Electric potential Definition and 1000 Threads

Homework Statement A point charge q_1 = 86.5 uC is held fixed at the origin. A second point charge, with mass m = 5.90×10−2 kg and charge q2 = -2.95 uC, is placed at the location (0.323 m, 0) 1) Find the electric potential energy of this system of charges. 2)If the second charge is released...

Homework Statement The configuration is as follows: there's a charge q separated by another charge q (the distance is a) which is separated by a charge -q. And it continues to infinity. The distance of separation is always "a" and all the charges are linearly situated. I must show that...

The thin, uniformly charged rod shown in the figure below has a linear charge density λ. Find an expression for the electric potential at P. (Use k_e for ke, lambda for λ, a, b, and L as necessary.) Homework Equations dV=k*dq/r lambda*dx=dq The Attempt at a Solution I integrated...

I know of the equations can be found here: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/engfie.html And the equations are similar both involving permittivity, but I don't know their fudemental relationship. Could someone help? Thanks in advance.

Homework Statement Consider two concentric conductive hollow spherical shells. The inner shell has radius R1 and holds the charge +q. The outer shell has charge R2 and holds charge -q. Determine an expression for the potential difference between the shells.Homework Equations V = q / (4 pi ε0...

Suppose you have an two objects A and B having different potentials \phi_A, \phi_B and voltage V=\phi_A- \phi_B. Suppose you allow current to flow from one object to another for some period of time according to Ohm's Law (V=IR) Now what is the new value of the voltage? thanks

Homework Statement The drawing shows four point charges. The value of q is 1.96 µC, and the distance d is 0.93 m. Find the total potential at the location P. Assume that the potential of a point charge is zero at infinity. Image of problem is attached. Homework Equations V=kq/r The...

If we apply the formula for the capacitance of a sphere (C= 4PEr, where P=pi, E= permittivity of free space, and R= radius of the earth), and apply the values we get a value of around 700 microfarad. If we now work out the potential on the surface of the Earth (V=q/c) we get a fairly high value...

The electric potential of the ground is taken to be zero. We will get electric shock if we complete the circuit by touching the wire and standing on the ground simutaneously.(I know the shoes cannot protect us as the resistance is too small) But what does this "ground" really mean? Does it...

Homework Statement Explain why in the absence of any other charged bodies, the potential will be zero along the centre line between plates Homework Equations - The Attempt at a Solution not sure how to explain it. is this because that the electric field in that region is zero?

[SOLVED] Electric Potential of Uniformly Charged Cone I'm actually a senior in physics graduating this year, but wanted to review some E&M before grad school in the fall. I was apparently never assigned this problem during my sophomore year, but it's from Griffiths. I'm also aware that this has...

Homework Statement A uniform electric field of magnitude 375 N/C pointing in the positive x-direction acts on an electron, which is initially at rest. After the electron has moved 3.2 cm, what is a. the work done by the field on the electron b. change in potential energy associated with the...

Homework Statement 6. A positive charge is initially at rest in an electric field and is free to move. Which of the following statements is true about the movement of the positive charge? a. Start to move to a position with higher potential and higher potential energy b. Start to move to...

Homework Statement What is the electric potential a distance x above the center of a ring of charge Q with a radius R? Derive the electric field from this relationship.Homework Equations ΔVab=-∫E·ds The Attempt at a Solution

Homework Statement What is the electric potential a distance x above the center of a ring of charge Q with a radius R? Derive the electric field from this relationship. Homework Equations V=k_e\intdq/r = k_e\intdq/(\sqrt{}a^2+x^2) The Attempt at a Solution V=...

Homework Statement A positive charge of +q1 is located 3.00m to the left of a negative charge -q2. the charges have different magnitudes. a) on the line through the center of the charges, the net electric field is zero at a spot 1.00m to the right of the negative charge. Determine the relative...

Homework Statement Three pointcharges are located at the following points on an x-y coordinate system, Q1 = -3 uC at (0,0) q2 = 10.0 uc at (0,0.5m), and q3 = -3 uC at (x,0) . What is the total electric potential at the point (x/2,0) where x is in units of m. At what value does x have to be...

A nonuniform linear charge distribution given by λ = bx, where b is a constant, is located along an x-axis from x = 0 to x = 0.50 m. Suppose that b = 25 nC/m2 and V = 0 at infinity. (b) What is the electric potential at the point y = 0.30 m on the y axis? E = kq/r^2 V = -EdSince there's no...

Homework Statement What is the electric potential at point P, the center of an equilateral triangle with side length of 2a and total charge of Q? Use infinity as the reference point. Homework Equations ∆v = -∫E∙ds v(r)= kq/r The Attempt at a Solution I already have the...

Ok so background story, everyone failed an exam in my physics 2 class, so as a way to gain points we had to complete a packet of 35 physics2 problems, and i am having issues with only 6 problems. 1. Does a charged particle in an electric field always move along a field line? if yes, explain; if...

Homework Statement From Young and Freedman's book University Physics, ch 23, problem 23.54: In the Bohr model of the hydrogen atom, a single electron revolves around a single proton in a circle of radius r. Assume the proton remains at rest. ++ (the rest is irrelevant to my question)...

Homework Statement 1. A positive charge of magnitude 2 microC is at the origin. (b)How much work must be done by an outside agent to bring a 3 microC charge from infinity to r=4, assuming that the 2 microC charge is held fixed at the origin ? (c) How much work must be done by an outside...

Homework Statement what is the electric potential a distance x above the center of a ring of charge Q with a radius R surrounded by another ring of charge -Q with a radius 2R? Homework Equations V= kQ/sqr root(a^2+x^2) The Attempt at a Solution I know the above equation would be...

Homework Statement Given two 1.80 µC charges at +/- 0.800 m from the origin and a positive test charge q = 1.30x10-18 C at the origin. What is the electric field at the origin due to the two 1.80 µC charges? What is the electrical potential at the origin due to the two 1.80 µC charges? related...

Homework Statement Consider a hollow metallic sphere of finite thickness, with the inner radius a and the outer radius b. A point charge q is placed inside the sphere at a distance a/2 from the center of the sphere (the sphere is insulated). a) What is the potential at a point r outside the...

Hello everybody, I have to calculate the electric field and the potential for a charge q placed at distance d from an infinite plane charge distribution \sigma. For the electric field there's no problem, but how I can get the electric potential for an infinite charge distribution?

I'm not asking anyone to solve my homework for me but I am stuck on this problem. The problem includes finding the time is takes for an electron with a horizontal initial speed v m/s to make it through a region with an electric field X V/m pointing vertically upward. One equation I found...

Homework Statement Two particles, of charges q1 and q2 are separated by distance d. The net electric field due to the particles is zero @ x=d/4. With V=0 @ infinity, locate (in terms of d) any point on the x axis (other than infinity) at which the electric potential due to the two...

Homework Statement Two points (A and B) are shown in a constant electric field of E = 850 N/C. The distance between A and B is L = 2 m. The line joining the two points makes an angle of 40 degrees with the electric field. Determine the electric potential difference (in Volts) between points A...

Homework Statement the volume charge density Pe= Po (1- (r^2/r0^2)) the sphere has a radius of r0 and r is measured from the center for a point P inside the sphere (r<r0), determine the electric potential V if V=0 at infinity Homework Equations E= Qencl/ eps0*A= kQ/r^2 Qencl=...

A few questions about electric field here: 1. Why do charges have to be on the outer surface of the conductor? 2. Why no charge on the inner surface of a hollow conductor? 3. If charges cannot be inside the conductor, how come the electric potential is constant throughout the conductor when...

Again an electric potential question ? Homework Statement Question # 1 A charge of 7.034 nC is uniformly distributed along the x-axis from −4 m to 4 m. What is the electric potential (relative to zero at infinity) of the point at 5 m on the x-axis? Homework Equations...

Homework Statement Two point charges , Qz= +5.00 nanoC and Q2= -3.00 nanoC, are separated by 35.00 cm. a) What is the potential energy of the pair? What is the significance of the algebraic sign? b) what is electrical potential at a point midway between the charges? (here I'm supposing i'd...

Homework Statement A nonconducting sphere has radius R = 2.70 cm and uniformly distributed charge q = +7.00 fC. Take the electric potential at the sphere's center to be V0 = 0. (a) What is V at radial distance r = 1.45 cm? (b) What is V at radial distance r = R? Homework Equations E...

Homework Statement Calculate the speed of a proton that is accelerated from rest through a potential difference of 135 V. 1 km/s (b) Calculate the speed of an electron that is accelerated through the same potential difference. 2 Mm/s Homework Equations V=U/q The Attempt at a...

A test charge of +1.0 x 10^-6 C is 40 cm from a charged sphere of 3.2 x 10^-3 C. a) How much work was required to move it there from a point 1.0 x 10^2 m away from the sphere? b) How many electrons were gained or lost from the test object. Relevant equations: Ee = kq1q2/r N = q/E...

I was in my Electrodynamics lecture last week, still working the Laplacian and Poisson equations, when we discussed an infinite parallelpipid (infinite in the x direction, length a and b in the y and z direction respectively) with a potential of \Phi=\Phi_0 at x=0 plane and every other face...

A solid insulating sphere has radius a = 3.2 meters and total charge Q = 3.6 Coulomb's. Calculate the potential difference between the center of the sphere and a point r = 0.64 meters from the center of the sphere. (A positive answer represents the center is at a lower potential, a negative...

My teacher said so, but I just don't understand why. Is it because of the free movement of electrons inside the conductor?

I recently found out how to calculate the potential energy of a charged insulated sphere of radius R and charge density rho. I would like to know how to calculate the potential energy for other geometric objects, such as a line of charges, a sheet of charges, or a pyramid of charges. I don't...

Hi I have a question about something I read. In a circuit, I was told that electrons move from a low potential to a higher potential but an electron's potential energy decreases. In other words an electron's potential increases while its potential energy decreases as it moves. How does this...

Homework Statement Find the electric potential a distance of .5 x 10^-10 m from the proton of a hydrogen atom Homework Equations V= kQ/r The Attempt at a Solution I know how to answer the question, because I know which equation to use. What I do not understand is, where the...

Homework Statement There were two parts to this problem a) if you do 12 J of work to push 0.001 C of charge from point A to point B in an electric field, what is the voltage difference between A and B? I already solved this part, I got \DeltaV=12,000 V b) When the charge is...

Homework Statement I've just come across a lot of concept questions about electric potential energy and electric potential, and I can't differentiate between the two really. I know electric potential is also called voltage. Here's one question for example: How can electric potential be...

Homework Statement A, B, C and D are corners of a square in empty space, sides 12 micrometres, charges +5nC and -5nC are placed at corners A and B respectively. What is the change in the electric potential from D to C? (take care with sign) A third charge of -2nC is initially at D then...

Homework Statement Questions and solutions are given. However, I have some questions. 26.47. Can anyone explain to me in more detail this solution? For instance, why do they reverse the order and add them together (equations 2 and 3)? And how does one obtain this obvious Calculus...

Homework Statement A test charge of +1.0x10^-6 C is 40cm from a charged sphere of 3.2x10^-3 C. How much work was required to move it there from a point 1.0x10^2 m away from the sphere? Homework Equations W = \DeltaE W = Ee2 - Ee1 The Attempt at a Solution Ee2 =...

I just read this article (http://physics.bu.edu/~duffy/PY106/Potential.html). I am stuck on just one line where it says that potential energy is in negative...please read this and explain... """""[FONT="Microsoft Sans Serif"]An example : Ionization energy of the electron in a hydrogen atom...

Homework Statement Hello: I was wondering if someone can help with the following: The xy, xz, yz plane are all at equipotential. A charge Q is placed equidistant from all these planes. So I think the coordinate of this Q would be (d, d, d) given some d. If I wanted to find a...

Homework Statement Charge Q1 and charge -3Q are 1 meter apart. Consider only points on the axis between the charges. A.) Where is V=0? B.) Where is E=0? Homework Equations V=\frac{kQ}{r} The Attempt at a Solution A.) The positions where the electric potential would be zero would...