Potential difference Definition and 701 Threads

Voltage, electric potential difference, electromotive force (emf), electric pressure or electric tension is the difference in electric potential between two points, which (in a static electric field) is defined as the work needed per unit of charge to move a test charge between the two points. In the International System of Units, the derived unit for voltage (potential difference) is named volt. In SI units, work per unit charge is expressed as joules per coulomb, where 1 volt = 1 joule (of work) per 1 coulomb (of charge). The old SI definition for volt used power and current; starting in 1990, the quantum Hall and Josephson effect were used, and recently (2019) fundamental physical constants have been introduced for the definition of all SI units and derived units. Voltage or electric potential difference is denoted symbolically by ∆V, simplified V, or U, for instance in the context of Ohm's or Kirchhoff's circuit laws.
Electric potential differences between points can be caused physically by electric charge build up or imbalance (eg. well known "static" and electronic capacitor) also by electric current through a magnetic field, and by time-varying magnetic fields (eg. dynamo or generator), or some combination of these three. Additionally on a macroscopic scale potential difference can be caused by electrochemical processes (cells and batteries) and pressure induced piezoelectric effect and heat induced emf across metal junctions. These latter processes at microscopic level have the physical origins previously mentioned. A voltmeter can be used to measure the voltage (or potential difference) between two points in a system; often a common reference potential such as the ground of the system is used as one of the points. A voltage may represent either a source of energy (electromotive force) or lost, used, or stored energy (potential drop).

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  1. A

    I cant figure out what the potential difference between this two points is.

    i know that the p.d measured across XY is the p.d. across resistor B in this picture: http://img812.imageshack.us/img812/7665/68689848.png But what if resistor B is removed like in this picture: http://img707.imageshack.us/img707/7798/41743055.png What is the p.d across XY now? Is it 0...
  2. G

    Why is there close to zero potential difference in conductors in a circuit?

    This is why I think this is the case, I can't come up with any other reason and have been researching all over the place. I do have a knowledge of circuits, I'm doing an electronic engineering course, but the reasoning has never been explained, as if it's unnecessary to understand why, but I am...
  3. M

    Given potential difference of X-ray machine find energy of X rays

    Homework Statement Given is the X-ray machine in which electrons are accelerated in the potential difference of 10000 V before hitting the electrode and loosing its energy. Find the maximum energy of the emitted X rays in keV and in Joules. Homework Equations The Attempt at a...
  4. S

    What is the difference between potential difference and potential?

    For conventional current, they say that it moves from high potential to low potential. What does this mean? pd at a point is the potential at the further end minus the closer end. So what does it mean? Thanks for the help!
  5. S

    Potential Difference from Given Efield

    Homework Statement The electric field in a region is given by E=2x^2 i +3y j where the units are in V/m. What is the potential difference from the origin to (x, y) = (2, 2) m? Homework Equations E = -gradient of V The Attempt at a Solution - derivative of the x-component: 2/3...
  6. M

    Effect of radius changes on electric fields and potential difference?

    Hello! Okay so I understand that electric potential: V = kQ/r ...must be influenced by the radius doubling because it would make the potential energy half of what it originally was because of the proportionality law, v is proportional to 1/r. With electric fields though, how can...
  7. M

    Connection between potential difference and velocity?

    Hey there! Having some difficulty with this question... is there any proportionality law between potential difference and velocity? An electric charge accelerated from rest through a potential difference of 250 V reaches a speed of 9.4 x 10^6 m/s. What speed will this same charge reach...
  8. P

    Electric Potential Difference and COE

    Homework Statement 10. If an electron is released from infinity, how fast will it be traveling after falling to within 10-8m of a charge q of 4.8*10-19? a. 1.32*104m/sec b. 8.7*104m/sec *c. 2.76*105m/sec d. 4.01*105m/sec Homework Equations ΔU=ΔVq V=kq/r conservation...
  9. M

    Simple Question: potential difference between two points on circuit

    Homework Statement See attached image. I'm having trouble applying the concept of potential difference in a circuit. Vb-Va=? Va-Vb=? Homework Equations Vab=Vb-Va The Attempt at a Solution The overall voltage is 5V-2V=3V. The direction of the current is defined by the higher voltage...
  10. G

    Find potential difference of negative charged particle?

    Homework Statement The work done by an external force to move a -8.5μC charge from point A to point b is 15x10^-4 J. If the charge was started from rest and had 4.82x10^-4 J of kinetic energy when it reached point b, what must be the potential difference between a and b Homework Equations...
  11. Y

    Electric Fields and Potential Difference. Combining Formulae

    Determine how far apart two parallel plates must be situated so that a potential difference of 2.50*10^2 V produces an electric field strength of 2.00*10^3 N/C F=(k*Q1*Q2)/r^2 PD=kQ/r E=kQ/r^2 I cannot even figure out which formulae to combine...
  12. J

    Solving an Electric Circuit: Potential Difference & Capacitor Charge

    Homework Statement I have this circuit here.. http://s1167.photobucket.com/albums/q639/jay9313/?action=view&current=EM.jpg The question says that when switch S is open in the circuit shown above, the potential difference between points a and b would be.. A) 0V B) 6V C) 12V D) 24V E) 36V...
  13. P

    Understanding Potential Difference: Work Done per Unit Charge?

    I learned Potential but could not understand what Potential Difference is. Some define it as Work Done per unit charge. I am confused what per unit charge is. Does that mean electrons or protons ? As much as I know, electric current is the flow of negatively charged electrons to the positive...
  14. I

    What potential difference means?

    Can someone explain to me what potential difference means? Lets say point A has a potential of 100 V and point B has a potential of 0 V. So V_AB would be 100 - 0 = ΔV But what exactly does that tell us? What does ΔV=100 do ?
  15. V

    Basic electrostatics's potential difference question.

    Homework Statement true false Work done by external forces in moving a unit positive charge from A at potential Va to B at potential Vb is Vb-Va Homework Equations basic electrostatics. The Attempt at a Solution dW -F.dr=-Dw if a unit charge move from Va to Vb then change in...
  16. R

    Electromotive force and potential difference

    hi everyone, i would like to ask some quick questions that i find confusing. first, electromotive force is the energy supplied by a battery / power source, to ''push'' the charge through a circuit right? its unit is in Volts. then, potential difference is defined as the work done to push 1...
  17. M

    The potential difference and the electric field - please check my answer

    Homework Statement The potential difference between the ends of a 2 meter stick that is parallel to a uniform electric field is 400V. The magnitude of the electric field is: Homework Equations V = E.d The Attempt at a Solution E = v/d = 200 v/m The right answer is 800 v/m, my...
  18. J

    Potential Difference in a van der graaff generator

    Hi, this problem is from 'Electromagnetism' by Grant & Phillips and it states, Homework Statement 'http://i1129.photobucket.com/albums/m505/physicsbird1/126fig.png" shows a cross-section of the cylindrical high-voltage terminal of a van der Graaff generator, surrounded by an 'intershield'...
  19. W

    Potential difference inside a spherical shell

    Homework Statement A top half of a spherical shell has radius R and uniform charge density sigma. Find the potential difference V(b)-V(a) between point b at the north pole, and point a at the center of the sphere. Homework Equations The Attempt at a Solution \oint E ds =...
  20. D

    Potential difference between 2 points on dipole axis

    The dipole moment of a water molecule is 6.2 x 10-30 Cm. Find the potential difference VB - VA between 2 points on the axis of the molecular dipole, where points A and B are 8.2 nm and 5.1 nm respectively from the center. Both points are closer to the positive end. I used the superposition...
  21. F

    Potential difference of concentric conducting shells

    My professor said to in order to solve this, integrate the electric field to find the electric potential... \Delta V = -\int\stackrel{\rightarrow}{E}dl My question is, using Gauss's Law, (\oint E_{n}dA = \frac{Q}{\epsilon}), how do I go about finding Q? Isn't Q just the charge of the shell?
  22. V

    What is the energy of a photon & what potential difference must electrons be?

    Homework Statement a) What is the energy of a photon that has a wavelength of 0.10 μm? b) Through approximately what potential difference must electrons be accelerated so that they will exhibit wave nature in passing through an aperture 0.10 μm in diameter? The Attempt at a Solution I've...
  23. W

    Charge on and the potential difference across capacitors

    Homework Statement Calculate the charge on and the potential difference across each capacitor Homework Equations C|| = C1+C2+C3... C(Series) [(1/C1)+(1/C2)+(1/C3)+...]^{-1} Q=CV V=Q/C The Attempt at a Solution I already know that C_{123} = 16/9 \muF I also already know that...
  24. J

    Is There a Potential Difference Across the Inner and Outer Walls of a Conductor?

    Homework Statement Assume we have cavity in conductor. In the cavity we have +3q charge and conductor charge is distributed uniformly and is +7q. With Gaus law we now that E=0 inside the conductor becaus Q enclosed is 0. But I have been wondering is there potential difference from inner...
  25. R

    Potential Difference Between Two Points: 100J of Work Done

    the work done to move 4 C of change from a point to another point in an electrical field is 100J.What is the potential difference between the two points?
  26. O

    Potential Difference across capacitors in parallel.

    Homework Statement Two capacitors, C1 = 20 micro Farads and C2 = 5 Micro Farads are connected in parallel and the resulting combination is connected to a 12-V battery. Find (a) the Equivalent capacitance of the combination, (b) the electric charge on each capacitor, (c) the potential...
  27. B

    Calculate the potential difference induced in the circuit as a function of time

    Homework Statement A square circuit with side L lies in the x-y plane, is centred on the origin and has sides parallel to the x and y axes. At time t=0 it starts turning about the x axis, in a region characterised by a uniform magnetic field B parallel to z, with uniform angular speed omega...
  28. S

    Circuit Problem. Potential Difference

    Homework Statement Find potential difference Vab between points a and b on the figure. All resistances and emf’s are indicated, note the polarity of the batteries. What happens if the polarity of E1 is reversed (polarity of E2 kept the same) and both emfs are made equal? Homework Equations...
  29. H

    Finding Potential Difference between two points homework

    R1 = 120ohms R2 = 820ohms R3 = 2200ohms E1 = 15v E2 = 9v What is the potential difference between points "B" and "C"? (I've attached the circuit diagram)
  30. S

    Faraday's Law vs. V = vBl for determing potential difference of a conducting rod

    Homework Statement A rod rotates clockwise about a point as pivot with the constant frequency 5 rev/s. Find the potential difference between its two ends, which are 80 cm apart, due to the magnetic field B = 0.3T directed into the page. Homework Equations There are two methods to find...
  31. N

    What is the potential difference across the capacitor?

    Homework Statement "Two 2.1cm x 2.1cm plates that form a parallel-plate capacitor are charged to +- 0.705 nC. What is the potential difference across the capacitor if the spacing between the plates is 1.20mm? " Homework Equations C = Q/V C = epsilon * A/d The Attempt at a Solution I...
  32. N

    The potential difference necessary to accelerate an He+ ion ?

    The potential difference necessary to accelerate an He+ ion...? Homework Statement "What potential difference is needed to accelerate a He+ ion (charge +e, mass 4u) from rest to a speed of 1.2×10^6 m/s?" Homework Equations K_f + q*V_f = K_i + q*V_iThe Attempt at a Solution I figure that...
  33. P

    How can negative potential difference be achieved in an electric circuit?

    I've heard about this over and over again, but i don't how this(negative pd) can be achieved in an electric circuit.
  34. Z

    Potential difference across a capacitor problem

    Homework Statement The problem is to find out the potential difference between P and Q in the following figure- The solution given takes the charges on two capacitors to be equal. Why is it so?
  35. F

    Some theories concerning potential difference

    Homework Statement In my book, it says the following http://img849.imageshack.us/img849/388/unledpx.th.png Uploaded with ImageShack.us If you go from a to b, you gain potential. Now here is my question: I thought the E-field points from + to - in that cell, so if the current is...
  36. P

    Calculating force exerted by potential difference (electric field).

    Homework Statement A horizontal dielectric slab, with \epsilon_{r} = 5 and height 2 cm, contains an upper metalic surface. Below the slab a copper sheet is suspended, height 0.1 mm. Use \rho_{cu} = 8.9g/cm^3 Calculate the potential difference between the top of the slab and the sheet necessary...
  37. S

    Electron accelerated through a potential difference

    Homework Statement I am trying to get the velocity of an electron which has been accelerated through a potential difference of 1x106 V, so that i can find its momentum.Homework Equations K=(1/2)mv2 v=sqrt(2K/m) The Attempt at a Solution So , K = 1x106eV and m = 0.511x106eV/c2...
  38. D

    Ranking capacitors by the potential difference across them.

    I have a circuit that is in a read only file so I can't get an image on here so I will try to create it on here B-battery C-capacitor ----C1------------- l.....l...l B...C2...C3 l.....l...l -------------------- Ignore the periods (.) because they are just place holders. The...
  39. A

    Potential difference in circuit with battery, resistors, switch, capacitor

    Homework Statement Consider the circuit shown in the Figure, where R1 = 29 and R2 = 4.8 . http://www.webassign.net/walker/21-44alt.gif (a) Is the current flowing through the battery immediately after the switch is closed greater than, less than, or the same as the current flowing...
  40. W

    Potential difference between two points problem

    Homework Statement Given a point charge of 500pC at the origin, find the potential difference between points a and b at distances 5m and 15m respectively along the x-axis. Homework Equations Coulomb's law, I think? The Attempt at a Solution The reason I thought coulombs law was relevant...
  41. P

    Dielectric Breakdown-max potential difference

    Homework Statement A typical AAA battery has stored energy of about 3400 J. (Battery capacity is typically listed as 625 mA h, meaning that much charge can be delivered at approximately 1.5 V.) Suppose you want to build a parallel plate capacitor to store this amount of energy, using a plate...
  42. S

    Find the current and potential difference

    Homework Statement For the circuit shown in the figure, find the current through and the potential difference across each resistor. http://session.masteringphysics.com/problemAsset/1169464/1/jfk.Figure.23.P60.jpg Homework Equations V=I(amps)/R(ohms) and Req=R1+R2+R3... The...
  43. I

    Potential difference across a capacitor

    Hi I have a question about part a). Using Kirchoff's rules, I got the expression for the charge on the capacitor during the charging phase. q\, = \, 6C \left [ 1- exp ( - \frac{5t}{12C})\right ] and as t goes to infinity, we see that q = 6C so the potential difference...
  44. M

    Current Direction vs. Potential Difference

    Very simple question, but is it wrong to believe that current always points in the direction of decreasing potential difference?
  45. S

    Potential difference between two points homework

    We worked out this problem in class and I'm still confused: A wire of resistance 5 ohms is connected to a battery whose emf is 2.0 V and whose internal resistance is 1 ohm. In 120 seconds, how much energy is (a) transferred from chemical form in the battery, (b) dissipated as thermal energy in...
  46. L

    Potential difference of 2 points across charge and conductor

    Homework Statement See attached image. Homework Equations Potential difference over a line: V=\int E dl The Attempt at a Solution I assume that the approach to take would be to divide up the problem into different parts, and simply add them together. \int E dl I am a bit...
  47. L

    Potential difference between 2 points

    Homework Statement 2 points x and y, are along orthogonal directions from a 60uc charge. For x and y determine the potential difference between them. ( its in a vacuum also ) x= 10cm, y = 15cm Homework Equations okay, i know the equation is q/4*pi * EoEr *(1/ry - 1/rx) what i don't...
  48. V

    Capacitance & Potential Difference Question

    Homework Statement A parallel plate capacitor of capacitance 5.2 µF has the space between the plates filled with a slab of glass with κ = 4.0. The capacitor is charged by attaching it to a 1.8-V battery. After the capacitor is disconnected from the battery, the dielectric slab is removed...
  49. O

    Deriving Speed In Terms of Potential Difference

    I'm attempting to derive speed in terms of potential difference (voltage), can anyone let me know if there are any errors? http://www.texify.com/img/%5CLARGE%5C%21E_k%3D%5Cfrac%7B1%7D%7B2%7D%5Ctext%7Bmv%7D%5E2.gif...
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