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. H

    Circuit analysis potential difference

    Homework Statement What is the Potential difference between X and Y ? Homework Equations KVL and KCL The Attempt at a Solution I am confused about the two possible answers : 1. 9V (From general concepts) 2. 3V (after applying the KVL and KCL) I think the 2nd answer...
  2. M

    What is the value of r given the change in electric potential?

    The electric potential at a distance r from a positive point charge is 45V. The potential increases to 50 V when the distance from the charge decreases by 1.5 m. What is the value of r? A 1.3m B 1.5m C 7.9m D 15m Homework Statement the answer is D Homework Equations V=(1/4∏ε)...
  3. R

    Potential Difference of Hollow Circular Cylinder

    Homework Statement A hollow circular cylinder of radius a and length b, with open ends, has a total charge Q uniformly distributed over its surface. What is the difference in potential between a point on the axis at one end and the midpoint of the axis?Homework Equations U = kq/r The Attempt...
  4. T

    Potential difference vs Potential energy

    G'day! I was looking over my notes about gravitational potential energy and I came across the graphs that I drew in class of the gravitational potential energy of a mass with reference point at infinity compared with the potential energy of a mass with reference point at the surface of the...
  5. L

    Electric Potential and Energy on a Circular Arc?

    Homework Statement three point charges are located on a circular arc as shown: a) find the electric potential at the centre of the arc (point P) b) find the electric potential energy of a 25 pC point charge placed at P Diagram: [ r= 4 cm = 0.04 m]...
  6. Z

    Why Doesn't My Potential Difference Calculation Match the Given Answer?

    I reduced to equivalence capacitance and found the potential difference between the nodes based on what was provided using the rules of parallel and series and my final answer doesn't match the answer given. I have a test in two days and have been studying this along with other subjects. Could...
  7. K

    Osmotic pressure difference,pressure and electrical potential difference.

    I have an exam on monday, for a course I'm not familiar with. I have studied the material and tried some example exam question but I can't seem to figure out how to get to the result of the following questions. Q1: Homework Statement A sample of hydrogel is in equilibrium with a sodium chloride...
  8. M

    Using the Loop rule to find potential Difference

    Homework Statement Find the potential difference between points a and b. Picture of Circuit involved. Homework Equations V=IR ΔV=Vb-Va The Attempt at a Solution Pretty much completely lost, due to the only one current shown I'm not sure which way the current flows through...
  9. N

    What is the Potential Difference Across the 4.50-kΩ Resistor?

    Homework Statement A circuit consists of a series combination of 5.50-kΩ and 4.50-kΩ resistors connected across a 50.0 V battery having negligible internal resistance. You want to measure the true potential difference (that is, the potential difference without the meter present) across the...
  10. N

    Electric potential difference across capacitor and resistor

    Homework Statement In the circuit shown a resistor of 200k ohm is in series with a capacitor of 500uF and a 9v battery. Switch closed at t=0. What is the electric potential difference across the capacitor and the resistor at t=100? Homework Equations Q=cv Tau=rc Q=q(1-e^t/rc)...
  11. P

    Question finding Vf of a charge moving through potential difference

    Homework Statement A 2kg charge of +3C moves through a potential difference of 6V and begins at rest. What is its final velocity? Homework Equations m = 2kg q = +3C dV = 6V Vi = 0 m/s Vf = ? F = m*a (Vf)2 = (Vi)2 + 2(a)(d) dV = (ke)(q)/(r) 1 N/C is equal to 1 V/m The Attempt at a...
  12. C

    Understanding Electrical Potential and potential difference.

    Hi, I'm trying to understand electrical potential and potential difference. I was wondering if anyone can confirm if what I have written is correct or not? If not I would be glad to learn what I am yet not understanding. When you push away an electron of negative charge from a positive...
  13. N

    Spherical Capacitor with Charge, Potential Difference and More

    Homework Statement A spherical capacitor contains a charge of 3.10nC when connected to a potential difference of 220V . If its plates are separated by vacuum and the inner radius of the outer shell is 5.00cm . Part A) Calculate the capacitance. Homework Equations C = Q/V C = Aε0/d...
  14. H

    Finding the electric potential difference?

    Homework Statement Please don't do the problem for me, but explain to me in detail each steps I should take and why in my calculations (so I didn't include any numbers). There's an insulating infinite cylinder of equal charge distribution at origin (density given- rho). Let's say it's radius...
  15. T

    Potential Difference of an Insulating Sphere

    Homework Statement Charge 6.00 is distributed uniformly over the volume of an insulating sphere that has radius = 5.00 . What is the potential difference between the center of the sphere and the surface of the sphere? Homework Equations ΔVab= -∫E*dl Electric field inside an insulating...
  16. F

    Potential difference to bring a proton to rest

    Homework Statement A proton has an initial speed of 3.5×10^5 . What potential difference is required to reduce the initial speed of the proton by a factor of 2? Homework Equations KE=.5*m*v^2 EPE=q*V The Attempt at a Solution I did KE=.5(1.67x10^-27)(3.5x10^5/2)^2 and then divided...
  17. A

    Potential difference that needs to be mantained

    Calculate the potential difference that would have to be maintained across the plates of a parallel plate apparatus, if the plates were 1.2cm spat, to create an elecric field strength of 1.5x10^4 N/C. i have no idea how to do this! someone please help
  18. S

    The Potential Difference between 2 points

    Homework Statement What is the potential difference between points a and b in the diagram? http://imgur.com/Ubr4A Homework Equations The Attempt at a Solution I have calculated the currents to be: I1=0.30A I2=0.65A I3=0.35A What I tried doing was (0.30*5) - 0.35= 1.15 V but...
  19. C

    Potential difference on complex circuits

    ****WARNING-THIS IS NOT A HOMEWORK-WARNING**** Hello dear Physics Forums users, I have no idea about how to find the potential difference between two points in a complex circuit. I m not even sure if I really know how to find it in a basic circuit. Please help me and enlighten me with your...
  20. K

    Definition of voltage (potential difference)?

    I understand the definition to be the amount of work done in moving a charge from one point to another divided by the charge. If you have a standard 1.5 volt battery, the charge should move easily from one end of the circuit to the other because the positive terminal attracts the electrons...
  21. AGNuke

    Potential difference between two large plate changing with time

    The potential difference between two large parallel plates is varied as V=at; a is a positive constant and t is time. An electron starts from rest at t=0 from the plate which is at lower potential. If the distance between the plates is L, mass of electron m and charge on electron -e then find...
  22. I

    Question about potential difference in circuit with resistance

    Sorry for this post, but I am desperate for an answer. Please reply thanks in advance Consider a simple circuit composed of a battery whose ends are connected by a wire. The potential difference of the battery is Vbatt ohm's law gives: V=IR If the resistance of the circuit is ignored then the...
  23. M

    Potential difference in series and parallel

    why is potential difference same in parallel and gets divided in series,also what does it means this much pd is apllied by cell.pleaseeeeeee explain working of all this,i am getting frustrated as i am not able to understand
  24. K

    What is the potential difference between points A and B in a circuit?

    Homework Statement The Cells in a circuit has 2V and 4V emfs and 2Ω and 6Ω internal resistance respectively. Find the potential difference between AB Homework Equations V=IR Kirchoff's Laws The Attempt at a Solution The attempts are in image
  25. M

    Can anyone tell me the relationship between work done and potential difference?

    Can anyone tell me the relationship between work done and potential difference?? CAN ANYONE TELL ME THE RELATIONSHIP BETWEEN WORK DONE AND POTENTIAL DIFFERENCE?? If more work is being done across a component(for ex due to increased resistance), does the pd across it increase or decrease? I...
  26. D

    Potential difference in a sphere relative to infinity

    Homework Statement A thin plastic spherical shell of radius a is rubbed all over with wool and gains a charge of -Q. What is the potential relative to infinity at location B, a distance a/3 from the centre of the sphere?Homework Equations \text{$\Delta $V}=\int...
  27. T

    Understanding Potential Difference and EMF in Electric Circuits

    hello... potential difference between two points in a circuit is the work done by the electric field to get a charge from point to another and for the emf it's also the work done but my question is for a potential difference the work is negative( the electrons lose energy) and for the emf the...
  28. P

    Potential difference and terminal potential difference

    I really need to know the difference between the two as I have an exam tomorrow D:. What is the difference between the two and how do I calculate each one of them? The book says " IR is the potential difference that is measured across the load resistor R. This is the same as the potential...
  29. S

    Potential Difference of Split Capacitor: Understanding Charge Dis-Equilibrium

    See attachment. Assume that the two capacitor's plates were originally connected together as one capacitor, and thus their plate separations were equal, along with their charge densities. In the photo below then, the capacitor has been split down the middle and with one halve the distance...
  30. A

    Potential difference between two cylinders

    I need help with the attached exercise. Problem is not that I am not able to do it. You can find the field of an infinite cylinder with Gauss' law and then use that to find the potential difference. My solutions notes however do it in a slightly different way, still arriving at the correct...
  31. W

    Calculate Charge from Mass, Potential Difference & Distance

    Homework Statement Find the charge find the charge: mass : 3.6*10^-12 kg electric potential difference: 250.4 V parallel plates are 0.41 cm apart PLEASE DO NOT link me a wikipedia page.. or give me a one sentance explanation of something unrelated to this question Just need to know how to...
  32. M

    Potential Difference in a Circuit

    Homework Statement What is the current and potential difference across the 4Ω, 12Ω, and 8Ω resistors. What is the potential difference across a and b https://fbcdn-sphotos-a.akamaihd.net/hphotos-ak-ash4/389632_3598331272733_1107039398_3285590_155442550_n.jpg Homework Equations V=IR...
  33. A

    RC circuits and potential difference

    Homework Statement Circuit is at this link: http://www.colorado.edu/physics/phys1120/phys1120_sp08/hws/capa8_figs/gian1946.gif 1. What is the potential at point a with S open (let V=0 at the negative terminal of the source, and assume it's a long time after the circuit was connected to the...
  34. C

    Find the individual charge (and potential difference?) on each capacitor

    Homework Statement Four capacitors are connected as shown in the figure below. (Let C = 18.0 µF.) Find the equivalent capacitance between points a and b Calculate the charge on each capacitor, taking ΔVab = 17.0 V Homework Equations Q = CΔV C = Q / ΔVΔV1 = ΔV2 = ΔVtot (for parallel...
  35. H

    How Electric potential and potential difference work in batteries

    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...
  36. Y

    How can i find the Potential difference?

    Homework Statement Through what potential difference must an electron be accelerate, starting from rest, to acquire a speed of 0.99c? vf=0.99c(m/s), vi=0(m/s), m=9.11e-31(kg), q=1.6e-19(C) Homework Equations E=γmc^2=V*q The Attempt at a Solution I plugged in all knowns in the equation and...
  37. S

    Determining the direction of electric field flow and the sign on potential difference

    Homework Statement A resistor made from a shell with an inner radius r1 and an outer radius r2 hasa conductivity sigma. The current flows radially outward. 1.What direction does the E field point in. 2. Is the potential difference V2-V1 positive or negative. Homework Equations None...
  38. N

    Calculating Hall Potential Difference in a Subway Third Rail

    Homework Statement The electric third rail in a subway system is made of steel, measures h=0.1m high, w=0.02m wide, and carries a current I=110A. Calculate the Hall potential difference across the rail from corner to opposite corner due to the Earth's magnetic field with components...
  39. C

    How do you work out the potential difference between two point charges?

    I'm having trouble trying to understand what a volt is, and I thought this question might be able to help me understand, so.. For example: If there are 10^6 electrons in one place, and 100 electrons in a different place, what will the potential difference between these two places be. Also...
  40. W

    Calculating Potential Difference for a Bird on a Power Line

    A bird, whose feet are 3cm apart, perches on a bare "High tension" power line carrying a current of 720A. If the wire has a resistance of 80μΩ/m, calculate the potential difference between the bird's feet. Do you think the bird will be electrocuted? r = p * (L/A) I have the...
  41. D

    Relating charge to potential difference

    Homework Statement Ions with mass m and charge q are accelerated through a potential difference V. They then enter a uniform magnetic field perpendicular to their velocity and are deflected in a semicircular path of radius R What potential difference V is needed so that singly ionized 12C...
  42. C

    Finding potential difference across capacitor plates?

    Homework Statement Two capacitors are identical, except that one is empty and the other is filled with a dielectric (k=3.6). The empty capacitor is connected to a -11V battery. What must be the potential difference across the plates of the capacitor filled with a dielectric so that it stores...
  43. G

    Solving for Potential Difference Between (4,6,3) and (8,1,6)

    1. Homework Statement [/b] Problem - Compute the potential difference between the points (4,6,3) and (8,1,6) due to a constant electrostatic field given by E = (2 ihat + 7 jhat + 12 khat) N/C. distance in metersHomework Equations Fq = qE Vr = Keq1/(r-r1) Fq = (Kq1 (r-r1))/(r-r1)3 The...
  44. I

    Electron accelerated through a potential difference of 26000

    Homework Statement An electron is accelerated from rest through a potential difference of 26000 V, which exists between plates P1 and P2, shown below. The electron then passes through a small opening into a magnetic field of uniform field strength, B. As indicated, the magnetic field is...
  45. I

    Potential difference of capacitor in circuit

    I'm having a problem with this although I just finished the chapter about electric potential and potential energy in University physics by young and freedman and I need to understand this because the next chapter is about capacitors and dielectrics and there is an example just like this...
  46. H

    Calculating electrical potential difference with a sphere

    Homework Statement A sphere with radius 2.0 mm carries a 1.0 μC charge. What is the potential difference, VB - VA, between point B 4.0 m from the center of the sphere and point A 9.0 m from the center of the sphere? (The value of k is 9.0 × 10^9 N∙m2/C2.) Homework Equations The formula...
  47. S

    Potential difference of a conducting pipe

    Homework Statement A conducting cylindrical pipe has an inner radius Ra and an outer radius Rb. a charge q is released inside it. Assume the length of a cylinder L>>Rb. Find the potential difference between the axis of the cylinder and outer surface. Homework Equations Vb-Va=-∫E*dl...
  48. F

    Potential Difference of a Capacitor System

    Homework Statement The capacitors in the figure are initially uncharged and are connected, as in the diagram, with switch S open. The applied potential difference is V_ab = 210V. a) What is the potential difference V_cd? b) What is the potential difference across each capacitor...
  49. C

    Abs Values in Electric Potential & Potential Difference?

    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...
  50. P

    Magnetic Field, potential difference and speed

    Homework Statement An electron is accelerated by a potential difference of 3000V and enters a region of a uniform magnetic field. As a result the electron bends along a path with a radius of curvature of 26.0 cm. Find the speed of the electron as it enters the magnetic field. Homework...
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