In physics, a charged particle is a particle with an electric charge. It may be an ion, such as a molecule or atom with a surplus or deficit of electrons relative to protons. It can also be an electron or a proton, or another elementary particle, which are all believed to have the same charge (except antimatter). Another charged particle may be an atomic nucleus devoid of electrons, such as an alpha particle.
A plasma is a collection of charged particles, atomic nuclei and separated electrons, but can also be a gas containing a significant proportion of charged particles.
Homework Statement
How much work is required to squeeze a uniformly charged spherical shell from a radius of ##r## to a radius of ##r−dr##, if
(a) the total charge q is a constant,
(b) the sphere is kept at a constant potential, e.g. grounded.
(c) Are the answers the same or different...
Where do the static electric field lines appear to originate from a charged black hole, non rotating, Reissner–Nordström metric?
I've had a number of qualified physicists say they appear to come from the center of the black hole, but people on these forums have said that doesn't make sense...
Homework Statement
Problem 1.24 (this is unimportant; it's just a different way of calculating the potential energy of a solid cylinder) gives one way of calculating the energy per unit length stored in a solid cylinder with radius a and uniform volume charge density ##\rho##. Calculate the...
Homework Statement
Consider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis such that the x axis runs through the center of each disk. (Figure 1) The disk centered at x=0 has positive charge density η, and the disk centered at x=a has negative charge...
Homework Statement
Calculate the electric field at point ##P## if the distance from the center of an infinitely long, charged rod to point ##P## is ##a = 0.6m##; the charge density equals ##\lambda = -CX^2##, ##C=10^{-3}C/m^3##. Show all steps in finding the equation of the field, then find the...
the problem:
Say we have the entire space uniformly charged. Then, the E field experienced by any point is zero, from symmetry.*
But, it means that for any Gaussian surface, the flux though it is zero even though the charge enclosed is clearly not. Gauss' law seems to disagree with symmetry, but...
Homework Statement
Two otherwise identical, small conducting spheres have charges +6.0 µC and −2.0 µC. When placed a distance r apart, each experiences an attractive force of 9.1 N. The spheres are then touched together and moved back to a distance r apart. Find the magnitude of the new force...
Hi. I put the simplest case. A capacitor formed by two flat metal plates faced in the vacuum, with charges of the same absolute value in both plates. In this case, the electric field of the capacitor, in a static situation, has an energy expressed in the following way.
E=\dfrac{q^2}{2 \ C}
Now...
It is given that an uncharged capacitor is connected with a battery. Clearly, it gets quickly charged and flow of current stops in the circuit. What is the reason behind a charged capacitor in completely restricting the flow of current ?
Homework Statement
Consider a solid spinning sphere of negative charge in a non-uniform magnetic field:
http://d2vlcm61l7u1fs.cloudfront.net/media%2F2f8%2F2f840122-3d7f-4af3-98a7-efa9b2e7d26a%2FphpBOhfaK.png
(the rotation illustrated at the top is supposed to be counter-clockwise).
What...
I am about to teach some of an introductory course for bachelor students in the field of medical physics. More specifically the topic "Photon and charged particle interactions with matter" in respect to radiation therapy (again, medical physics). I know there are a lot of topics within radiation...
Homework Statement
Homework EquationsThe Attempt at a Solution
Potential at the center of conducting charged sphere surrounded by a grounded shell
If I take another sphere of charge –q of radius a with uniform charge density, then the potential on the spherical region from the radius a to...
We all think that electric current is the electrons flow without mass transfer in conductor, i.e. charged lepton flow.
But charged baryons flow can also deemed as "electric" current, e.g. ionic current.
My question is that charged baryons flow can induce magnetic field? Same amperes, then same B...
Homework Statement
The electric field in an xy plane produced by a positively chatged particle is 7.2(4x+3y)N/C at the point (3, 3)cm and 100x N/C at the poiint (2, 0)cm. Note, x and y used here are unit vectors.
find the x and y co-ordinate of the charged particle
what is the charge of the...
Homework Statement
A charged, straight line/rod of infinite length has a Discrete uniform distribution of charge, has a linear density of λ and is at a distance d from a sphere with a radius of R.
Find the entirety of the Electrical Flux that is caused by this charged rod, which passes...
Homework Statement
One capacitor with a capacity of 6μF and another with a capacity of 12μF are charged by being connected in a series to a voltage source with an electrive force of 660V. After that, we disconnect the capacitors from the source and connect them to each other.
What is the charge...
Dear all,
I'm studying a charged exciton system, composed by two ground states (electron spin up 1/2 and down state -1/2) and the two heavy hole trion state (up 3/2 and down -3/2). In this case the light which couples two ground states and the trion state has right/left polarization, to...
A non ionized neutral gas should still emit thermal radiation.,say xenon. Is this solely because of electron transitions ? I ask this because a lot of sources attribute the emission to charge particle acceleration,so neutral atoms should not do this,is this right?
The spin magnetic moment of a charged, spin-1/2 particle is
$$g \frac e {2m} \frac \hbar 2$$
where g is the g-factor (2 for any particle in tree-level approximation, 2.00231930436182 for electron),
e is charge
m is mass
##\frac \hbar 2## is spin
But with zero mass this expression does not make...
Homework Statement
Two particles having mass m separated by a distance d is uniform magnetic field as shown in the figure . If v=qBd/m, at what instant does collision occur. The coulomb force between the particles is switched off.
Homework Equations
T=2πm/qB
The Attempt at a Solution
For the...
Homework Statement
A proton beam is going from north to south and an electron beam is going from south to north, so in which direction is the electron beam deflected
Homework EquationsThe Attempt at a Solution . [/B]
I thought an electron...
Homework Statement
Homework EquationsThe Attempt at a Solution
Velocity of particle at any time t is
v = vxi + vyj
Net Force on the particle F = (2qvyB)i + (2qvxB)j
Net acceleration of the particle = F/m
Magnitude of net acceleration = (2qvB)/m
Particle has an initial velocity as well...
Homework Statement
A sphere of radius R has a volume charge density proportional to distance from center. Total charge contained in the sphere is Q. If electric potential at infinity is taken to be zero , potential at it's center is
Homework Equations
Here given are
ρ= βr where β is a constant...
Homework Statement
Many experiments in physics call for a beam of charged particles. The stability and “optics” of charged-particle beams are influenced by the electric and magnetic forces that the individual charged particles in the beam exert on one another. Consider a beam of positively...
Homework Statement
Homework Equations
The right hand curl rule gave me the counterclockwise direction for the magnetic field but I am confused about how is it going to work for the particle. Thanks
The Attempt at a Solution
Homework Statement
The figure below shows a spherical shell with uniform volume charge density ρ = 1.87 nC/m3, inner radius a = 15.0 cm, and outer radius b = 2.60a.
[Reference Picture]
What is the magnitude of the electric field at the following radial distances?
Homework Equations...
Homework Statement
Posting here because it was over a previous homework assignment and I don't understand the solution that was given out. For reference, the problem is 2.27 is Griffiths' Introduction to Electrodynamics. It reads "Find the potential on the axis of a uniformly charged solid...
Homework Statement
A particle with charge q1 = -6.75x10^-6 is located at (0,3.25x10^-2 m ) and a second particle with charge 3.2x10^-6 is located at (0,-2.75x10^-2 m) what is the electric potential due to the two charges at the origin?
Homework Equations
V = kq/r
The Attempt at a Solution
So...
1. 2. The force due to gas pressure = p(V0/V) dA
The force due to atmospheric pressure = p dA
The force due to electrostatic repulsion = undetermined
3. Though I don't surely know what the expression for electric force should be, I took an educated guess and solved using the relation...
Homework Statement
Homework Equations
##
u = 1/2 a x^2\\
ke = 1/2 b {\dot x }^2\\
then\\
\omega = \sqrt{\frac{a}{b}}
##
The Attempt at a Solution
##
U = \frac{2 k q ^2}{l} + \frac{k q^2}{2 l cos \frac {\theta}{2}}
##
from that it is easily seen that equilibrium position is when the...
Homework Statement
On the diagram, a charged particle of charge 0.000003 C and mass 0.000007 kg moves across the
electric field 6760 V/m with initial speed 40 m/s. When its x coordinate is 93.3 cm, its y coordinate is (in cm)?
Homework Equations
y=(e*Em*x^2)/(2*m*v^2), where Em is electric...
Hi All,
Consider an elastic sphere which is homogeneously charged and suferring an harmonic inflation and deflation.
Is it correct to explain the theoretical result that it does not emmit radiation, even though all of its charge elements are accelerating, as a systematic effect of destructive...
Let's say that there's nothing else in this universe except for 2 charged particles: q1 and q2.
q1 is moving relative to q2, moving at velocity v. I've read that a magnetic field is made by a moving charge. In this case, the moving charge q1 is moving relative to q2. What would the magnetic...
Homework Statement
A sphere with a charge of -3.5 x 10^-9 C and a radius of 1.0x10^-2 m is located at the origin of a coordinate system.
What is the electric field 1.75 x 10^-2 m away from the center of the sphere along the positive y axis?
Homework Equations
e = kQ/r^2
The Attempt at a...
How can I calculate the moment of inertia of a spinning top with charge Q submerged in an electromagnetic field?
I've already calculated it for the case with no charge, but I don't know how to do this.
In a setup I am designing, I have two conducting plates of similar charge, separated by 1mm of vacuum. The "top" plate, which is mechanically fixed, is charged to -10kV. The other "bottom" plate, which is electrically isolated, but not mechanically fixed (can move toward the "top plate"), is...
Homework Statement
I have 2 thin rods of length L in the axial plane(x axis), they're of the same uniform linear charge distribution and are separated by a distance a .
Homework Equations
$$E = \frac{kq} {R^2}$$
$$F = qE$$
The Attempt at a Solution
[/B]
Let 0 be one at one end of the two rod...
Homework Statement
Capacitors C1 = 6.97 uF and C2 = 1.54 uF are charged as a parallel combination across a 281 V battery. The capacitors are disconnected from the battery and from each other. They are then connected positive plate to negative plate and negative plate to positive plate.
A)...
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...
Please explain me the following answer
Q)When a current is passed through a conductor, will it be charged?
A)Charge carriers participating in conduction in a conductor are not excess charge carriers. The number of free charge carriers is equal to the number of opposite charge on the nearly...
Homework Statement
This is the question: An electron at rest of mass 9.11 × 10−31 kg is accelerated through a potential difference of 350 V. It then enters some deflecting plates of 50 V with dimensions as shown. Calculate the distance x (deflection of the electron) (Charge on an electron is...
Homework Statement
Without introducing any coordinates or basis vectors, show that, when a charged particle interacts with electric and magnetic fields, its energy changes at a rate $$\frac{dE}{dt}=\vec{v}\cdot \vec{E} $$
Homework Equations
##E_{kin} + E_{pot}= En =## const (1)...
Homework Statement
Homework EquationsThe Attempt at a Solution
E=kq/r2
so when the distance increase E should decrease?
I know this is wrong, but can someone explain why? Thanks
Ques : If a neutral metal sphere placed on an insulating stand is touched by a charged plastic rod , does the metal sphere acquire any charge ?
I think that by simply touching the sphere by insulating rod , the metal should not acquire any charge as the charges on the rod are immobile unlike a...
Homework Statement
A + q = 5 pC charge is uniformly distributed on a non-conducting sphere of radius a= 5 cm , which is placed in the center of a spherical conducting shell of inner radius b = 10 cm and outer radius c = 12 cm. The outer conducting shell is charged with a -q charge. Determine...
An earlier thread inspired me to imagine the following scenario.
Consider observer A, black hole B and black hole C. A's past and future remains far enough away from any EH so that A is classical. In the past, A and B were stationary relative to each other. C approaches from infinity on a...
I was wondering how much I would have to charge a basket ball of mass M, so that I would begin to feel the inertia of the electrostatic field energy. We can calculate the total electrostatic field energy surrounding the charged basket ball, call it E. Can we then equate this energy E with a mass...
Homework Statement
A sphere of radius R has total charge Q. The volume charge density (C/m^3) within the sphere is ρ = ρ_0 (1 - r/R).
This charge density decreases linearly from ρ_0 at the center to zero at the edge of sphere.
a. Show that ρ_0 = 3Q/πR^3.
b. Show that the electric field inside...