Electric potential Definition and 1000 Threads

Homework Statement There is a bent bar with inner radius A and outer radius B and thickness C. Bar is bent from the x-axis to the y-axis in a quart circle. 1) If the bottom of the bar has potential 0 and the top has potential Vo, find Resistivity. 2) If the inner circle had potential 0 and...

my professor has explained Electric potential energy Law U=∫D*E above all the space. he said you can not use for some kind of materials. l can 't remember if they are Ferroelectricity or piezoelectric materials. then can you say to me the reason too? thank you

Homework Statement three point charges are located on a circular arc as shown: a) find the electric potential at the centre of the arc (point P) b) find the electric potential energy of a 25 pC point charge placed at P Diagram: [ r= 4 cm = 0.04 m]...

Homework Statement A proton is moving along the main axis of a uniformly charged thin ring. The charge density on the ring is 5.0nC/cm and the ring radius is 1.0cm. Initially the proton is 2.0cm (along the axis) from the center of the ring with the velocity towards the center of the ring. What...

Homework Statement A very long, thin straight line of charge has a constant charge density of 2.0pC/cm. An electron is initially 1.0cm from the line and moving away with a speed of 1000km/s. How far does the electron go before it comes back? Homework Equations ΔU = ΔV*q ΔKE + ΔU = 0...

I'm fairly certain I'm doing this problem right.. But my homework assignment program keeps telling me it's incorrect.. Homework Statement The drawing shows six point charges arranged in a rectangle. The value of q is 6.78 μC, and the distance d is 0.15 m. Find the total electric potential...

Homework Statement A solid metal cylinder of radius R and length L, carrying a charge Q, is surrounded by a thick coaxial metal shell of inner radius a and outer radius b. The shell carries no net charge. Find the potential at the center, using r=b as the reference point. Homework...

Homework Statement Given the drawing, calculate the current going through the 2Ω Resistor and then calculate the difference in electric potential from point a to b. Homework Equations V = IR juction rule: ƩI = 0 = Iin - Iout ƩV = 0 The Attempt at a Solution Well, I attempted to draw all the...

In a sphere of radius R the charge density is given by: p(r) = Q*r/(pi*R^4) , the r is the distance of a generic point to the center of sphere.a) Confirm that the total charge is equal to Q. b) What is the electric field inside and outside sphere. c) What is the electric potential inside and...

What is the difference between electric potential and electric potential energy? How can i answer to that question in full correct way? attempt: While potential energy is associated with a conservative force that acts on a particle when it moves from A to B, the electric potential is the...

Hello, I'm not sure if this is the right place for this question, but I am trying to understand how placing electrodes in the brain elicits action potentials. In a neuron (brain cell), there exists a solution of sodium and potassium ions (among other things). When the brain wants to...

Hello, I'm not sure if this is the right place for this question, but I am trying to understand how placing electrodes in the brain elicits action potentials. In a neuron (brain cell), there exists a solution of sodium and potassium ions (among other things). When the brain wants to produce an...

My question is: If you have a E= Ex+Ey+Ez To find V(x,y,z), i should: Just integrate Ex in order x? ∂V(x,y,z)/∂x = -Ex so: -V(x,y,z) = ∫Exdx or have i to sum the three integrals? -V(x,y,z) = ∫Exdx + ∫Eydy +∫Ezdz

V(x,y,z) = (Vo).e^[(-k|z|)].cos(kx) Find the electric field everywhere. Sketch the electric field lines in the x − z plane. Attempt: ∂V/∂x = -Ex -Ex = -k(Vo).e^[(-k|z|)].sin(kx) Ex = k(Vo).e^[(-k|z|)].sin(kx) --------------------------------------------- -Ez =...

Homework Statement Homework Equations ∇2V = 0 The Attempt at a Solution I'm guessing I need to use Laplace's equation in 2 dimensions since the potential depends on x and y. I have no idea how I would do this.

Homework Statement A total charge q is uniformly distributed throughout a sphere of radius a. Find the electric potential in the region where r1<a and r2>a. The potential is defined anywhere inside the sphere. Homework Equations letting ρ = volume charge density and ε = permittivity...

Homework Statement Two point charges (opposite signs, equal in magnitude) are a distance d apart. Point P is a distance z above both charges and horizontally equidistant. Find the electric potential at point P. Homework Equations Kq/r The Attempt at a Solution It's my...

1. A spherically symmetric charge distribution results in an electric potential of the form What is the charge distribution? 2. Hint: consider the difference in electric field between two values of r Show that the answer is of the form 3. I have attempted several solutions but haven't...

Solve Laplace's equation on a circular disk of radius a subject to the piecewise boundary condition $$ u(a,\theta) = \begin{cases} 1, & \frac{\pi}{2} - \epsilon < \theta < \frac{\pi}{2} + \epsilon\\ 0, & \text{otherwise} \end{cases} $$ where \epsilon \ll 1. Physically, this would reflect the...

Homework Statement Consider the image and assume that the switch has been open for a long time. Note that the switch is supposed to be between the battery and the resistor on the top straight segment, which is not shown in the image...

Homework Statement In a certain region, a charge distribution exists that is spherically symmetric but non-uniform. When a positive point charge q is located at (r,θ,φ) near this charge distribution, there is a resulting electric potential energy for the system given by: U(r,θ,φ) =...

Homework Statement The electric potential of a very large isolated flat metal plate is 2000 V. The plate carries a uniform distribution of charge with surface density σ=1 μC/m2. Determine potential V at a distance x=1 cm from the plate. Assume that point x is far from the edges and that x is...

Homework Statement An isolated solid copper sphere of radius .12m has a positive charge of 6.4x10^-9 C. i) calculate the electric potential at a point .10 m from the center of the sphere. ii)calculate the electric potential at a point .24 m from the center of the sphere. The Attempt at a...

Homework Statement A small metal sphere, carrying a net charge of q1 = -2.90 μC , is held in a stationary position by insulating supports. A second small metal sphere, with a net charge of q2 = -7.20 μC and mass 1.70g , is projected toward q1. When the two spheres are 0.800 m apart, q2 is...

Homework Statement Please don't do the problem for me, but explain to me in detail each steps I should take and why in my calculations (so I didn't include any numbers). There's an insulating infinite cylinder of equal charge distribution at origin (density given- rho). Let's say it's radius...

Homework Statement NOTE: Coordinates are in centimeters. A dipole consists of two point charges: +q = 0.911 μC at (-2.53,0) and -q at (2.53,0). a) Calculate V, the potential created by the dipole at (31.9,82). Homework Equations V = k \frac{q}{r} \\ \\ r_{1} = \sqrt{(x-.0253)^2 +...

Homework Statement given a uniform electric field direct straight downward. If I have two particles, one is positive and the other is negative, both align horizontally (at the same height) inside the field. Which one has more electric potential? Homework Equations The Attempt...

Two 3.00-μC charges are at the ends of a meter stick. Find the electrical potential for the center of the meter stick. V=kq/r I just want to confirm my answer here. What I did is solve this for both charges in the equation above using r = 0.5m q= 3.00 uC. So I factored out k/r...

How much energy is necessary to place three charges, each of 2.0 μC, at the corners of an equilateral triangle of side 2.0 cm? This is in the chapter all about electric potential so I think I have to use the voltage equations in some way. V = Kq/r u= qV I am honestly unsure of...

I wanted to know how to find the electric potential inside a uniformly charged sphere of radius R. What i understand is that my textbook uses a reference point as infinity and then expresses the potential as the difference of 2 integrals. Sooo, V(r)= -∫E dr and the electric field is...

Homework Statement 7) A uniform electric field of magnitude of E=5.5 ×10^3 N/C points in the positive x axis direction. The electric potential at the origin (x,y)=(0,0) of the xy-coordinate system is 0V. Find the electric potential at the point (x,y)=(10.0 cm, 10.0 cm). A) -777.8 V B)...

Hi guys, So, these two formulas are making me very confused: UE=kQq/r ΔUE=-WE Ok, here is the problem: Let's imagine that we have two positive charges. One of them is static, the other one can move. If we place the positive charge close to the source charge, the movable...

Hello, The value of electric potential(∅) is known at every node in a 3d finite element mesh. The relation between electric current density(i) and electric potential(∅) is i=k.∇∅, I am writing a code in c, I want to know how to find the gradient of electric potential(∇∅) at every node so...

Homework Statement A 8.1 mu F capacitor is charged by a 155V battery (see the figure a) and then is disconnected from the battery. When this capacitor C_1 is then connected (see the figure b) to a second (initially uncharged) capacitor, C_2, the final voltage on each capacitor is 20V. What...

Homework Statement Two identical + 8.5mu C point charges are initially 2.5 cm from each other. If they are released at the same instant from rest, how fast will each be moving when they are very far away from each other? Assume they have identical masses of 2.0mg . Homework Equations...

Homework Statement "Two parallel plates having charges of equal magnitude but opposite sign are separated by 12cm. Each plate has a charge superficial density of 36nC/m2. A proton is launched from the negative plate to the positive plate. What is the minimum speed the proton should be...

Homework Statement The work done by an external force to move a -8.50 mu C charge from point a to point b is 1.90×10^-3 J. If the charge was started from rest and had 4.86×10^-4 J of kinetic energy when it reached point b, what must be the potential difference between a and b...

Homework Statement An electric potential is given in volts by; \phi (x,y,z) = 20x - 12y^2 +2yz, where x,y and z are measured in metres. Find the magnitude of the electric field E at the point(1,1,3). Homework Equations E = -\nabla \phi The Attempt at a Solution -\nabla...

Homework Statement Imagine two conductor spheres with radius r1 and r2, so that r1 > r2. The two spheres are connected by a infinitely long wire, and the total charge of the system is Q. What's the ratio of the potential of the first sphere by the potential of the second sphere...

Homework Statement Here's the problem: Homework Equations V = ke ∫ dq/r V is the electric potential, ke Coulomb's constant, q the charge and d the distance. λ = q / L , where λ is the charge density, q the charge and L the length of the rod. The Attempt at a Solution...

Homework Statement Can anyone tell me the significance of the sign of the electric potential between two charges? For example, If I have two charges of different sign the electric potential between them will be negative, and it will represent the energy necessary to separate them between...

Homework Statement A flat non conducting sheet lies in the x - y plane. The only charges in the system are on this sheet. In the half space above the sheet, z > 0, the potential is \varphi = \varphi _{0}e^{-kz}coskx. Describe the charge distribution on the sheet. Homework Equations The Attempt...

Homework Statement A parallel-plate capacitor is charged to an electric potential of 100 V by moving 4x10^19 electrons from one plate to the other. How much work was done? Homework Equations How much work was done? The Attempt at a Solution Work is then simply equals to...

Hello all, For a few months, I've been (off and on) trying to come up with a more intuitive definition for Electric Potential (or Voltage, if you prefer), as all I can seem to find are mathematical equations. I believe I have finally come up with a satisfactory result, and I merely wanted to...

I need the electric potential generate by an hemuspherical constant charge density along the axis normal to the plane surface of the distribution an passing for the center of the hemisphere. In practice i have to solve the integral: ∫1/|x-x'| d^3x' over the volume occupied by the distribution...

1. Explain briefly the relationship between electric potential and work in moving a positive charge q from point A to point B in an electric field Should I explain that work is potential energy plus kinetic energy? is it asking for that? and also, does the fact that it's a positive charge...

Let's say I have a sheet of charge that is composed of a certain amount of charged atoms summing up to Q and a certain area A. The charge density would be Q/A = σ. I wish to find the elctrostatic potential from the sheet at point X. I believe that the electric potential should follow the...

Hi, I have the following problem, I have an electric field (which no charge) which satisfies the usual Laplace equation: \frac{\partial^{2}V}{\partial x^{2}}+\frac{\partial^{2}V}{\partial y^{2}}+\frac{\partial^{2}V}{\partial z^{2}}=0 in the region \mathbb{R}^{2}\times [\eta ,\infty ]. So...

I'm having trouble fully understanding what electrical potential means. If there are two point charges of opposite signs and a point charge somewhere around them, we simply add the two voltages separately? Not as a vector sum? Also the concept of negative potential, does this mean that the...

Hello, I have puzzled myself with a question: what is the potential of a conducting rod in a homogeneous electric field (net rod charge = 0)? To be more exact I imagine a conducting rod suspended on a non-conducting thread in the Earth electric field near and perpendicular to its surface. If...