_2>R_1. A charge q_2 is placed on the external sphere.
A charge q_1 is placed on the internal sphere.
Assume that the electric potential is zero...
There is a similar thought experiment I imagined to help me begin to understand the Bell's spaceship paradox:
Consider two positively charged spheres, placed side-by-side inside a frame S' with a string stretched to the point where it balances the repulsive electrostatic force between them. For...
Homework Statement
Hi everybody! I just started electromagnetism, and I'd like to make sure I get the concepts correctly before going further. I got this homework:
A charge is shared between two spheres. How big must the share of charge relative to one another be, so that there is the maximal...
Homework Statement
Consider two metal spheres, sphere 1 having radius R1 = 20 cm, and sphere 2 having a radius R2 = 10 cm. The two are rather close to one another, separated by a center-to-center distance of only 80 cm. Suppose now that they are connected to each other by a thin wire that is...
Homework Statement
The first part is to calculate the electric field everywhere in space given a body of 2 spheres of radius R and distance d apart (d<R), located on the z-axis, with charge density ρ and -ρ.
Of course when r>>R this is essentially a dipole.
The second part is to approximate the...
Homework Statement
One of two nonconducting spherical shells of radius a carries a charge Q uniformly distributed over its surface, the other a charge -Q, also uniformly distributed. The spheres are brought together until they touch. What does the electric field look like, both outside and...
Hi everyone, I am struggling with gauss law. I understand the basic concept , but I can not relate it to other physics problems. I have this physics problem. I want to really understand physics, but I can't. I have watched a lo of videos but I still don't understand. I am going to give my...
[b]1. Homework Statement []
Two spheres each of 5g, tied to 1.0m strings, repel each other after being charged to +91nC of the two spheres . What is the angle θ they form with the vertical after repulsion
Homework Equations
(1) F = mg...m=5.0g, g= 9.8m/s^2
(2) F = Kq1q2/r^2...
When charged spheres are connected using a conducting wire, the charge will redistribute so as to make the potential constant because the connection makes them a single conductor and conductors are equipotential surfaces.
My doubt was that if the spheres are of different size and have different...
Two charged objects of charge q.
Coulomb's law states that the force on one sphere by the field of the other is:
F = qE
But each sphere experiences that, correct? So the tension for the string would be 2F. Is that correct?
Homework Statement
Two charged spheres are brought into physical contact with each other. Initially, the charge on the first sphere was 2.34 nC, while the charge on the second sphere was -3.23 nC.
a) What is the final charge (in C)on either charge?(2A)
b) How many electrons moved...
Problem
Two small identical small spheres with mass m are hung from insulating threads of length L, as shown in the ﬁgure. Each sphere has the same charge q1 = q2 = q. The radius of each sphere is very small compared to the distance between them, so that they may be considered as point...
Homework Statement
Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.108N when their center-to-center separation is 50 cm. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with...
Homework Statement
Two insulating spheres have radii 0.300 cm and 0.500 cm, masses 0.200 kg and 0.700 kg, and uniformly distributed charges of -2.00 µC and 3.00 µC. They are released from rest when their centers are separated by 1.00 m.
(a) How fast will each be moving when they collide...
Homework Statement
The graph in the figure shows the electric field strength (not the field lines) as a function of distance from the center for a pair of concentric uniformly charged spheres. Which of the following situations could the graph plausibly represent? (There may be more than one...
I need help understanding how to calculate various Electric Field Strengths of several point charges (Q) both inside and along two OVERLAPPING identical spheres BUT with on NON-UNIFORM VOLUME CHARGE DENSITIES (-1p non-overlap density on the outside with -4p density overlapping internally) with...
Homework Statement
Two positive charged spheres, with masses m = 2.0 g and with the same charge 2 µC are connected by a rope that is a distance of 5 cm. The charged spheres are at rest and the system is in static equilibrium.
Homework Equations
N/A.
The Attempt at a Solution
The...
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
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
Two hard rubber spheres, each of mass m = 15.1 g, are rubbed with fur on a dry day and are then suspended with two insulating strings of length L = 4.90 cm whose support points are a distance d = 2.97 cm from each other as shown in the figure below. During the rubbing...
Homework Statement
See figure attached from problem statement.
Homework Equations
The Attempt at a Solution
I've never really done a question of this type so I'm slow to get going.
I'm not sure what is happening when he touches the spheres with the others.
He first touches...
Homework Statement
This is a long one...
Two small spheres with mass m are suspended with insulating threads of length L from a common point. Uncharged, the spheres hang so they touch each other. When given the same charge q they repel each other and hang d distance apart. Assume d is...
Homework Statement
Suppose we are given a metallic sphere with charge Q1 and electric potential V1 and radius a. Then it is surrounded by a metallic spherical shell with charge Q2 and electric potential V2 with inner and outter radius b and c.
What is the charge and the electric potential...
Homework Statement
Two small spheres, each of mass 4.00g, are suspended by light strings 15cm in length. A uniform electric field is applied in the x direction. The spheres have charges equal to -7*10^-8 C and +7*10^-8 C. Determine the electric field that enables the spheres to be in...
Homework Statement
Two spheres, each of radius R and carrying uniform charge densities +\rho
and -\rho, respectively, are placed so that they partially overlap.
Call the vector from the positive centre to the negative centre \vec{d}. Show
that the field in the region of overlap is constant...
Homework Statement
I have found this problem in Feynman Lectures on Physics vol. 2:
Two equal conducting spheres, one with the total charge of +Q and the other with a total charge of -Q, are placed at some distance from each other. What is the force between them?
Homework Equations...
Homework Statement
A conducting sphere of radius, R = 5.5 cm with an excess charge of Q = -35.5 nC is surrounded by a concentric, conducting, spherical shell of inner radius, Rin = 9.5 cm and outer radius, Rout = 11.5 cm that carries an excess charge of q = -13.0 nC...
Hi,
I understand how to get the electric field between two spheres of uniform charge,
\vec{E} = \frac{\rho \vec{d}}{3 \epsilon_0}
which is simplified because at a point \vec{r}, the vectors from each charge center combine to give the distance, \vec{d}, between centers (since \rho's can...
Homework Statement
Two arbitrarily thin concentric coplanar rings of radius a and 2a carry uniformly distributed charge density -Qe and \sqrt{27}Qe, respectively.
Assuming that Z axis coincides with the rings' axes, and that the plane of the rings correspond to z=0, determine the location of...
Two insulating spheres have radii 0.3cm and 0.5cm, masses 0.1kg and 0.7kg and uniformly distributed charges of -2 \muC and 3 \muC. they are released when the distance from their center are 1m apart. How fast will each be moving when they collide.
Firstly, what is the radius of the sphere use...
[b]1. The problem statement, all variables and given known data.
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...
Homework Statement
Four idential charged spheres are located at the corners of a square with side length 2a. The spheres are much smaller than the size of the square (r<<a) and each sphere has a mass m and carries the same charge -Q.
a) What is the total electrostatic potential energy of...
Homework Statement
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 R. One sphere of charge is centered at the origin and the other at x=2R .
Find the magnitude of...
Homework Statement
Sphere A, with a positive charge is located close to another Sphere B, with positive charge. The relative size of the charges is such that the charge on Sphere A = 4 (Sphere B). Locate Point P between the two spheres where the force exerted by the field is zero. State the...
Homework Statement
Two charged spheres, 10.0 cm apart, attract each other with a force of magnitude
3.0 x10^-6 N. What force results from each of the following changes, considered
separately?
An uncharged, identical sphere is touched to one of the spheres and is then
taken far away...
Homework Statement
Two small, positively charged spheres have a combined charge of 14.0 × 10-5 C. If each sphere is repelled from the other by an electrostatic force of 0.9 N when the spheres are 1.7 m apart, what is the charge (in Coulombs) on the sphere with the smaller charge?
Homework...
I have a problem that I am not sure I am working correctly.
There are 2 concentric spheres, the inner of charge -q and radius Ra and outer of charge +q and radius Rb. I am to find the work that is required to put together these two spheres in such a way.
Is it enough to find the energy...
Homework Statement
Suppose that the magnitude of the charge on the yellow sphere is determined to be 2q. Calculate the charge q_red on the red sphere.
Express your answer in terms of q , d_1 , d_2 , theta and .
Hi Guys iv done the first two bits to this problem
the sign of the...
[SOLVED] Charged Spheres
Homework Statement
Two small aluminum spheres, each of mass 0.0250 kilograms, are separated by 80.0 centimeters. How many electrons would have to be removed from one sphere and added to the other to cause an attractive force between the spheres of magnitude 1.00x10^4...
Homework Statement
Three spheres, each with a negative charge of 4.0 X 10^6 C, are fixed at the vertices of an equilateral triangle whose sides are 0.20 m long. Calculate the magnitude and direction of the net force on each sphere.
Homework Equations
Fe = kq1q2 / r^2
The Attempt at...
Homework Statement
Four 1.0 g spheres are released simultaneously and allowed to move away from each other. What is the speed of each sphere when they are very far apart?
The Attempt at a Solution
Here's what I got initial potential energy is equal to final kinetic energy.
0.9866...
Homework Statement
Consider the following configuration of fixed, uniformly charged spheres on an xy coordinate system:
·a blue sphere fixed at the origin with positive charge q.
·a red sphere fixed at the point (d1,0) with unknown charge q_red,
·a yellow sphere fixed at the point...
It's been awhile since I've had physics I, so this problem is giving me a headache.
Q) Two very small conducting spheres, each of a mass 1.0 \times 10^{-4}\,\,(kg) , are suspended at a common point by very thin nonconducting threads of a length 0.2 \,\,(m) . A charge Q is placed on each...