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. J

    What potential difference is required to bring the proton to rest?

    Homework Statement A proton has an initial speed of 4.9 105 m/s. (a) What potential difference is required to bring the proton to rest? (b) What potential difference is required to reduce the initial speed of the proton by a factor of 4? (c) What potential difference is required to...
  2. U

    Donnan equilibrium -how is the potential difference caused?

    So I was watching a video about Gibbs-Donnan equilibrium () On one side of the semipermeable membrane, there is a solution of potassium ions and impermeable protein ion (negative 1 charge). On the other side there is potassium chloride. It said that after the electrical and chemical...
  3. G

    Calculating the potential difference across a lamp

    Homework Statement The potential divider XZ has a potential of 3.0 V across it. When the contact is at the position Y, the resistance of XY equals the resistance of YZ which equals 12Ω. The resistance of the lamp is 4.0Ω. Picture of the relevant circuit...
  4. N

    How to Calculate the Potential Difference on a Charged Conical Surface?

    Homework Statement A conical surface (an empty ice-cream cone) carries a uniform surface charge σ. The height of the cone is a, as is the radius of the top. Find the potential difference between the points P (the vertex) and Q (the center of the top). Homework Equations V(P) =...
  5. R

    Induced potential difference for disk spinning in magnetic field

    Homework Statement A solid conducting disk of radius a rotates about its symmetry axis with angular speed ω rads/s. If there is a uniform magnetic field \mathbf{B} perpendicular to the disk derive an expression for the potential difference induced between the centre of the disk and its rim...
  6. A

    Exploring the Hall Effect: Can a Magnetic Field Induce a Potential Difference?

    The idea behind the Hall effect is according to my book that the magnetic field induces a charge distribution such that there is more positive charge on one side and more negative on the other. This induces a potential difference. But the question is: Is this the correct way to view it? I mean...
  7. R

    Finding the potential difference given two unknown points.

    Homework Statement I am trying to determine at what points the given potential difference will be using v=k(q2)/r2-k(q1)/r1. I know the location of both q1 and q2 using cartesian coordinates, as well as, there magnitudes which I have set each to one. q1=(1,0) q2=(-1,0) Homework Equations...
  8. I

    Capacitors, potential difference, electric displacement

    Question: Considering a parallel-plate capacitor that has a slab of dielectric with relative permittivity epsilomd = 5 and thickness d = 2 mm occupies half of the gap. The half is air with relative permittivity epsilom2=1 Denoting the electric field, and electric displacement in the...
  9. amjad-sh

    The battery and its potential difference

    Hello everybody :smile: can anybody explain to me why there is potential difference in the battery (and when we say the potential difference of the battery is Va-Vb =12 v can both electric potentials be positive for example Va=20v and Vb =8v ) . From the last , can somebody illustrate to me in...
  10. S

    Changing magnetic field creates potential difference

    I can understand Faraday's law when viewed in this situation: A loop moves into an area of constant magnetic field. I understand this because in terms of the Lorentz force it works and creates the same answer using magnetic flux/faraday's law. Now consider the example of the loop of wire...
  11. R

    Finding distance between two charges given their potential difference.

    Homework Statement I am trying to write a program in MATLAB where I input certain values and get a result of possible x and y coordinates. Writing the program is not a problem, I just need to simplify the equation for matlab. I am trying to rewrite a formula so I can find what the distance is...
  12. B

    Electric Potential, and Potential Difference

    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...
  13. D

    Find the voltage potential and potential difference

    Homework Statement Three point charges Q1=1 mC, Q2=-2 mC, and Q3=3 mC are, respectively located at (0,0,4), (-2,5,1), and (3,-4,6) (a) Find the potential Vp at P(-1,1,2); (b) Calculate the potential difference Vpq if Q is (1,2,3) Homework Equations V=KQ/r V=V1+V2+V3 The Attempt...
  14. O

    Correct formula to use for potential difference?

    My book can't stick to one formula EVER. In Q7 They start off using: E = −ΔV Δs (equation 20-4) Then magically go to: ΔV = EΔs Where is the negative sign because it never states to find the magnitude of the potential difference http://img198.imageshack.us/img198/6914/msbn.jpg I...
  15. B

    Potential difference across an inductor

    I have some confusion about how emf across an inductor is generated: The potential difference across an inductor is an induced emf produced by the changing magnetic flux through the coils of the inductor. In general, electric potential is a scalar potential of the electric field. Hence the...
  16. B

    How does a battery create potential difference

    i understand that the difference in potential energy creates an electromotive force that moves electron between the anode and the cathode, but what creates that potential difference at the -ve * real not conventional * anode of the circuit ? does the battery take the electron from the positive...
  17. P

    Broglie wavelength - calculate electric potential difference

    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...
  18. A

    Electric Potential Difference for Speed of Light Percentage?

    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...
  19. A

    Calculating Electric Potential Difference for Machinery Operation

    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...
  20. P

    Electromagnetism, finding potential difference

    1. Four conductors of equal length are each moved through a uniform magnetic field moving away from us (into the page) in different directions and with different speeds, as shown in my attached diagram. While the four conductors are being moved through the field, in which conductor will the...
  21. N

    Understanding Low Potential Difference & Current Flow

    If potential difference between two points of wire is very low(as potential drop is very low due to low resistance) then how can there be flow of current in the wire?
  22. S

    Flow of current through zero potential difference

    there are two points A and C having a finite potential difference.they are connected by a wire of non zero resistance.a current will flow through the wire.the wire is now removed and a third point B is introduced which has an potential equal to A.a wire is taken which connects A,B,C.will a...
  23. X

    What is the potential difference in parallel plates?

    Homework Statement So I'm confused, if you have parallel plates: +++++++++++++++ ------------------- And there's an electron inside the plate: +++++++++++++++ e- ------------------- Does that mean the voltage of the negative terminal is higher than the positive terminal...
  24. A

    Find the Current and potential difference in a parallel/series circuit

    Homework Statement Okay. I got two different answers for these and I don't know which one is right so I could continue from there. If you will please help by letting me know which answer is right and why, I'd very much appreciate it. This is the figure...
  25. F

    How to find potential difference between 2 parallel deflection plates

    Homework Statement Describe by pointform how to find potential difference between parallel deflection plates, ΔV₂ = ? You don't have to solve. ΔV1 = 1.38 kV Δx = 5 cm Δy = 0.49 cm r = 5.2 cm q = 1.6 x 10^-19 C m = 9.11 x 10^-31 kg k = 9 x 10^9 Nm^2/C^2 Homework Equations ε = ΔV/d W = ΔEe =...
  26. F

    Potential Difference between two positive point charges

    Homework Statement Two equal positive charges Q are fixed on the x-axis, one at +a and the other at -a. (a) The electric field E at the Origin O (b) The electric potential V at the origin O Homework Equations E=-dV/dr --> V=kQ/rThe Attempt at a Solution VNet = V0 + V1 I got V0 = -kQ/r...
  27. E

    Capacitors - m having problem calculating the potential difference

    Q) In the adjacent circuit, find the potential difference across AB Fine , now i did the charge distribution as follows Now in the first loop (sorry i forgot to mention the points in my image) applying kirchhoffs loop law 10 = q1/8 + q/8 or, q + q1 = 80 Next in the second loop...
  28. C

    Show that potential difference can be defined in these two ways

    Homework Statement Show that P.D = {|E|} × {d} is equivalent to P.D = \frac{W}{Q} Potential Difference equals electric field strength meters, or work done per unit charge (for the equation P.D = |E| X d I cannot remember if it is a dot or cross product. I'm asking this question from...
  29. J

    Potential difference in parallel circuit

    Homework Statement I am currently revising some AS level Circuit modules and I'm having trouble seeing how the P.D across 3 components in a parallel circuit can each have the same value as the P.D of the battery. I am probably just being dumb but its just not making sense! such as this...
  30. E

    Question about potential difference?

    Question about potential difference?? Homework Statement A very long wire carries a uniform linear charge density λ Using a voltmeter to measure potential difference, you find that when one probe of the meter is placed 2.5 cm from the wire and the other probe is 1cm farther from the...
  31. W

    Calculating Potential Difference in a Series Circuit

    1. If the current in the 4.0 ohm resistor is 1.4A. What is the magnitude of the potential difference. Va-Vb? 2. V=IR, 1/Req=1/r1 +1/r2 ... 3. Va-Vb= 48V I was stuck on beginning of the question. I knew how to start if the voltage is given but now asking me to find the potential...
  32. S

    Electric Potential Difference and electric field

    Homework Statement A uniform electric field points in the –y direction with magnitude 325 V/m. Find the electric potential difference VB-VA between the points A at (-0.200, -0.300) m and B at (0.400, 0.500) m. Homework Equations ∆V=-int(E . dl) (Dot Product) The Attempt at a...
  33. B

    Potential difference of an inductor equal to minus the induced emf?

    Hi, Two questions I'm finding it hard to get my head around with inductors... Say we have an increasing current, this is going to cause an increase in flux in one direction, which will induce an emf to drive a current which produces a magnetic field to oppose the change in flux. Than doing...
  34. C

    Calculating electric field strength, potential difference, and force.

    Homework Statement I'm pretty sure I have done questions 1 to 4 correctly, it is just question 5 I am struggling with. I have an exam in one week and this is revision so it will not get marked by a tutor, and it would really help if someone could give my answers a quick check and help me...
  35. M

    Understanding Potential Difference in Terms of Electric Field and Distance

    I posted the question and the answer from the book inside the paint document. My question is why is the answer not... Δx = 3-1 = 2m ΔE = 200-0 = 200V/m ΔV = -(Area under E vs x graph) = -Δx*ΔE/2 = -200 V
  36. A

    Magnitude of Potential Difference Between Two Points

    1. Homework Statement [/b] So I found this problem online, and I really do not know how to go about solving it! My professor has done similar problems in class, but it's still a little confusing. A current of 1.2 A flows from A to B. Therefore, the magnitude of the potential difference...
  37. V

    De Broglie wavelength in terms of accelerated potential difference

    Problem: Derive a formula expressing the de Broglie wavelength (in Å) of an electron in terms of the potential difference V (in volts) through which it is accelerated. Solution (so far): The textbook's answer is the following, \lambda=12.27[V(\frac{eV}{2m_{0}c^{2}}+1)]^{-\frac{1}{2}} I'm...
  38. G

    Archived Coaxial Cable With Potential Difference between conductors

    1. A coaxial cable is powering a light bulb with a steady flow of current (DC current). The electric potential difference between the outer and the inner conductor of the cable is delta V and the current flowing in the cable is I. The inner conductor's outer radius is a and the outer conductor's...
  39. H

    Classical/Relativistic electron through a potential difference

    Homework Statement An electron is accelerated through a potential difference of 2.044 MV. (a) find the kinetic energy, energy, speed (in c), and momentum classically. (b) Do the same relativistically. Charge of the electron is ## e = 1.6 \times 10^-19 C ## Rest mass is ## m_o =...
  40. S

    Potential Difference ( Battery + Motor )

    Homework Statement Hey, I know this is exteremely basic problem and the answer is "easy", but I can't just get the exact idea why it's so. "The starting motor of particular car has a resistance of 0,15 Ω and is powered by 12 V battery through a cable which has a resistance of 30 mΩ ...
  41. M

    Potential difference in a uniform electric field

    Homework Statement An insulating rod having linear charge density l 5 40.0 mC/m and linear mass density m 5 0.100 kg/m is released from rest in a uniform electric field E 5 100 V/m directed perpendicular to the rod (Fig. P25.9). (a) Determine the speed of the rod after it has traveled...
  42. dexterdev

    Conceptual difference between potential barrier & potential difference

    Hi PF, What is the conceptual difference between potential barrier and potential difference? both have an electric field associated with it. so is potential barrier a sort of potential difference itself and will it cause current flow in a closed circuit like diode shorted. Also why cannot we...
  43. K

    Potential difference in rod rotating in magnetic field

    Homework Statement Q: A rod of length l rotates with a uniform angular velocity ω about the axis passing through its center and perpendicular to its length. A uniform magnetic field B exists with its direction normal to the plane of rotation. The e.m.f. induced between the center and anyone...
  44. R

    Potential Difference and Capacitors

    So I am having some trouble conceptualizing potential difference, and how to calculate it without integrating the E-Field. My problem is how exactly would you calculate the potential difference between the two plates of a capacitor. When a capacitor is charged up with a battery of voltage V, the...
  45. C

    The Terms Potential & Potential Difference

    So I'm supposed to read Chapter 34 (Electric Current) in the next couple of days. I'm sure I'll have more questions about it but one question I have right now is what does the book mean by the term potential and potential difference. My teacher briefly explained it but I couldn't stay awake this...
  46. J

    Potential difference between the parallel metal plates

    Homework Statement Two metal plates are placed in parallel, 2mm apart. They are then connected to a fully charged 9V battery. Without discharging the plates, the battery is removed, after which the separation between them is increased to 1 cm. What is the new potential difference between the...
  47. B

    Three infinite sheets creating two regions - find the potential difference

    Homework Statement Hi all, I have this problem that was on a recent exam but I did not know how to make sense of it. So, suppose you have three infinite sheets, each layered on top of each other each separated by a distance d. So the first is d above the second, and the second is d above...
  48. M

    K-alpha xrays, potential difference

    Just want someone to check my work. I suspect I didn't do it right.The question is from Krane's Modern Physics Chapter 8, prob. 9In an X-ray tube electrons strike a target after being accelerated through a potential difference V. Estimate the minimum value of V required to observe the K_\alpha X...
  49. E

    Potential difference across water and oil causing explosion, how?

    Question: "An oil tanker has just entered port and is being cleaned using a high-pressure hose. The washing of the hull and deck continues until there is a large explosion. The fire marshal investigates and pronounces that the explosion was the result of cleaning the ship with water. Explain...
  50. A

    Potential difference across a diode

    Why is the potential difference across a conducting diode zero?
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