Electric potential Definition and 1000 Threads

Homework Statement As a +6.2-µC charge moves along the x-axis from x = 0 to x = 1.4 m, the electric potential it experiences is shown in the figure, below. (The horizontal axis is marked in increments of 0.1 m and the vertical axis is marked in increments of 5 V.) Find the approximate...

Homework Statement A solid sphere of radius R has a uniform charge density ρ and total charge Q. Derive an expression for its total electric potential energy. Suggestion: Imagine that the sphere is constructed by adding successive layers of concentric shells of charge dq = (4\pi r^{2} dr) ρ...

Homework Statement A proton is released from rest in a uniform electric field of magnitude 40000V/m di- rected along the positive x axis. The proton undergoes a displacement of 0.3 m in the di- rection of the electric field The mass of a proton is 1.672623×10−27 kg A.Find the...

Homework Statement A) How much work would it take to push two protons very slowly from a separation of 2.00*10-10 m (a typical atomic distance) to 3.00*10-15 m (a typical nuclear distance)? B) If the protons are both released from rest at the closer distance in part A, how fast are they...

Homework Statement A rod of length L has a total charge Q uniformly distributed along its length. The rod lies along the x-axis with its center at the origin.What is the electric potential as a function of position alon gthe x-axis for x>L/2 Homework Equations V=∫kdq/r = ∫kQ/r dx I'll...

Homework Statement Consider 2 infinite parallel thin sheets of charge, one in the x=0 plane and the other in the x=a plane. The potential is 0 at the origin. Find the electric potential everywhere in space if the planes have equal positive charge densities of +omega. I honestly don't even...

Since V is the integral of -E. Shouldn't E be derivative of -V. I asked my TA that and he said something about them not having that kind of a relationship, can someone explain this?

Homework Statement Find the electric potential at a point d perpendicular to one end of a line of charge with a positive uniform linear charge density lambda, length L, and negligible thickness. Homework Equations EdA=q/ε_0 A = 2πdL V_f - V_i = -integral(Eds) The Attempt at...

Electric potential is the work done in moving a unit charge from infinity to a point in an electric field. Electric potential due to point charge: V=-\int \vec{E}\cdot d\vec{s} V=-\int E\cdot ds cos \vartheta if the stationary charge is positive and if the test charge is is moved from...

I'm trying to find the electric potential inside a thin (not charged) spheric conductor of radius R, containing a point charge of charge +q exactly in the center. To do this, I'm trying to solve the differential equation \Delta V = 0 (harmonic). Together with the boundary condition V(R) = c...

Hello, in this diagram, the shaded regions are spherical conductors. What's the potential at A=B? Ignoring the outer sphere, it should be kQ/R. When you add the outer sphere, potential at C=D=0 and electric field between B and C is kQ/x^2 so i integrated (kQ/x^2) dx with interval [2R, R]...

Homework Statement For this exercise, imagine a large positive charge +Q fixed at some location in otherwise empty space, far from all other charges. A positive test charge of smaller magnitude +q is launched directly towards the fixed charge. Of course, as the test charge gets closer, the...

Homework Statement Calculate the electric potential due to a tiny dipole whose dipole moment is 6.0×10^−30 C*m at a point 3.6×10^−9 m away for the following cases. a) This point is along the axis of the dipole nearer the positive charge. b) This point is 45 degrees above the axis but...

Homework Statement a large positive charge +Q fixed at some location in otherwise empty space, far from all other charges. A positive test charge of smaller magnitude +q is launched directly towards the fixed charge. Of course, as the test charge gets closer, the repulsive force exerted on...

Hi , am a computer science student , am newbie at physics , and am train to learn but no help , though i took a course in [physics 1] before 3 yrs and i can't remember anything, and now i am taking physics 2 , i took so far , electric fields , Gauss law ,Electric potential , capacitance . book...

Homework Statement A -14.3 nC point charge and a +24.9 nC point charge are 17.4 cm apart on the x-axis. What is the magnitude of the electric field at the two points on the x-axis where the electric potential is zero? Homework Equations V = kq/r E = kq/r^2 The Attempt at a...

Homework Statement A conducting sphere of radius r1 = 10 cm and charge q1 = 2 µC is placed far apart from a second conducting sphere of radius r2 = 30 cm and charge q2 = 3 µC. The two spheres are then connected by a thin conducting wire. What is the potential on the surface of the first...

Hi Forum! I have got a question about the induced scalar potential. I will present the problem from beginning. Lets say we have a Poisson's equation in form: \epsilon \nabla^2 \phi = -4\pi \varrho(r,t) where \epsilon is the dielectric constant. By use of the Fourier transform...

If you look at the diagram right below the headline "Electric potential diagrams" in http://www.physicsclassroom.com/Class/circuits/u9l1c.cfm" (about halfway down), you can see that in circuit A, the electric potential at point A is the same as that at point B, and likewise for points C and D...

Homework Statement . A wire of finite length that has a uniform linear charge density λ=6.22×10-9 C/m is bent into the shape shown below. [PLAIN]http://lulzimg.com/i23/7498af.jpg Answer: 2.98e+02 VHomework Equations V = k integral (dq/r)The Attempt at a Solution So i think my integrals are...

Hi all, I am trying to run a simulation, and I have come across a theoretical question. Let's say that you have an electric charge producing a potential on a conducting surface (let's assume it's infinite). Now, if you make a crack in the surface so that there is a gap (filled with air for...

Homework Statement So here is the problem: http://i.imgur.com/IlklC.png" I already know the answers but I can't figure out why it is the case. How do you know when the forces cancel out? Homework Equations The Attempt at a Solution The answers should be: a) 1,2 b)None c)...

I'm currently reading on my own on these topics for the first time in Fundamentals of Physics by HRW. Electric charge, electric fields, and Gauss' Law were 3 hard chapters, but manageable. In this chapter certain aspects aren't really clear to me at all, and there is more math than physical...

Why is it that we assume electric potential to be continuous across boundaries in electrostatics problems (like, say we have a situation with concentric spheres with different equations for electric field across boundaries)? This is the case as far as I've seen at least. I am in introductory E&M...

Homework Statement A thin rod stretches along the z-axis from z = -d to z=d as shown. Let lambda be the linear charge density or charge per unit length on the rod and the points P1 = (0,0,2d) and P2 = (x, 0, 0). Find the coordinate z such that the potential at P1 is equal to that at P2...

Why is electric potential (voltage) necessary? I can see how creating the electric field as the force per unit charge allows the force on one charge in the field of another charge to be calculated and accounts for the observed action at a distance by forces. I don't see the correlation of...

Homework Statement The plastic rod of length L shown in the figure has the nonuniform linear charge distribution λ =cx, where c is a positive constant. Find an expression for the electric potential at point P on the y-axis, a distance y from one end of the rod. V = ?Homework Equations V = 1/4πϵ

Homework Statement A 5.5 cm radius conducting sphere is charged until the electric field just outside its surface is 1667 V/m. What is the electric potential of this sphere, relative to infinity? Homework Equations V = - integral ( E (dot) dl ) The Attempt at a Solution They only...

Hi all, What is the potential generated by a electric loop? I have found two ways to sovle the problem. One is since the charge density does not change with time, we can write it as \phi(\vec{r_{0}})=\oint\frac{\rho_{static}}{|\vec{r}-\vec{r_{0}}|}d\vec{l}. But what is \rho in this loop? Is...

Homework Statement There are four uniformly charged rods of linear charge density \lambda and length a, arranged as a square. What is the electric potential a distance z from the center of the square and along the symmetrical axis? The Attempt at a Solution...

Homework Statement A charge of +6.0µC at point A is separated 10.0 cm from a charge of -2.0µC at point B. At what locations on the line that passes through the two charges will the total electric potential be 0? The Attempt at a Solution[(+) A] ------------------------------ [(-) B]I know that...

Homework Statement What is the electric potential at the point indicated with the dot in the figure? http://img842.imageshack.us/i/29ex26.jpg/ Homework Equations E = V_c / d ? V = E*s? V = k * q / r ? The Attempt at a Solution I'm really rather confused by this problem...

Homework Statement "Two point charges 2.0cm apart have an electric potential energy -180 microJoules. The total charge is 31 nC. What are the two charges?" Homework Equations V= k * q / r The Attempt at a Solution I understand that V = -180 * 10^-6, k = 9*10^9, r = 0.02m, and the...

Homework Statement A proton is released from rest in a uniform electric field of mag. 90000 V/m directed along the positive x axis. the proton undergoes a displacement of .2m in the direction of the electric field. Find the change in electric potential. Homework Equations no idea...

Homework Statement Which of the following statements about the electric potential inside a metal object are correct? Check all that apply. The potential at any point inside a metal at equilibrium is equal to the potential at the surface, which may be nonzero. The potential is the same...

Homework Statement write down an expression for the electric potential of an electric dipole at a large distance Homework Equations V=(qa cos(theta))/(4 pi epsilon r^2) The Attempt at a Solution is 'r' the distance they are talking about or is it 'a'? either way, if i substitute in...

Homework Statement The image related with this problem is attached. Electric charge is distributed uniformly along a thin rod of length a. with total charge Q. Take the potential to be zero at infinity. Find the potential at the following points (a) point P, a distance x to the right of the...

Homework Statement A charged particle is fixed in place at the origin. A second particle of charge +10^{-6} C is released from rest from very far away (\approx (\infty, 0)). The second particle passes the point (9 m, 0) with a kinetic energy of 1.0 J. Find the electric potential due to...

Homework Statement I previously calculated the electric field for the the arc of the circle and got Ex= Q/2pi^2 e_0 a^2 sin(theta) Ey= Q/2pi^2 e_0 a^2 (1-cos(theta)) I need the electric potential Homework Equations The Attempt at a Solution V=Edr i got an answer interms of theta and since I...

Homework Statement Homework Equations V = (sigma)/(2*epsilon_0)*((z^2 + R^2)^(1/2) - z) The Attempt at a Solution This was my full equation to find the total electric potential: V = (sigma)/(2*epsilon_0)*((z^2 + R^2)^(1/2) - z) - (sigma)/(2*epsilon_0)*((z^2 + r^2)^(1/2) - z)...

Lets say you have a hollow sphere, which is a conductor, and you put some charge on it. I understand why the electric field inside the sphere is 0, but I don't see why the electric potential V is constant. Could someone explain? Thanks

Homework Statement its not a statement but i was wondering: I'm studying the electric potential and when we have a sphere with inner radious r1 and outer radious r2 that has a charge let's say +Q with a cavity and there is a point charge q inside this cavity so the inner surface will have -q...

Homework Statement Are Electric potential and Electrical Potential Energy same or different? Homework Equations The Attempt at a Solution Electric Potential at a point is defined as the amount of work done in moving a unit positive charge from infinity to that point against the...

Homework Statement An electric dipole consists of 1.0 g spheres charged to +(-) 2.0 nC at the ends of a 10-cm-long massless rod. The dipole rotates on a frictionless pivot at it's center. The dipole is held perpendicular to a uniform electric field with field strength 1000 V/m, then released...

electric potential and fields--capacitors Homework Statement What is the potential difference across each capacitor in the figure? What is the potential difference across each capacitor in the figure? Homework Equations Q=C/V Parallel capacitors: add up series capacitors: (1/c +...

Hi, I've been thinking on this for a while, any help would be great :) I have a box placed over a table. There's a pen kept over the box. What I do here is move the pen slowly, without changing its velocity and bring it down on the table. Assuming the table and box are at a height h1...

Electric Dipole and Electric Potential.. and binomial approximation! Homework Statement An electric dipole at the origin consists of two charges +q and -q spaced distance s apart along the y-axis. a.)Find an expression for the potential V(x,y) at an arbitrary point in the xy-plane...

Homework Statement A 13.0 nC charge is at x= 0 cm and a -1.2 nC charge is at 6 cm. At what point or points on the x-axis is the electric potential zero? Homework Equations V=kq/r The Attempt at a Solution 0=13K/r + 1.2K/(r-0.06) 13(r-0.06)=-1.2r r=5.5 cm There is another...

Homework Statement The hydrogen molecular ion , with one electron and two protons, is the simplest molecule. The equilibrium spacing between the protons is 0.11nm . Suppose the electron is at the midpoint between the protons and moving at 1.5 m/s perpendicular to a line between the protons...

Homework Statement \ Hi there! We are currently studying forces and fields in physics and we are in the electrostatics chapter. I am having a bit of trouble fully understanding electric potential energy. The book states that electric potential energy is defined as the work required to move a...