Surface charge density Definition and 81 Threads

Homework Statement A specified charge density sigma(theta)=kcos(theta) is glued on the surface of a spherical shell of radius R. find the resulting potential inside and outside of the sphere. Homework Equations The Attempt at a Solution This is a worked example in Griffiths. The...

Homework Statement When a shower is turned on in a closed bathroom, the splashing of the water on the bare tub can fill the room's air with negatively charged ions and produce an electric field in the air as great as 1000 N/C. Consider a bathroom with dimensions 2.3 m x 3.6 m x 1.6 m. Along...

Homework Statement The figure shows a portion of an infinitely long, concentric cable in cross section. The inner conductor carries a charge of 6 nC/m and the outer conductor is uncharged. (part 5 of 6) What is the surface charge density inside the hollow cylinder? Answer in units...

Homework Statement A large plane having uniform charge density has an electric field just outside the plane that points directly toward the plane with magnitude 1.50×10^4 N/C . What is the surface charge density? Express your answer with the appropriate unit Homework Equations I am...

Homework Statement A point charge, Q, is located @ (0,0,d) above infinite conducting plane that lies in xy plane and is maintained at ground potential. Find: a.) surface charge density as a function of x and y on conducting plane, and b.) total charge induced on conducting plane...

1. A spark occurs at the tip of a metal needle if the electric field strength exceeds 4.00×106 N/C, the field strength at which air breaks down. What is the minimum surface charge density for producing a spark? 2. surface charge density = Q/A 3. The answer is 3.54*10-5 C/m2. How was this...

Homework Statement A sphere with excess charge of 1.5 x10 -7 Coulombs, An outer radius of 2.5cm and inner radius of 1.5 cm ( a cavity ). The question is to find the surface charge density on the inside surface. I'm totally at a loss on this one and couldn't find how to solve it...

A small, nonconducting ball of mass 1.4E-6 kg and charge 1.9E-8 C hangs from an insulating thread that makes an angle of 32 degrees with a vertical, uniformly charged nonconducting sheet. Considering the gravitational force on the ball and assuming the sheet extends far vertically and into and...

Homework Statement An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm2, separated by a distance of 1.60 mm. 1. If a 25.0 V potential difference is applied to these plates, calculate the electric field between the plates. 2. What is the surface charge density...

Homework Statement A square plate of copper with 50.0-cm sides has no net charge and is placed in a region of uniform electric field of 80.0 kN/C directed perpendicularly to the plate. Find: (a) the charge density of each face of the plate and (b) the total charge on each face Homework...

Calculate the dipole moment of a spherical shell of radius 'a' whose surface charge density is σ=σ0(1+cos(θ)). The origin is at the center of the sphere. What I know: 1) p=∫r'*ρ*dV' I'm having trouble understanding how to transform this equation so that I can calculate the dipole moment...

Homework Statement The surface of a sphere of radius a is charged with a constant surface density \sigma. What is the total charge Q' on the sphere? Find the force produced by this charge distribution on a point charge q located on the z axis for z > a and for z < a.Homework Equations The...

Homework Statement A surface is defined by a hemisphere of radius b, centered on the x-y plane. The surface charged density is given by \rho_s(z) = z (\frac{Coul}{m^3}). Homework Equations \rho_s(z) = z = Rcos(\theta) = bcos(\theta) (\frac{Coul}{m^3}). 3. Question My question is...

I need the answer to this question A charge belt, 50cm wide, travels at 40m/s between a source of charge and a charging object at a rate corresponding to 100microA . Compute the surface charge density on the belt Some one told me the answer may be 5 microC/m2 but how ??

Homework Statement A 1.0-mm-diameter wire has 1000 excess electrons per centimeter of length. What is the surface charge density? Homework Equations \eta = Q/A The Attempt at a Solution \eta = (100000 * 1.6*10^-19)/(\pi * (5*10^-4)2) But that gets me 2.037 * 10^-8 C/m^2 The...

Homework Statement Test the convergence of the series for the surface charge density: \sum^{\infty}_{s=0}(-1)^s(4s+3)\frac{(2 s -1)!}{(2s)!} Homework Equations (2s-1)! = \frac{(2s)!}{2^s s!}; (2s)! = 2^s s! Stirling's asymptotic formula for the factorials: s! = \sqrt{2 \pi s}s^s...

1. This is a 2D Laplace eqn problem. A semi-infinite strip of width a has a conductor held at potential V(0,a) = V_0 at one end and grounded conductors at y=0 and y=a. Find the induced surface charge \sigma (y) on the conductor at x=0. 2. Homework Equations . The potential is...

Homework Statement The electric field strength just above one face of a copper penny is 2310 N/C. What is the surface charge density on this face of the penny? Homework Equations Surface Charge Density = Q/A The Attempt at a Solution The only thing that I can understand is that surface...

Homework Statement Given long cylinder of radius 0.2m lies along the z-axis and carries a uniform surface charge density if 10m C/m2. Calculate the flux passing through a window at (rho) = 2m, pie/4 <= (phi) <= 3pie/4 , 2<=z<=4.Homework Equations The Attempt at a Solution not sure where to start..

Homework Statement an electron with mass m = 9.11 x 10^-31 is released at rest near a very large positively charged non-conducting charged sheet lying horizontally. What should the surface charge density on this sheet be to keep the electron balanced at rest above the ground? Is it above or...

At a point where there's surface charge density sigma, by what amount is the electric field for a spherical shell of charge discontinuous? I thought about using E = 2*pi*k*sigma (although isn't that just true for a charged disc?)

Ok, the question asks: An electron close to a large, flat sheet of charge is repelled from the sheet with a 2.1×10^−12 {N} force. Q. find the surface charge density on the sheet in C/m^2 What i did was use the formula F = qe with 2.1e-12 for the force and 6.1e-19 for the charge of an...

If given variables A, d, V, and constant 8.854e-12. How can I find the magnitude of surface charge density. I originally used Sigma = Q/A but I am not getting the right answer. Any help is appreciated! :)

[SOLVED] Electric Potential Homework Statement 20. [1pt] A 30.6- cm-diameter conducting sphere is charged to 538 V relative to V = 0 at r =infinity. What is the surface charge density sigma? Correct, computer gets: 3.11E-08 C/m^2 = Sigma, r=.153 21. [1pt] At what distance will the potential...

A 10.0g piece of styrofoam carries a net charge of -.700 x 10^-6 C and floats above the center of a large horizontal sheet of plastic that has a uniform charge density on its surface. What is the charge per unit area on the plastic sheet? I've been trying to think a way to model this with a...

You have a summer intern position at a laboratory that uses a high-speed proton beam. The protons exit the machine at a speed of 2.10 times 10^6 m/s, and you've been asked to design a device to stop the protons safely. You know that protons will embed themselves in a metal target, but protons...

Homework Statement A long, straight wire has a linear charge density of magnitude 3.6nC/m. The wire is to be enclosed by a thin, no-conducting cylinder of ouside radius 1.5cm, coaxil witht he wire. The cylinder is to have positive charge on its outside surface with a surface charge density...

I have two problems that I need help working on. The first one is An electron is released from rest 2.0 cm from an infinite charged plane. It accelerates toward the plane and collides with a speed of 1.0 x 10^7 m/s. What is the surface charge density of the plane? The second problem is: A...

I still don't understand from the msg given... another explanation any1 Hey I have two questions... the first one I did I got wrong but am really unsure why... I used sigma=Q/A but didnt get the right answer... I got that the answer was 1.3277E7 but I am so far off it aint funny! Please...

An electron remains stationary in na electric field directed downward in teh Earth's gravitational field. If the electric field is due to charge on the two large conducting plates oppositely charged and separated by 2.3cm what is the surface charge density assumed to be uniform on the plates...

Helllo everyone I'm stuck. A sphereical metal satelliete 1.3m in diameter accumulates 2.4x10^-6 C of charge in one orbital revolution. Find the resulting surface charge density. This is a simple plug in chug problem i think...I know the charge and radius but i can't finda formula that works...