Electric potential Definition and 1000 Threads

Two metal balls of mass m1=3.41g (diameter=3.41mm) and m2=7.88g (diameter=7.88mm) have positive charges of q1=1.41nC and q2=9.19nC. A force holds them in place so that their centers are separated by 8.79mm. What will their velocities be after the force is removed and they are separated by a...

Homework Statement A hollow spherical conductor, carrying a net charge +Q, has inner radius r1 and outer r2=2r1 radius (see the figure ). At the center of the sphere is a point charge +Q/2. A.Write the electric field strength E in all three regions as a function of r: for r>r2,r1<r<r2...

If the pos charged particle moves from point 1 to 2 I believe that the electric potential energy will increase. My reasoning for this is because I know electric potential energy is found by knowing how much work it takes to move a charged particle from point 1 to point 2. Because a pos charge...

Homework Statement Three charges are distributed as follows: http://tinypic.com/r/1fviq0/5 How much work must an external force do to move them infinitely far from each other? Homework Equations W = -\DeltaU = (kq_{1}q_{2})/r The Attempt at a Solution So what I did was find...

Homework Statement The electric potential V in a region of space is given by the following expression, where A is a constant. V(x, y, z) = A (6x^2 - 7y^4 + 6z^2) (a) Derive an expression for the electric field vector E at any point in this region. (Use the following as necessary: A, x, y, and...

Homework Statement Two metal balls of mass m1 = 2 g (diameter = 2 mm) and m2 = 6 g (diameter = 6 mm) have positive charges of q1 = 2 nC and q2 = 7 nC, respectively. A force holds them in place so that their centers are separated by 8 mm. What will their velocities be after the force is...

A charge of -2.580 mu C is located at (2.575 m, 4.742 m), and a charge of 1.440 mu C is located at (-2.730 m, 0). Find the electric potential at the origin. q_1= -2.580*10^-6 C q_2= 1.440*10^-6 C k = 8.99*10^9 N*m/C^2 r_2= -2.730 m V= (k*q_1)/r_1 + (k*q_2)/r_2 So first i...

Homework Statement You have two concentric cylinders. The inner cylinder has radius a and the external cylinder has radius b. Find the electric potential in the region between the cylinders. [Hint: The final equation takes the form V(r) = constant1 - constant2 ln(something) ]...

Homework Statement Imagine that a particle with positive charge +q is placed on the x-axis at x=+a and a particle with negative charge -2q is placed on the x-axis at x= -a. Find the potential at all points along the y axis. Homework Equations delta phi = -E dot dr The Attempt at...

Homework Statement A nonconducting rod of length L = 6.00 cm and uniform linear charge density λ = +2.28 pC/m. Take V = 0 at infinity. What is V at point P at distance d = 8.00 cm along the rod's perpendicular bisector? heres the diagram best I could show it: .P...

Homework Statement The potential outside of a spherical conductor is given by V = keQ/r. Using Er = -dV/dr, derive the electric field outside this charge distribution. The Attempt at a Solution I attempted to take the negative derivative of V being -1/(r2) and then multiplying it...

Homework Statement The four 2.23 g spheres shown below have q+ve=15.0 nC and d=3.28 cm. The 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...

This is more of a question about a concept than the actual homework problem. The homework problem gives diagrams of rods with varying charge densities, but there's one important concept I don't yet understand, and it's stopping me from moving on in the problem. My question is even more...

Homework Statement An electron is released from rest on the axis of a uniform positively charged ring, 0.174 m from the ring's center. If the linear charge density of the ring is +0.150 nC/ m and the radius of the ring is 0.348 m, how fast will the electron be moving when it reaches the center...

1. Homework Statement [/b] Consider two thin, conducting, spherical shells as shown in cross-section in the figure below. http://capa.physics.mcmaster.ca/figures/sb/Graph25/sb-pic2565.png [b] The inner shell has a radius r1 = 17.2 cm and a charge of 10.3 nC. The outer shell has a radius r2 =...

Homework Statement Two concentric spherical conducting shells of radii a = 0.360 m and b = 0.540 m are connected by a thin wire, as shown in the figure below. http://capa.physics.mcmaster.ca/figures/sb/Graph25/sb-pic2550.png If a total charge Q = 10.6 µC is placed on the system, how much...

I'm not understanding how the equation of the electric field due to an electric dipole is derived. This is how my book derives it: Say you have electric dipole composed of charges +q and -q a distance d apart, with the negative charge at the origin of the z-axis. Then, at any point z, the E...

Homework Statement 10. If an electron is released from infinity, how fast will it be traveling after falling to within 10-8m of a charge q of 4.8*10-19? a. 1.32*104m/sec b. 8.7*104m/sec *c. 2.76*105m/sec d. 4.01*105m/sec Homework Equations ΔU=ΔVq V=kq/r conservation...

Homework Statement Two charged spherical conductors are connected by a long conducting wire, and a charge of 22.0 µC is placed on the combination. If the first sphere has a radius of 4.49 cm and the second has a radius of 5.68 cm, what is the electric field near the surface of each sphere...

Homework Statement Two charges q = 4.0μ C are fixed in space a distance d = 4.0 cm apart, as shown in the figure. With V = 0 at infinity, what is the electric potential at point C? You bring a third charge q = 4.0μC from infinity to C. How much work must you do? What is the potential...

Homework Statement Examine the diagram provided, Sphere 1: q=3.0x10-4C Sphere 2: q=-3.0x10-4C Sphere 3: q= 3x10-4C a) Find the total electric potential energy of the charge distribution b) Find the total electric potential at point Z Homework Equations EE=kq1q2/r...

Homework Statement Find the strength of the electric field midway between two point charges, q1=5.78nC and q2=-5.78nC separated by 68cm. Homework Equations Kq1q2/r2=F \epsilon=F/q The Attempt at a Solution I just tried the problem as a two step equation but it's giving me a huge...

Homework Statement What's the difference between electric potential energy and electric potential? Can someone explain these concepts, simply? I don't understand any definitions I've found on the internet. Any help would be appreciated. Homework Equations N/A The Attempt at a Solution N/A

Homework Statement Three conductor spheres (radii R) are located aligned with their centers separated by the same distance d (d>>R). The speheres at both sides are connected to ground, and the middle one is given a charge Q. Find the potential of this last one. Homework Equations E = -Grad V...

Homework Statement Two frictionless pucks are placed on a level surface as shown, at an initial distance of 20m. Puck 1 has a mass of 0.8 kg and a charge of + 3x10^-4 while puck 2 has a mass of 0.4 kg and a charge of +3 x10^-4. The initial velocity of puck 1 is 12 m/s [E] and the...

hello , I want to get the electric potential function with displacement V(x,y,z) as Ex= -8 -24xy Ey =-12x^2+40y Ez= zero when I perform intergration on Ex and Ey seperately then sum them , the answer is wrong , why ?? I mean when I do this and then perform partial derivatives again ...

Homework Statement A +3μC charge with a mass of 2 x 10 ^-4 kg is moving with a speed of 5 m/s at a position where the electric potential is 1000 V. How fast will it be moving when it gets to a position where the electric potential is 200 V? Assume energy is conserved. Homework Equations...

Electric potential --- doubt in sign convention Homework Statement Revered members, I know dV = -E.dx so E = -dV/dx So E should be E = -V/x . But while deriving capacitance of a parallel plate capacitor when dielectric medium is introduced we use E = V/x. But how E = V/x? Homework...

When we setup the Schrodinger equation for the hydrogen atom we use the classical electric potential. It seems that we would need a new potential instead of mixing QM and classical. Is this just a very good approximation or is there something subtle.

Say we have a spherical shell of outer radius b and inner radius a. The shell has a total charge +3q and at it's center is a point charge of charge -q. I know that the E field for r>b would simply be: E = (3q-q)/(4πr^2ε0) and thus the electric potential inside the shell must be the same as the...

What will be the total electric potential energy of two concentric spheres. Will it be = [P.E. of Inner sphere] + [ P.E. of Outer sphere] + [ Energy required to bring outer sphere from infinity to the present position(i.e. position concentric to inner sphere) ] OR it Will...

I am confusing about dealing with the vectors in integral boundaries of the electric potential; ^{b}_{a}∫E.ds where a and b are vectors. For example, if I would calculate the potential for outside region of a sphere along z-direction, I would use E=\frac{ρR^3}{3ε_{0}z^2}\hat{z}, and...

A hollow metalic cylinder of radius r and length l, has potential V0 over its surface. The axis of the cylinder coincides with the z axis, and the cylinder is centered at the origin. The cylinder is placed paralel(the electric field parallel with z axis) to an otherwise uniform electric field E...

Homework Statement Find the electric potential inside and outside a spherical capacitor, consisting of two hemispheres of radius 1 m. joined along the equator by a thin insulating strip, if the upper hemisphere is kept at 220 V and the lower hemisphere is grounded Homework Equations...

yes, energy = work, but how does electric potential energy (U) = Vq (electric potential and charge) relate to work (W=Fd), specifically. An example would be most helpful!

Homework Statement calculate the electric potential for the following: A cylindrical cable with a center rod of diameter a surrounded by a gap and a thick pipe with inner and outer radii b & c. The charge distribution on the inner rod is ρ = k cos(sπ/2a), and the outer rod has a uniform...

Homework Statement How do I calculate the Field Strength if I know the Potential? Homework Equations E = -\nablaV V = Electric Potential E = Electric Field Strength The Attempt at a Solution There's a problem in which I calculated the Potential, it's constant however. So according...

1. Electric potential inside a conductor / outside a coaxial cable Electric Potential inside a conductor(spherical) is a constant, although electric field is zero. How does that make sense given: Given V=- \int E \cdot dl? The integral should be 0. Even if you consider constants of integration...

Homework Statement The electric potential immediately outside a charged conducting sphere is 250 V, and 10.0 cm farther from the center the magnitude of the electric field is 440 V/m. (c) Determine all possible values for the radius of the sphere. (Enter your answers from smallest to...

Δv=v? what is the electric potential in a conductor? LETS set the conductor be a shell carrying charge 15nC, then what is the electric potential inside the conductor? should it be just finding v=kq/r? Or we have to find the Δv? Thanks

Homework Statement What should I do when I calculate the potential of point charges at the point of one of the point charges? Homework Equations The definition of a potential from point charges are: \phi(\textbf{r}) = (4\pi \epsilon_0)^{-1}\sum_{i}[q_i...

Homework Statement I have an expression for electric potential. Can I multiply this by mass to turn it into potential energy? Homework Equations W=Fs ? The Attempt at a Solution

Homework Statement At a certain distance from a point charge, the magnitude of the electric field is 500 V/m and the electric potential is -3.00 kV. (a) What is the distance to the charge? (b) What is the magnitude of the charge? Homework Equations The Attempt at a Solution a) 6 meters b)...

Excuse me, may i know how should one calculate the electric potential of two conductors placed together? one inner sphere(radius a) together with another outer shell(radius b). Why is the "electric potential between the sphere and shell" equal to the electric potential in the sphere? LEts put...

Homework Statement In an imaginary sphere with radius R, there exist uniformly distributed space charge ρ. Find the potential in all points in space, bounded by this sphere. (r<R). Dielectric is air. ******Must use Poisson or Laplace equation****** Homework Equations \nabla\cdot\nabla ={\Large...

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I'm given the following problem: A particle with charge q is located at x=-R and a particle with charge -2q is located at the origin. Prove that the equipotential surface that has zero potential is a sphere centered at (-4R/3,0,0) with radius r=2/3R. I started by dividing the length between...

Find the electric potential for an axial quadrupole: point charges q, -2q, q over the z axis at distances l,0,l from the origin. Find the electric potential only for distances r>>l and demonstrate that the potential is proportional to one of the zonal armonics. Well, I found at wikipedia that...

Hey, So I pretty much don't understand why certain concepts work when dealing with electric potential. Suppose we have an infinite plane with some positive charge density, and the magnitude of the E field at an distance z from the plane is defined as E = (σ)/(2ε) (so the field is uniform...

We have a piece of a cylinder of infinite length and radius R, charged with a uniform and positive volumetric density of charge p. Compute: a) Difference of electric potential between the axis of the cylinder and its surface. b) Work to carry a charge q from the axis to the surface of the...