How do we find out the potential difference between two equal and opposite charged (conducting) parallel plates mathematically? Let the charge on a plate be 'Q', Total area of a plate be 'A', the distance between the plates be 'd'.
I need a direct mathematical solution please, I've come across...
I understand that there is no electric field inside a charged conductor, but; I don't understand why a connection to ground made on the inner surface of said sphere will flow current. Is this not correct?
I understand that electrically charged objects such as a rubber balloon or even the human body can hold several thousands of volts.
What's troubling me is that I know the current that results from an electrostatic discharge is not enough to cause serious damage or kill a human, yet if you touch...
In this video:
exactly in the 7:05, the narrator says that is dangerous to charge the inductor and disconnect it of the circuit and that is necessary provide anoter path for the current flow. The same phenomenon happens with a charged capacitor too? Is necessary provide a path for a charged...
A uniformly charged disk has radius R. It was a charge density and is located above the conducting plane at a distance a. The disk is parallel to the conducting plane. Find the electrostatic potential at (0,0,z) in the region above the plane. The conducting plane is grounded
What kind of magnetic field does a moving, electrically charged foam ball create? What are the relevant variable determining the properties of the magnetic field? Its charge? velocity? (Assume it's in space and charge is in the shape of a point)
Are electrons or ions analogous to this foam ball?
Homework Statement
I want to know whether the magnitude of the charged electric field in the parallel plate-air capacitor is always delta/epsilon...
In the last image, I have to put E=delta/2epsilon unlike the two situations above. What's the difference between the last one and the first...
Hello physics world,
I am having a hard time understanding a rather simple thing. Let's consider the electric field produced by a uniformly charged ring of radius R, at a position $z$ along the ring's axis. From Coulomb's law in every textbook, we know that E_z∝Qz/(R^2+z^2). That is, there...
Homework Statement
Find the potential outside a charged metal sphere (charge Q, radius R) placed in an otherwise uniform electric field E0. Explain clearly where you are setting the zero of potential.
2. The attempt at a solution
So for this problem I figured I could exploit superposition and...
A uniformly charged ring of radius 10.0 cm has a total charge of 58.0μC. Find the electric field on the axis of the ring at the following distances from the center of the ring. (Choose the x-axis to point along the axis of the ring.).
I know the equation I want to use is E=...
Homework Statement
Consider two small balls with charges +q and -q, connected by a spring with spring constant k. A homogeneous electric field E has been turned on. E is collinear with the line that connects -q to +q. By how much will the string stretch?
Homework Equations
Coulomb's Law...
Homework Statement
Figure 24-21 shows four pairs of charged particles with identical separations. (a) Rank the pairs according to their electric potential energy (that is, the energy of the two-particle system), greatest (most positive) first. (b) For each pair, if the separation between the...
Homework Statement
A positively charged wire is bent into a semicircle of radius R, as shown in the figure below.
The total charge on the semicircle is Q . However, the charge per unit length along the semicircle is non-uniform and given by λ=λocos(θ)
What is the relationship between λo, R...
Homework Statement
A ring of radius R lies in the x-y plane with the center at the coordinate origin. The ring is uniformly charged with with a uniform charge density +λ.
a) Charge +q is brought along the z-axis from -∞ to the center of the ring. What is the increase in total potential energy...
I want to ask Is conducting shell same as uniformly charged thin spherical shell?
Because while finding Electric field due to uniformly charged thin spherical shell surface charge density is taken the same happens in case of conducting/metallic shell all the charges reside on surface similarly...
Homework Statement
Two charged beads are on the plastic ring in Figure (a). Bead 2, which is not shown, is fixed in place on the ring, which has radius R = 63.3 cm. Bead 1 is initially on the x axis at angle θ = 0o. It is then moved to the opposite side, at angle θ = 180o, through the first and...
Homework Statement
A thin ring (radius r = 1.41 cm) carries a charge Q = 8.57 pC distributed uniformly along its length. The ring lies in the y-z plane, so the axis through its center is the x-axis .
A small detector is moving along the positive x-axis toward the ring at velocity v = -0.543i...
Homework Statement
Suppose a hollow metal shell (outer radius 25.3 cm, inner radius 5.2 cm) carries charge Q = -7.99 pC. There is a tiny hole in the sphere, so small that it does not affect the charge distribution or the electric field created by the charge.
An proton is released from rest at...
The electric field emanating from charged particle travels at the speed of light; fine. To pose an unrealistic thought experiment (a more realistic, if more complicated, thought experiment could replace this one, but the unrealistic one gives the idea), if a proton were to suddenly pop into...
Homework Statement
Find the electric potential of a ring of radius R that is charged uniformly with a linear charge density λ.
Homework EquationsThe Attempt at a Solution
I wasn't sure which section to post this in but I finally landed here. It isn't really a problem that I'm troubled solving...
Title doesn't let me be sufficiently clear so let me do it here:
The potential for a continuous charged object is ##V(\vec{r})=k\int\frac{dq}{|\vec{r}-\vec{r'}|}## and similarily for the electric field. This makes sense outside of the charged object but not inside!
Namely, I say it doesn't...
Homework Statement
A thin flat washer lies in the x − y plane, with the center at the coordinate origin. The washer has an inner radius R1 and an outer radius R2 (so it looks like a disk of radius R2 with a concentric circular cut-out of radius R1). The surface of the washer is uniformly...
Homework Statement
A charged spherical insulating shell has inner radius a and outer radius b. The charge density on the shell is ρ.
What is the magnitude of the E-field at a distance r away from the center of the shell where r < a?
Homework Equations
Gauss' Law
The Attempt at a Solution
I...
Not sure if the title accurately conveys my questions, but my question is, in such a situation that an object is charged and in hanging from an insulating thread, will it eventually lose its charge? This seems extremely simplistic, and my instinct is to say of course, but for whatever reason...
Homework Statement
a small spherical insulator of mass 6.00×10−2 kg and charge +0.400 μC is hung by a thin wire of negligible mass. A charge of −0.220 μC is held 0.290 m away from the sphere and directly to the right of it, so the wire makes an angle theta with the vertical. What is the angle θ...
If:
1) you know the vertex and individual charge of each node and
2) voltage is the difference in electric potential energy between two nodes
How do you calculate the voltage in a vacuum?
Homework Statement
Find potential of a uniformly charged rod of length 2a
Homework Equations
-Superposition
The Attempt at a Solution
dV=\frac{kλdx}{r}, r=x
V=λk\int\limits_{-a}^a \frac{1}{x}\mathrm dx=0
Potential at point B is zero. Is this correct?
Homework Statement
A student designs an experiment to measure how electrically charged a plastic rod is. She knows a charged rod will deflect a stream of water from a tap.
The student plans to measure the angle of defection of the water stream when she brings the rod towards it.
She expects...
Homework Statement
a) 21.4-nC of charge is placed on a 4.8-m long steel tube with a d = 5.9-cm diameter. What is the magnitude of the electric field as a radial distance of r = d / 3?
b) What is the magnitude of the electric field as a radial distance of r = 20 d?
I was able to determine the...
Homework Statement
Two parallel charged wires are in vacuum. Width of wires is equal to the distance between them. Calculate electric field in the middle (point A).
Homework Equations
Superposition
The Attempt at a Solution
Using superposition, y components on vector E are cancelled. I get...
Random thought...
Is it possible for a charged particle to travel fast enough, or simply enter a magnetic field at just the right time in the magnetic wave's cycle, to pass through the magnetic field unaffected?
If so, what is that calculation.
If not, why not.
Roy
Another problem that yet I haven't managed to solve, finding the electric field due to a charged sphere of radius R using integration
Homework Equations
Continuous charged distribution $$|\vec E| = \frac{1}{4\pi\epsilon_0}\displaystyle \int\frac{\rho (r') dV}{r'^2}$$
The Attempt at a Solution...
Homework Statement
I'm reading Griffith-Introduction to electrodynamics, In chapter 2 about electrostatics, I've encounter few problems that I've managed, to solve (luck !), I'm asked to calculate the electric field due to a charged disk of radius R in a point P above the center (Pic)
Homework...
Homework Statement
What is the distance between two charges of - 5.00 C each if the force of electrostatic repulsion acting on them is 4.00 x 10^3 N?Homework Equations
F=kq1q2/r^2
The Attempt at a Solution
i got 7.5km... I am not sure if that's right
Homework Statement
1) Describe and explain what happens to the electron beam on the screen of a teltron tube as the EHT(electrical high tension) voltage increases from 3000V to 3500V.
2)What is the effect of E field on light waves?
Homework EquationsThe Attempt at a Solution
1) The beam...
Homework Statement
A charged particle of charge q with arbitrary velocity ##\vec v_0## enters a region with a constant ##\vec B_0## field.
1)Write down the covariant equations of motion for the particle, without considering the radiation of the particle.
2)Find ##x^\mu (\tau)##
3)Find the...
Homework Statement
A small ball has mass 3.4x10^-8 kg and charge of 2.0x10^-5 C. It enters a box with initial speed 1.2x10^4 m/s. The point where the charge leaves the box is at a voltage 350kV higher than the entry point. Find the speed of the ball as it leaves the box. [/B]Homework Equations...
Homework Statement
What is the voltage drop across the 1000 Ohm resistor when capacitor is fully charged?
Homework Equations
V(t) = {V_i}*e^{-t/RC} = {V_i}*e^{-t/Tau}
The Attempt at a Solution
In RC circuit experiment, initial is 9V and final is 2V. The voltage drop should be difference...
1. Two small spheres with masses m1 and m2 hang on weightless, insulating threads of length L1 and L2. The two spheres carry charges of q1 and q2 (like charges) respectively. The spheres hang such that they are at the same level with one another. The threads are inclined at angle theta 1 and...
I want to calculate the total energy lost when a charged capacitor discharges to a neutral capacitor. It is my understanding that voltage will remain constant in the discharge, but current will decrease. What factors should be accounted for in any energy losses that would occur in this process?
The problem that I'm working on states: "An electron has initial velocity (12j +15k)km/s and a constant accelaration of (2.0 x 10^12 i) m/s^2 in a region of uniform electric and magnetic field. If B equals 400i microTeslas, find electric field E.
I know how to do most of the components of this...
Homework Statement
Find electric potential at a center of charged rod with charge 'Q' and length '2a' if referent point is at infinity.
Homework Equations
Electric potential of a point charge: V=kQ/r
Electric potential via electric field: integral (Edl)
The Attempt at a Solution
I used...
I know there are some threads discussing about the Lorentz force equation but this is something different I came across and I couldn't find anyway to derive that formula.
To be specific I'm talking about a charged particles in a magnetic field, where F=vqB and everything that is moving has...
Hello,
I wanted to study the behaviour of electrons in a spatially bounded system. I want to have a larger number of electrons, but I took 3 to start with and arrived at this system of coupled equations:
\begin{align}\begin{bmatrix}
\mathbf{\ddot{x_{1}}}\\ \\
\mathbf{\ddot{x_{2}}}\\ \\...
Homework Statement
An infinitely long cylindrical surface of circular cross-section is uniformly charged lengthwise with the surface density σ = A cosΦ where Φ is the polar angle of the cylindrical coordinate system whose z axis coincides with the axis of the the given surface. Find the...
In electrostatics, why is it that identical spheres that are touched for a brief moment or connected by a conducting wire (wire not gaining any charge) should have an equal charge? Why is that they come in an equilibrium of charge?
For example - If we take 2 identical spheres one bearing a...
Hello. Sorry if my question sounds somewhat weird (I'm a mathematician, not a physicist). I am trying to understand something for my work. I would like to know what is your opinion about it.
Assume that there are two electrodes inside a vacuum tube, with a difference of potential between them...
Hi guys, having a hard time figuring out where to start on a plasma physics related problem.
Homework Statement
An infinitely long metallic cylinder with a radius of ##r_0## is immersed in a Maxwellian plasma. An electric potential, ##\phi_0##, is applied to the cylinder. Assuming that the...
How to calculate the potential at the apex of uniformly charged right circular cone (charge only at the curved surface), having height "h" and radius "R" and lateral height "l" and change density sigma?