Electric potential Definition and 1000 Threads

A non conducting spherical shell is uniformly charged. The electrostatic potential at the centre is 200v and the electrostatic potential at the distance r=50cm from the centre is 40v. Find the radius of sphere a. I am not sure where go with this. I know that the potential difference is...

As shown in the figure, a rod of length 9.8 m lies along the x-axis, with its left end at the origin. The rod has a non-uniform linear charge density λ = αx, where α = 0.009 C/m2 and x is the position. Point A lies on the x-axis a distance 3.59 m to the left of the rod, as shown in the figure...

Homework Statement The 2.1mm diameter spheres in the figure are released from rest. What are their speeds vc and vd at the instant they collide? Spheres: C has 2nC of charge and a mass of 1g. D has -1nC of charge and a mass of 2g. The starting distance between the two spheres is 10mm...

Homework Statement Two point charges 2q and 8q are placed at a distance r apart. Where should a third charge -q be placed between them so that the electrical potential energy of the system is minimum. a). at a distance r/3 from 2q b). at a distance 2r/3 from 2q c). at a distance r/16 from 2q...

Say you have two point charges, both are positive. Would I be correct in thinking that electric potential (V) would be highest at some point along the line between those two point charges, and then decrease as we get closer to each of the charges?

Homework Statement You have 3 charges, all +2.5 μC arranged on a field at positions (-3.0 cm, 0), (3.0 cm, 0), and (0, 3.0 cm). I have already calculated the stored electric potential energy to be 3.85 J. The question is: If the third charge (0, 3.0 cm) is released from rest, what is its change...

Hey, Assume I have a very large tank of some liquid with uniform but medium conductivity. I now insert two fine wires into the tank some distance (D) apart, and create an electrical potential difference between them (V). 1) If I were to take my voltmeter (input impedance very high, so we...

Hey all. I have a question regarding potential vs. potential energy. Basically, from what I can tell, the potential energy is a property of the system as a whole (it has a single value in any given situation) while the potential is a property of each specific point in space. Would this...

Homework Statement Determine the electric potential at a distance r from a non-conducting sphere of radius a and non-uniform charge density Br (where B is a constant) for each of the following cases: i. r>a ii. 0<r<a Homework Equations Electric field outside of the sphere...

the potential difference between b and a is defined as follows: V(b) - V(a) = -∫E \bulletdl the integral is taken from a to b. so the potential of a positive charge, with infinity as reference, is V(r) - V(infinity) = V(r) = -∫E \bulletdl the integral is from infinity to r...

Homework Statement attached image http://sphotos.xx.fbcdn.net/hphotos-snc7/148934_353406858048194_100001366491698_897020_688558166_n.jpg Homework Equations V = integral of E * dr The Attempt at a Solution I do not completely understand the solution to part B. I was able to solve it...

Homework Statement The diagram shows three charges, A (+5.0 μC),B (-7.0 μC), and C (+2.0 μC), placed at three corners of a rectangle. Point D is the fourth corner. What is the electric potential at point D? Homework Equations VEL = \frac{(k)(q1)}{d}The Attempt at a Solution I don't know how...

Question is pretty simple and arose when doing one of the usual integrals to find the electric field. This one concerned the field above the middle of a uniform line distribution of charge. If you wish to calculate the field you must take in mind that the horizontal components cancel. However if...

I was just wondering if the following is true/possible: - Could a circuit be made that is connected from a terminal on one battery, through a load, and then connected to the opposite terminal of another battery, where the batteries aren't touching? I believe it isn't possible, but would...

How is electric potential manipulated in batteries? Why do some batteries have a rating of 1.5v and others have ratings of 1.25v? I'm not looking for the answer of "its the materials used in the chemical reaction" because I know that.WHAT DO THESE MATERIALS DO DIFFERENTLY TO THE PHYSICS OF THE...

I've Had this doubt from a long time back : Being in high school my physics teach simply stated that No explanations given. To quench my thirst I went through books and things . I found one difinitive result : a: In this Video http://bit.ly/wl8-0204 Prof.Walter Lewin Says...

Rank the electric potential energies of the systems of charges shown in the figure below from largest to smallest. Indicate equalities if appropriate. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) I was thinking A=C>B=D Please help me if I am wrong!

is the electric potential arround an isolated negetive charge considered negetive or positive? Also, at the mid point between a negetive and a positive charge of same charge, is the electric potential zero or not?

Homework Statement Consider a homogeneously charged, infinitely long, straight wire of finite radius R. Determine the potential \phi(r) of the wire for r ≤ R and for r ≥ R. You must use the Poisson-Equation! Homework Equations Δφ(r) = -ρ(r)/ε ⇔ \frac{1}{r}\frac{∂}{∂r}(r\frac{∂φ}{∂r}) +...

Homework Statement The nucleus of a helium atom contains two protons. In a simple model of this nucleus, the protons are viewed as point particles separated by a distance of 1.0 fm (1.0 x 10^-15 m). What is the electric potential energy of the two protons? please do step by step.

Homework Statement Find the potential difference, capacitance of the Geiger Counter and the charge on the anode. So, we have a Geiger Counter with low-pressurized neon inside. What we want is to have an alpha particle or electron to travel into the Geiger Counter with enough energy to collide...

Hey, i have a conceptual doubt. Suppose there are three concentric conducting spheres A,B,C having radius a,b,c (a<b<c). We put charge q1, q2 and q3 on these three surfaces A,B,C respectively. Now using gauss law, we can prove that Charge on inner surface of A is 0 Charge on...

Homework Statement The electric potential at the center of a (5.00cm radius) metallic sphere is zero Volts. The sphere is surrounded by a concentric conducting shell of 10.0cm outer radius and a thickness of 2.0cm. The shell has a net charge of +20mC. a.)Find the charge on the sphere. b.)Give...

if two points have the same electric potential, is it true that no work is required to move a test charge from one point to the other? Does that mean that no force is required, as well?

Hi, I was wondering if anyone could tell me if these 4 following statements are correct? 1. V increases as a particle nears a proton 2. V decreases as a particle nears an electron 3. U increases as a particle moves in opposite direction of Electric Field 4. U decreases as a...

Homework Statement The electrical potential can be described by the following equation: V= 200/(x2 + y2 )1/2 find dV when x=2 and y=1 Homework Equations n/a The Attempt at a Solution dv/d(x,y) = ∂/∂x + ∂/∂y =200/(x2 + y2)(1/2) +200/(x2 + y2)(1/2) replace variables with C where...

Homework Statement A charge of +9q is fixed to one corner of a square, while a charge of -8q is fixed to the opposite corner. Expressed in terms of q, what charge should be fixed to the center of the square, so the potential is zero at each of the two empty corners? Homework Equations V =...

Given a solid metal sphere where all the positive charges are distributed evenly on the surface of the metal sphere. My textbook says that there is no electric field strength in the middle of the metal sphere because the charge = 0. However, my understanding is that wouldn't the center of the...

Homework Statement i have a sphere with center at origin that is partially empty inside with a non-uniform charge. i have 2 arbitrary points outside the sphere. find the difference in potential between the 2 points.Homework Equations The Attempt at a Solution 1) find total charge of sphere 2)...

Homework Statement Two point charges are separated by a distance r. If the separation is reduced by a factor of 3/2, by what factor does the electric potential between them change? A. 3/2 B. 2/3 C. 9/4 D. 4/9 E. Sqrt(3/2) Homework Equations The Attempt at a Solution Honestly I...

A very long insulating cylindrical shell of radius 6.40 cm carries charge of linear density 8.90μC/m spread uniformly over its outer surface. What would a voltmeter read if it were connected between the surface of the cylinder and a point 4.00 cmabove the surface? λ=dq/dr V=k∫dq/r...

Homework Statement A hollow cylinder of radius r and height h has a total charge q uniformly distributed over its surface. The axis of the cylinder coincides with the z axis, and the cylinder is centered at the origin, as shown in the figure. What is the electric potential V at the...

I'm a little bothered with the inconsistency in notation of electric potential (V) and potential difference (ΔV) because they're apparently used synonymously... but what really confuses me more is that I've seen absolute value around ΔV sometimes. It may not matter (theoretically or...

Homework Statement Consider two equal positive charges (q=+2.0 µC) a distance of 3.0 cm apart. What is the electric potential midway between the two charges? What is the E field at this point? I got the work and everything all solved out, i just don't know where some of the numbers came...

When taking about potential and electric field, potential difference is equal to the negative of the area under the graph of E vs distance? why is that. My book defines it as the negative integral of Force times ds or V(intitial) - area under the curve. I don't understand why it's negative. I...

Homework Statement A beam of electrons with energy 1.20 keV (per electron) is directed towards a solid copper sphere of radius 1.25cm. a) Determine the velocity of the electrons in the beam. b) The beam continues to send electrons into the sphere until it is charged up enough to repel the...

Homework Statement A 13.0nC charge is at x = 0cm and a -1.1nC charge is at 6cm. At what point or points on the x-axis is the electric potential zero? Let X0 be a position on the x-axis Let V1 be the electrical potential at a point due to the 13nC charge Let V2 be the electrical potential...

Homework Statement A uranium nucleus in a reactor captures a slow neutron and divides, or fissions, into two smaller daughter nuclei. Assuming the nucleus divides into two equal daughters with charge Q=46e and diameter d=2x10-14m, calculate their electric potential energy. Homework...

Homework Statement Give an expression to find V of Arc of uniform charge (at the center, or origin) Homework Equations V=kQ/R The Attempt at a Solution the solution is kQ/R. I'm wondering why an arc can be treated like a point charge... Is this reason partly connected to a...

Homework Statement 1) How much work is needed (done by the field) to move a -6.0 µC charge from ground to a point whose potential is +7.00 V higher? 2)An electron starts from rest 74.5 cm from a fixed point charge with Q = -0.150 µC. How fast will the electron be moving when it is very far...

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...