Electric potential Definition and 1000 Threads

Homework Statement A thin, flexible rod of length L = 10 cm carries charge Q = 91 nC uniformly along its length. The rod is then bent into a semicircle, as shown in the figure. Show all work and circle answers. a) Find the electrical potential at the center. b) Now we want to place a single...

There is a negative point charge with a positively charged plate above it and a negatively charged plate below it. Define up as positive and down as negative. When the point charge moves towards the positively charged plate it does negative work. Why? The force the charge experiences is upward...

Homework Statement A charge conducting hollow sphere and a point charge with radius of sphere and distancestors between their centers Homework Equations [/B] 3. The atempt at a solution I am unable to find the potential of Shere in presence of external point charge

Homework Statement A nonconducting sphere of radius r_2 contains a concentric spherical cavity of radius r_1. The material between r_1 and r_2 carries a uniform charge density rho_E(C/m^3). Determine the electric potential V, relative to V=0 at r= infinity, as a function of the distance r from...

Homework Statement Two Charged Objects (Q1= -9.0nC & Q2= 15nC) are fixed in place on the +x-axis. The first charge is 12 cm to the left from the origin the other is 12 cm to the right from the origin. A proton is moved from the origin to a position on the +y-axis 9.0 cm from the origin. a)...

About the formula deltaPE=-qE(deltaX) .. Whats the negative sign means ?

Homework Statement A uniform electric field of 16.9 N/C is directed in the positive x direction. If a charge of -2 micro-coulombs moves 2.2 meters in the negative x direction, how much does the electric potential energy change in micro-joules? Homework Equations ΔEPE = qEd The Attempt at a...

There are two situations with electric potential that confuse me. They're the spots midway between two point charges. If the charges are the same, then the electric field is zero and a test charge would not move if placed there. How can there then be electric potential in that spot? If...

Homework Statement The thin plastic rod shown in the figure has length L = 18.0 cm and a nonuniform linear charge density λ = cx, where c = 14.5 pC/m2. With V = 0 at infinity, find the electric potential at point P1 on the axis, at distance d = 5.10 cm from one end. Figure is attached...

Homework Statement Given: The electric potential function: V= 3x^2 + 2xy +(y^2)z + 20 a) A 4 coulombs, 2kg charge is released from the origin. Determine the speed of the charge at (1,1,-1) Homework Equations Kinetic Energy= 1/2 mv^2 The Attempt at a Solution I tried to use the fact that the...

Homework Statement [/B] Homework Equations dV = -EdX[/B] The Attempt at a Solution Well I was trying to think about the relationship between E and V. So I believe the two V and E are co dependent. So in a situation where the distance and the potential are not changing then wouldn't V...

Homework Statement A total charge Q is uniformly distributed on a thread of length L. This thread forms a semicircle. what is the potential at the center? (assume V=0 at large distances) Homework Equations V = -∫Edl E = kQ/r^2 The Attempt at a Solution V = - ∫Edr = -E∫dr = -Er = - kQr/r^2 =...

Homework Statement If Q1 in the above figure is twice Q2 and both are positive, where can a point of zero potential be found?Homework Equations V = kq/r The Attempt at a Solution I know that eventually I'll have to set it up so that kq/r = kq/r, but my problem is, how do you know where this...

Two charges that are shown: I (4uC) II (-2uC) III In which regions all the line connecting the charges is it possible for the electric potential to be zero? 1. Homework Statement They are 0.01m apart Homework EquationsThe Attempt at a Solution I understand that the 4uC charge and...

Homework Statement A solid, conducting sphere of radius "a" and charge -Q is concentric with a spherical conducting shell of inner radius "b" and outer radius "c". The net charge on the shell is +3Q. Take the zero of electric potential to be at some point at infinity. a.) Use Gauss's law to...

Homework Statement A long, straight power line is made from a wire with radius ra = 1.0 cm and carries a line charge density λ = 2.6 μC/m. Assuming there are no other charges present, calculate the potential difference between the surface of the wire and the ground, a distance of rb = 22 m...

This is my first time using a website like this, so I sincerely apologize if I'm posting in the wrong spot, I'm just in a bind/frustrated with this seemingly easy problem. Homework Statement What is the electric potential at a point 0.80 m away from a point charge of 3.5m C? Homework...

Homework Statement A metallic sphere at ##\phi = 0 ## is surrounded by a spherical layer with charge density ##\rho ##. Find the potential at every point...

I read somewhere online that according to Coulomb's law, in the context of an atom, the potential energy of an electron is proportional to the distance (squared) between the positive and negative charges, this however doesn't show up in the actual eq F = kq1q2/r^2 I thought about it in terms of...

Homework Statement Find the Electrostatic potential energy of a cubical configuration of point charges. (One charge on each corner of a cube). Each of the charges is 3.00e and the edge of the cube is 3 cm. Homework Equations U = kqQ/r The Attempt at a Solution I'm pretty sure I understand...

Homework Statement One of two nonconducting spherical shells of radius a carries a charge Q uniformly distributed over its surface, the other a charge -Q, also uniformly distributed. The spheres are brought together until they touch. What does the electric field look like, both outside and...

Homework Statement Homework Equations The sphere is positively charged and appears to have its charge concentrated at its centre. Potential V is calculate to be 285V The Attempt at a Solution The charge induced on inside of box is negative. THe potential is less. It is said that it's being...

The question is from AP Physics C Barron's Consider the potential-position function shown below(I put it on the attached files)( the potential asymptotically approaches zero as x goes to + infinity or -infinity). The upper limit of the speed that an electron can have as it passes the origin and...

The potential is constant throughout a given region of space.Is electrical field zero or non-zero?

I just watched a videos explaining electric potential and voltage in terms of gravitational potential. A negative charge was drawn with electric field lines converging into it and then a positive charge placed in the vicinity. The video explained that work was required to overcome the...

Okay so I'm using Coloumb's law and the defining equation of electric field strength to find a proof (for my own satisfaction) for the electric potential formula: V_A = \frac{PE_A}{q}= \frac{Q}{4πε_0r} (where A is the position configuration of a point charge q in an electric field) My derivation...

Three charged objects, (+4 micro coulomb, -4 micro coulomb and +2 micro coulomb) are placed at the corners of an equilateral triangle with side length 2m. Calculate the total electric potential energy of the system... Guys Can you help me achieve a solution to this question? Thanks In Advance!

Guys, i really need help on answering this question... Can a charged particle ever move from a low electric potential to a high electric potential and yet have its electric potential energy decrease? Explain. What i think is that, no it is not possible for a charged particle to move to a...

Homework Statement Let EPE be change in electric potential energy so if a positive charge is moving towards the negative terminal with the electric field it would mean that it is losing PE therefore work = - EPE, and if a negative charge is moving against the electric field towards the...

if w = - change in epe why does power = +epe / time if power is supposed to equal w / t shouldn't it be equal to -EPE / time Please help me clarify this. epe= electric potential energy and also if current equals to Q/t is there a negative current if there is a negative charge? isn't current...

Homework Statement Hi, I've been having problems visualizing and interpreting a situation where there is zero potential in a point, equidistant, between two opposite charges. What is the significance of this? Here's a sample problem:Consider two point charges. One has a charge of +1 μC and the...

1. Homework Statement Two electrons start at rest with a separation of 5.0*10-12m. Once released, the electrons accelerate away from each other. Calculate the speed of each electron when they are a very large distance apart. Homework Equations ΔEK+ΔEE=0 The Attempt at a Solution Okay so I...

Homework Statement A spherical nonconductor of radius a carries charge +Q uniformly spread through its volume. 2 hemispherical conducting shells of inner radius b and outer radius c are placed concentrically with the nonconducting sphere to form a single conducting sphere. The conducting shell...

Homework Statement A long pipe is split to four four pieces along its length. The quarters are slightly moved apart and attached to constant electric potentials ##U_0## and ##-U_0## as shown in the cross section of the pipe in the attached picture. The walls of the pipe are thin and the...

Homework Statement The electric potential of a region of space is V= 200 / sq root (x^2 + y^2), where x and y are in meters. What are the strength and direction of the electric field at (x,y) = (2m,1m)? Homework EquationsThe Attempt at a Solution I took the negative derivative of V to find what...

Homework Statement 8 Charged drops of water each of radius 1 mm and having a charge of 10^(-10) Coloumbs are combined to form a bigger drop.Determine the potential of the bigger drop. Homework Equations Does the radius becomes 4*10^(-3)m,when it combines? Does the charge sum up to...

Homework Statement An electron enters a region between two capacitor plates with equal and opposite charges. The plates are L=0.1 m by d=0.05 m, and the gap between the plates is h=0.002 m. During a short time interval of dt=0.002 s, while between the plates and far from the edges, the change...

The electric field at the origin is along the positive x axis. A small circle is drawn with the center at the origin cutting the axes at points A, B, C, and D having coordinates (a,0), (0,a), (-a,0), (0,-a), respectively. Out of the points on the periphery of the circle, the potential is minimum...

Homework Statement [/B] The following is on a practice exam I have been completing. In advance, it is part b I am struggling with. Two point charges Q1 = +5*10^(-6)C and -2*10^(-6)C are 50cm apart. a) Where along a line that passes through the two charges is the electric potential zero (apart...

Homework Statement Consider a nonconducting sphere of radius r2. It has a concentric spherical cavity of r1. The material between r1 and r2 has a charge density p (C/m3). Take V=0 and r=infinity. Determine the electrical potential V as a function of the distance r from the center for (a) r>r2...

Homework Statement Two identical particles, each with a mass of 2.0 mg and a charge of 25 nC, are releasedsimultaneously from rest when the two are 4.0 cm apart. What is the speed of either particle at the instant when the two are separated by 10 cm? Homework Equations PE=ke*q1q2/r The...

Homework Statement A charge Q is uniformly distributed along a straight line of length a. Calculate V by integration, choosing the origin of the coordinates as the center of the charge. Next, expand this value of V up to terms in 1/r^2 Homework Equations V = \frac{\lambda}{4 \pi \epsilon_0 r}...

Question Assuming the electric potential difference between the inside and outside of a cell is 70 mV and the thickness of the region across which this exists is 7 nm, calculate the acceleration a chlorine ion would experience in the absence of other forces. In the absence of other forces how...

Homework Statement [/B] Figure 20-3, referred to below, is 0.800m wide and 0.400m tall with "A" in the top left corner, "+4 microC" charge in the top right corner, "+2 microC" charge in the bottom left corner, and "B" in the bottom right corner. Two point charges of magnitude +4.00 μC and...

Hi, I have a homework of electromagnetism and I got stucked in a problem, can you help me, please? 1. Homework Statement Find the electric potential V(r) in the space produced by a density charge (rho) = (rho)0 e-(alpha) r In spanish: Enuentra el potencial V(r), en todo el espacio, producido...

1. Problem Statement: The figure shows a cross-section view of a very long cylindrical cable. There is an outer tube made of copper, inner radius 2R, outer radius 4R. The inner copper wire has radius R and is concentric with the tube. The inner wire has charge density –2λ (per unit length)...

Homework Statement What does the following equation mean and how is it analogous to the relationship between the electric field and the the electrostatic force? V ( ~r ) = U ( ~r ) / q In general, confused about concepts, meanings and vocabulary. The naming of different terms in this...

Hi there. The example to obtain the electric potential in the region z>0 by the method of images for a infinite grounded conducting plane, with a point charge q located at a distance d is a typical example of the application of the method of images. If we consider that the plane is located in...

My approach and solution, but not sure if it is correct path:

Homework Statement The electric potential at a position located a distance of 18.6 mm from a positive point charge of 7.50×10-9C and 10.9 mm from a second point charge is 1.02 kV. Calculate the value of the second charge. Homework Equations q2 = r2 * (v - (k * q1 / r1)) / k The...