Electric potential Definition and 1000 Threads

Homework Statement A charge + q is fixed at each of the two points (±a,0,0). Show that the potential V at a point (x,y,z) near to the origin may be expressed as V = [q/4∏*ε*a] [[2+(2x2-y2-z2)/a2] where x, y and z are small compared with a. Homework Equations V(x) = q/4∏i*ε*r ...

Homework Statement A charge moves towards a positively charged sphere, as it does, it's electric potential (V) increases. Give an instance on when the Electric Potential Energy (Ee) will decrease. Homework Equations V= Ee/q The Attempt at a Solution Alright, This is basically a theory...

how can I prove that no current would flow in a wire connected between two wires of equal potential. For an example a resistor of 2 ohms carrying a current of 3 Amp and a resistor of 3 ohms carrying a current of 2 Amp, and a wire "A" is connected between them. Obviously, the potential difference...

Homework Statement A spherical shell of radius R0 has a non-uniform surface charge density: η=η0*cos(2θ), where θ is the angle measured from the positive z axis and η0 is a constant. This shell is inserted into another spherical shell (this one has a volume) with its inner lip at radius R1...

What does it mean by 0 V or 0 potential between two charges? If there are two point charges A and B. And if there is a point between them that has 0 V then why is: Va + Vb = 0?

Homework Statement Hey guys, I am a little bit confused how my textbook arrived at the answer it did for this particular question. The disk is in the xy-plane with radius b and uniform charge density. They go V=\frac{\rho_S}{4πε}\int_0 ^{2π}\int_0...

Problem: Points A and B each have an electric potential of +9 V. How much work is required to take 2 mC of charge from A to B? Equation: V = W / q 9V = W / .002 C W= .018 J. This answer I'm getting is incorrect and I'm not sure what else to try. Any help in the right direction would...

Homework Statement The electric field at the surface of a charged, solid, copper sphere with radius 0.19m is 2800 N/C , directed toward the center of the sphere. What is the potential at the center of the sphere, if we take the potential to be zero infinitely far from the sphere...

Homework Statement The electric potential along the x-axis is V=100e^(−2x/m), where x is in meters. Find Ex at x=1.0m and Ex at x=2.1mHomework Equations V=Ed Ex = dV/dx (?) The Attempt at a Solution I took the derivative of V and got (-200/m)e^(-2x/m) I don't know what m is and I'm just not...

Homework Statement As an electron moves from a high potential to a low potential, its electric potential energy? a) increases b) remains the same c) decreases Homework Equations we know that V=U q0 the electric potential = potential energy times the charge. The...

Homework Statement Note this is a PRACTICE midterm problem. Not due for homework or for a grade. My exam is on Tuesday "an electron moves from point A to point B in a uniform electric field as show below. Rank the electrons in diagrams 1 through 2 by the changes in potential from greatest...

1. A system consists of the charges -q at (-d,0), +2q at (d,0), and +3q at (0,d). What is the total electric potential energy of the system. 2. I'm wondering, is it necessary to calculate each electric potential between charges from lower electron potential to higher electron potential...

Greater electric potential but less electric potential energy?? The picture in my book looks like this: 1. The electric potential at pt. B in the parallel-plate capacitor shown here is less than the electric potential at pt. A by 4.50V. The separation between pts. A and B is .120cm, and the...

1. Problem statement A thin rod of length 2L has charge Q uniformly distributed along its length. 1. Draw a graph of the charge density as a function of x from -L to L 2. Find the electric potential at point P a distance y away 3. Use the result in part 2 of the electric field at point...

Homework Statement A proton (charge +1e and mass 1.67e-27kg) and an alpha particle (charge +2e and mass 6.64e-27kg) are placed 3 fm (1 fm=10e-15m) apart. a)what is the force on each particle B)what is the potential energy of the system? c)what is the acceleration of each particle at the...

Homework Statement Homework Equations ΔU = -q∫E * ds The Attempt at a Solution Just by looking at the graph I am thinking, if I solve for E using the equation above, the number would be always negative therefore I can conclude that the electric field at any x position would be negative and...

Homework Statement An insulating solid cylinder of radius R, length L carries a uniformly distributed electric charge with density \rho . Chose the z-axis along the axis of the cylinder, z=0 in the middle of the cylinder. the cylinder can be boken down into curcular tabs (disks) of thickness...

Homework Statement My question is one of clarification about electric potential. Homework Equations See Below The Attempt at a Solution I understand that when electric potential is defined at infinity to be zero for a series of point charges, the potential is simply kq/r. My...

Homework Statement Homework Equations E = kq1q2/r2 The Attempt at a Solution Please correct me if I am wrong but I think it is A. Since doubling the charge, doubles the potential as well, while doubling the radius between the charges would just exponentially decrease the...

In my physics class we are learning about electric potential right now. I know electric potential is electric potential energy with the charge divided out. I am curious if the potential difference is just the difference between the two points. My thinking is we have point A, and B. The path...

Homework Statement i'm having a bit of trouble understanding/visualising why the electric potential is zero in the red cross within region III and the green dot within region II from my current understanding, the green dot is where the potentials from both charges are equal and...

Homework Statement In the diagram below, there are two charges of ##+q## and ##−q## and six points (a through f) at various distances from the two charges.(See attachment) You will be asked to rank changes in the electric potential along paths between pairs of points. Homework Equations ##V...

hi, please can anyone analyze the following sentence in terms of the formulas of electrostatic forces or Potential energy (assuming electrostatic force is directly proportional to potential energy) statement: "When the force between two objects is attractive and decreases with distance, the...

Hi,can you please help to understand why is the potential difference the same across the gap between the plates of both capacitors connected in parallel?

This is question 2.30 from the 2nd edition of the Purcell book on Electricity and Magnetism. It's an interesting puzzle, and I've been thinking about it for a while, but I can't make any headway, so maybe you guys can do better. Suppose you have a uniformly charged cube (charge density ρ) of...

Homework Statement In a TV tube, an electric potential difference accelerates electrons from a rest position towards a screen. Just before striking the screen, the electrons have a wavelength of 1.0 x 10^{-11} m . Find the electric potential difference.Homework Equations λ = h/mv ΔE_k = qΔV...

Homework Statement A spherical rain drop carries a charge of 5×10-6 C and has a potential of 8.800×10-8 V at the surface. Find the radius of the drop. Homework Equations V = (kQ)/r The Attempt at a Solution I simply moved V and r to their respective spots and plugged in my...

Homework Statement A -11.5nC point charge and a +24.6nC point charge are 14.0cm apart on the x-axis. a) What is the electric potential at the point on the x-axis where the electric field is zero? - The answer is 1.58E2 V b) What is the magnitude of the electric field at the two points...

hi, electric filed is a vector and electric potential is scalar. Gradient of electric potential give us electric filed - please explain by which space we can describe both quantities. thanks

Is electric potential always continuous in an electrostatic field? I mean, does it suffer from discontinuity at any point?

Homework Statement An X-ray tube is similar to a cathode-ray tube. Electrons are accelerated to high speeds at one end of the tube. If they are moving fast enough when they hit the screen at the other end, they give up their energy as X-rays (a form of nonvisible light). (a.) Through what...

Homework Statement Twenty seven charged water droplets each with a diameter of 2 mm and a charge of 10-12 C coalesce to form a single drop .Calculate the potential of the bigger drop. Homework Equations V(potential)=\frac{q}{4∏εr} The Attempt at a Solution i don't really have an...

Hi Everybody, I am currently battling with the fourth and final question of my A Level physics work for this week. The problem has been driving me crazy, as I seemed to have completed all of the relevant steps, and I find the right answer only with negative exponents, which isn’t much help at...

Homework Statement A very long cylinder of radius 2.00 cm has a uniform charge density of 1.50 nC/m. Taking the reference level for the zero of potential to be the surface of the cylinder, find the radius of equipotential surfaces having potentials of 10.0 V, 20.0 V, and 30.0 V. Homework...

Homework Statement A generator has an output of 240V. It is intended to operate machinery some distance away. If the machinery has to operate on 25A and the cables carrying the current have a total resistance of 5.0Ω. find the PD across the ends of the cables. Will the machinery operate...

The basis behind electric energy is the movement of electrons or ions through a wire or medium. That is simple. I know that blood vessels carry ions such as K+, Cl-, and Na+ through them in varying concentrations. What I want to know is if it would be viable to create a biological solenoid by...

Please explain the relation between electric potential energy and electric field in detail.

Consider that the bar has a linear density λ and is in the x axis. Also consider that V=0 in infinite. Determine the potential in point P. I can calculate it, but I don't understand how the bounds of the integral are supposed to be determined: dq =\lambda dx'\\ r = x + x'\\dV =...

Homework Statement Consider point a which is 65 cm noth of a -2.8μC point charge, and point b which is 80 cm west of the charge. Determine (a) Vba=Vb-Va, and (b) Eb-Ea (magnitude and direction)Homework Equations k=9x10-9 V=kQ/r V=kQ(1/rb-1/ra) E=kQ/r2 E=kQ(1/rb2-1/ra2)The Attempt at a Solution...

Hello all. I had written a test today on ELECTRIC POTENTIAL and I got this particular question wrong:Homework Statement If an electron would travel from a region of low potential to a region of high potential , would there be a change in velocity? 2. My take at the problem : electric...

Hi, I'm just starting to study circuits, and there's a thing I don't understand about electric potential. I was under the impression that as a charge moves through the circuit from the high potential end of the battery to the low potential end, it lost electric potential energy which...

Homework Statement A point charge q is placed at a distance 2r from the centre O of a conducting charged sphere of radius r. Due to the induced charges on the sphere, find the electric potential at point P on the surface of sphere(it is at a distance 3r from q) (if Kq/r = 18 volt) Homework...

Homework Statement If the electric potential of the inner shell is 10 volts and that of outer shell is 5 volts, then the potential at the center will be? Homework Equations The radius of inner shell = a (given) The radius of outer shell = 2a (given) The Attempt at a Solution Having read...

Homework Statement 1. If the electric field is zero at a point, the potential must also be zero at that point 2. If the electric potential is zero in some region of space, then the electric field must also be zero in that region. 3. If the electric field is zero in some region of...

We have two equations delta EP = -W V = -Ed Now, to my understanding for the second equation (E = -V/d) since its a vector quantity, we need to make it have direction Therefore, if we substitute values E = -50V / 5 m = -10 N/C We add in the negative sign to the equation because...

Homework Statement Hi. I'm doing some practice problems to prepare for an upcoming exam, and I encountered this question: What is the shape of the electric potential around an isolated electric charge? a. Circular b. Square c. Oval d. No specific shape e. Triangle This is an odd...

capacitance cylinder Homework Statement Hey guys! :) I have an exam tomorrow i am a stuck with this question while reviewing :S.. Can anyone help me please? consider a cylinder capacitor of length 1m , inner radius 0.1cm and outter radius 0.2cm. You connect the capacitor to a 10V...

We have a spherical shell. We want to find the electric potential everywhere. Given charge density σ=k*sinθ, k is constant. Also it is wanted from direct integration. V=1/4piε ∫σ/r da. How can we do this, please help? I thought because it is sphere da is in the direction of r so da=r^2sinθ dθ...

If the cyclotron frequency is f = (q B)/(2 pi m) this gives a very large frequency for a relatively large magnetic field and for an alpha particle say. If the acceleration of the charged particle across the "dees" is cause by an alternating electric potential (usually in the form of a square...

I understand potential as follows: V(r) = Q/(4*pi*e0*r) If current flows from high potential to low potential in a conductor, I am keen to know where is the charge Q located that cause this potential difference across the two ends of the conductor. I would also like to know its polarity...