Electric potential Definition and 1000 Threads

can anybody help me with the following question: the electric potential everwhere in xy plane is given by V = 36/ ((x+1)^2 +y^2)^ 1/2 - 45/(x^2 +(y-2)^2)^ 1/2 where V is in volts and x,y in meters. Determine the position and charge on each of the particles that create this potential

Homework Statement Figure 1 shows a pair of parallel metal plates, A and B, fixed vertically 20mm apart with a potential difference of 1500V between them. (a)(i) Draw the electric field lines in the space between the plates and calculate the electric field strength at point P. (a)(ii)Sketch...

Homework Statement A proton moves along the x-axis, where an arrangement of source charges has created the electric potential V=6000x^2, where V is in volts and x is in meters. (a) Graph the potential between x = -5.0 and x = +5.0. (c) By exploiting the analogy with the potential energy of a...

Homework Statement In the circuit given (attached) , point S is earthed , what are the electrical potentials at point P , Q and R . Homework Equations Kirchoff's second law . The Attempt at a Solution The electric potential at point S is 0 . By applying Kirchoff's second law ...

Homework Statement I'm quite lost here. The problem states: A spherically symmetric electrostatic charge distribution produces an electric field that is directed radially out from the distribution center. At the distance r from this center the field has the strength: \[E=\frac{Q}{4\pi...

Homework Statement Two small metal spheres, each of mass m, are attached to the lower ends of two long insulated strings of negligible mass as shown. Each string is length, l. The spheres are pulled apart until each string makes an angle "theta" with the horizontal. A charge of +q is placed...

A charged particle (either proton or electron) is moving rightward between 2 parallel charged plates separated by distance d = 2mm. The plate potentials are V1 = -70.0 V and V2 = -50.0 V. The particle is slowing from an initial speed of 90.0 km/s at the left plate. a) Is the particle an electron...

Homework Statement Three charges are arranged as shown. Find electric potential energy at reference point (the one that's circled) How much work would it take to bring in a charge of 1.25 µC from infinity to that point? Homework Equations V=kQ/r Eel=QV The Attempt at a...

Homework Statement Points A and B have electric potentials of 350 V and 160 V, respectively. When an electron released from rest at point A arrives at point C, its kinetic energy is KA. When the electron is released from rest at point B, however, its kinetic energy when it reaches point C...

hi, in the formula ChangeInPotential = Current X Resistance (formula for change in potential across a resistor) , if the resistor has two ends (point A and point B), how do I know wether it is the change in potential from point A to point B or from point B to point A

http://img188.imageshack.us/img188/2231/p1040967s.jpg (for the above grah, the plate is inseted in the middle) http://img683.imageshack.us/img683/7662/p1040968s.jpg (for the above grah, the plate is inseted in the middle) http://img11.imageshack.us/img11/7476/conductor1.jpg...

http://img519.imageshack.us/img519/3416/32ex28.jpg What is the voltage at points a,b,c,d? I don't know how this works with Kirchoff's loop law. Any help?

Homework Statement Consider a solid conducting sphere with an inner radius R1 surrounded by a concentric thick conducting spherical shell which has an inner radius R2 and outer radius R3. There is a charge Q on the sphere and no net charge on the shell. For all parts of this problem, we adopt...

My textbook says that electrons in a wire begin with electric potential energy- they are then accelerated by the electric field and their potential is converted to kinetic. Once inside a resistor, they collide with molecules and their kinetic energy is converted to thermal energy. However, it...

Two insulating spheres have radii 0.3cm and 0.5cm, masses 0.1kg and 0.7kg and uniformly distributed charges of -2 \muC and 3 \muC. they are released when the distance from their center are 1m apart. How fast will each be moving when they collide. Firstly, what is the radius of the sphere use...

Homework Statement What is the electric potential at the point indicated with the dot in the figure? The dot is in the center of an equilateral triangle with sides of 3 cm. The top point is a +2 uC charge and the bottom points are both -1 uC charges. Homework Equations V= kq/r The...

Homework Statement At what distance from a carbon nucleus is the electric potential 2.1 V? Carbon atoms have 6 electrons in the atomic shell. Homework Equations v= K Q / r^2 OR K Q / r (NOT SURE) The Attempt at a Solution use voltage potential for point charge Using either v= K Q / r^2...

Homework Statement A spherical distribution of charge is characterized by a constant charge density \rho for r<= R. For radii greater than R, the charge density is zero. Find the potential \varphi (r) by integrating Poisson's equation. Homework Equations...

Homework Statement The gap in the spark plug of the car is 0.1 cm. What potential difference is needed to produce a spark given that the breakdown strength of air is 3X10^6 V/m. Homework Equations The Attempt at a Solution I'm sort of confused by what they're asking...like i tried...

Homework Statement Derive an expression for p.d , V between point X and point Y in an electric field due to a single point charge +Q as shown in the figure attached . Homework Equations The Attempt at a Solution Vxy=Vy-Vx =\frac{Q}{4\pi\epsilon_o r_y}-\frac{Q}{4\pi\epsilon_o...

Homework Statement What is the difference between an electric field and electric potential? Homework Equations Electric Field = E = Kq/r2 Electric Potential = V = Kq/r The Attempt at a Solution From the equations, I can see that the electric field strength decreases as an...

Homework Statement a 5 cm radius conducting sphere has a charge density of 2x10^-6 C/m^2 on its surface. Its electric potential, relative to the potential far away is? Homework Equations I used V= K(q/r) The Attempt at a Solution Using the above equation I got 1.12 x 10^4. This...

Electric Potential-- quick question about process Homework Statement An alpha particle with kinetic energy 10 MeV makes a head-on collision with a lead nucleus at rest. What is the distance of closest approach of the two particles? (Assume that the lead nucleus remains stationary and that...

I'm having a little bit of trouble understanding the concept that the potential electrical energy between two opposite charges is negative while between like charges it is positive. Can someone please explain in detail why this is so? Thanks in advance.

If I'm going to apply the superposition principle and say something like V = V_1 + V_2, I need to make sure that my V_1 and V_2 are established with a common zero point for the potential, right? So, for example, one of them can't have been determined taking the zero point of the potential to be...

Homework Statement A square of side a has a charge +Q at each corner. What is the electric potential energy of this system of charges? Express your answer in terms of the variables a, Q and appropriate constants. Homework Equations U=kq1q2/r The Attempt at a Solution I figured...

The electric potential a distance r from a point charge q is 2.40×104 V. One meter farther away from the charge the potential is 6500 V. Homework Equations V=kq/r The Attempt at a Solution 6500 = 8.99x10^9 (q) / 1m q = 7.230 x 10^-7 then, r= kq/v r= 8.99x10^9 (7.230 x 10^-7)...

How is stiffness affected by potential?

Homework Statement In proton-beam therapy, a high-energy beam of protons is fired at a tumor. The protons come to rest in the tumor, depositing their kinetic energy and breaking apart the tumor’s DNA, thus killing its cells. For one patient, it is desired that 0.10 J of proton energy be...

Homework Statement When an electron moves from A to B along an electric field line in the figure below, the electric field does 2.00 10-19 J of work on it. What are the electric potential differences: (a) VB - VA (b) VC - VA (c) VC - VB Homework Equations Ok so I know that the...

1. Calculate the change in electric potential energy for a -10µC charge in a uniform electric field of strength 1750 N/C, traveling in a the straight paths OA, OB, or OC as shown. The figure shown is a rectangle with OA being a base, OC being a side and OB being a diagonal (No angle is given)...

Two positive point charges each have a charge of +q and are fixed on the y-axis at y = +a and y = -a. (Use k, q, a, and x as necessary.) (a) Find the electric potential at any point on the x axis. V = 2kq/[sqrt(x^2+a^2)] (b) Use your result in part (a) to find the electric field at any...

Homework Statement Two identical +6x10^-6 C charges, each with a mass of 10^-6, are placed as shown in the diagram below. All coordinates are in meters. ... An identical charge is brought in slowly from far away to point P. ... All three charges are released simultaneously. What is the...

Suppose we have an electrically insulated box in a room, and the potential difference between the box and the room is given by V_1=V_{Box1}-V_{room}. Now suppose we inject the box with X amps of current, for t seconds. The new voltage is now given by V_2=V_{Box2}-V_{room} By how much does the...

Four charges are arranged at the corners of a rectangle as shown in the diagram. How much work needs to be done to move the charge q2 to infinity? Since change in PEe = W, am I suppose to find total potential electric energy of the four charges and then subtract the total potential electric...

[b]1. The problem statement, all variables and given/known For a a uniformly charged sphere of radius R with total charge Q, show that the potential energy of a point charge q' varies with r U(r) = Qq'/4\pi\epsilonR * (3/2 - r2/2R2 if r < R Homework Equations \DeltaU = - \intE(r)q'dr...

1. Homework Statement A tire of radius 32.5 cm has a surface that is conducting. A charge of 4.89×10-8 C is then placed on the surface. The potential on the tire's surface is 1.35E+03 V. Later, suppose that some of the air is let out of the tire, so that the radius shrinks to 10.5 cm, the new...

Homework Statement A tire of radius 32.5 cm has a surface that is conducting. A charge of 4.89×10-8 C is then placed on the surface. The potential on the balloon's surface is 1.35E+03 V. Later, suppose that some of the air is let out of the tire, so that the radius shrinks to 10.5 cm, the...

Homework Statement A uniform electric field with a magnitude of 6890 N/C points in the positive x-direction. Find the change in electric potential energy when a +12.5 µC charge is moved 5.87 cm in the following directions. In the positive x-direction In the negative x-direction...

Homework Statement A wire that has a uniform linear charge density of 2.2 μC/m is bent into the shape as shown below, with radius 3.7 m. The Coulomb constant is 8.98755 × 109 N · m2/C2. Find the electrical potential at point p. Here is the image...

http://img168.imageshack.us/img168/3786/66134795.png Part one was simple enough, just insert the variables in the equation given V = (5)(92)(7) - (9)(9)(6) - (9)(72) = 1908 V Part two, three and four is where I am getting confused. Usually I would use triangles to figure out...

Homework Statement A point charge Q resides at the origin. A particle of mass 0.001kg carries a charge of 6 microC. The particle is released from rest at x = 3m. Its kinetic energy as it passes x = 0.5m is 0.4J. The coulomb constant is 8.99x10^9Nm^2/C^2. Find the charge Q. Answer in microC...

Homework Statement There's a cylindrical conductor of radius d, whose linear charge density is \lambda which is situated at a distance D from a infinite conductor plane. 1)Calculate the potential in the region that starts from the plane and ends at infinity (hence the cylindrical conductor...

Any answers would be great, thanks! Homework Statement 1. A charge Q is uniformly spread along the x-axis from x=0 to x=l. Find the electric potential function at points on the x-axis for x>l. 2. An electron moves from one point to another where the second point has a larger value of the...

An insulating spherical shell with inner radius 25.0 \rm cm and outer radius 60.0 \rm cm carries a charge of + 150.0 \mu {\rm C} uniformly distributed over its outer surface. Point a is at the center of the shell, point b is on the inner surface and point c is on the outer surface. What will...

Homework Statement What is the electric potential at the center of a uniformly charged sphere? Homework EquationsEd=-VThe Attempt at a Solution Integrate from infinity to the center of the sphere and be sure to account for the changing electric potential. I was told that the answer might be...

Homework Statement Why is the change in the electric potential between two capacitors V=ED ? Homework Equations V=-ED The Attempt at a Solution Isn't the change in electric potential equal to the negative of the product of the electric field and displacement? So, why is it that...

Homework Statement Consider a radial charge distribution of the form \rho = \rho _0 \frac{b}{r}, for a \leq r \leq b. Find the potential for all r. Homework Equations Not sure. The Attempt at a Solution From my memory (and I didn't find it in wikipedia), the potential at a point...

[b] 1. The arrangement of charges shown in the figure is called a linear electric quadrupole. The positive charges are located at +-s. Notice that the net charge is zero. Find an expression for the electric potential on the x-axis at distances y>>s. Homework Equations V= \sum1/4pi...

Homework Statement An ion accelerated through a potential difference of 10V experiences an increase in kinetic energy of 7 J. Calculate the charge on the ion.Homework Equations U=qV -qV=WThe Attempt at a Solution My book says the charge is positive, but I think that the charge is suppose to be...