What is Potential difference: Definition and 699 Discussions

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. T

    Potential Difference of 1200 V Gives Electron 1200 eV Kinetic Energy

    An electron is accelerated from rest through a potential difference 1200 V. Give the electron's kinetic energy after this acceleration in electron-volts? ----I know the answer is 1200 eV but if someone could explain how to get the answer?? And how do I apply 1/2mv^2=qV
  2. N

    Potential Difference Between Capacitors in Circut

    Homework Statement The capacitors in the figure are initially uncharged and are connected as in the diagram (attached). Then switch S1 closed and switch S2 is left open. After a long wait, what is the magnitude of the potential difference V_{cd}? Answer in units of V. Homework Equations C =...
  3. A

    Potential Difference and Kinetic Energy

    Hello out there! I am having trouble figuring out how to set this up: A helium nucleus (charge +2e) moves through a potential difference V = −0.70 kV. Its initial kinetic energy is 3.80 10-16 J. What is its final kinetic energy? I feel like I should be using 1/2 mv^2=qV or E=qv. I feel...
  4. J

    Finding the potential difference

    Homework Statement A current of 1.82A flows through a copper wire 1.75m long and 1.10mm in diameter. a)find the potential difference between the ends of the wire b) what diameter of copper wire is needed to be a potential difference of .100V Homework Equations I know the resistivity of...
  5. jegues

    Electric potential difference to accelerate electron

    Homework Statement What electric potential difference is required to accelerate and electron, initially at rest, to the speed at which it will move in a circular path with radius 1cm when the electron enters a region of uniform magnetic field of 1.0T, if the field is perpendicular to the...
  6. M

    Speed of a charged object accelerated through a potential difference

    Homework Statement A 5.0 g object carries a net charge of 3.8uC. It acquires a speed v when accelerated from rest through a potential difference V. A 2.0 g object acquires twice the speed under the same circumstances. What is its charge? Homework Equations The Attempt at a...
  7. P

    Unexpected change in potential difference across a parallel circuit

    Hello, I have just completed a physics lab in which I was trying to prove that the potential difference across a parallel circuit remains constant regardless of how many resistors are connected in the circuit. The potential difference of the battery is 6V. As I connected the resistors, starting...
  8. V

    How do I explain it? Potential difference in the system discussed is independent

    How do I explain it?? Potential difference in the system discussed is independent Hi folks, - please view the attached image - my colleague and I had a major disagreement in the office. We both mutually put a lid on the discussion as we both felt that we needed more information in order to...
  9. C

    How Does Charging a Conducting Shell Affect Potential Difference with a Sphere?

    Solved stupid mistake! i forget to consider potential on sphere due to shell ... my Bad! __________ __________Homework Statement Suppose there is a conducting sphere surrounded by a concentric conducting shell. the sphere is given a charge Q. Let the potential difference b/w the sphere and...
  10. C

    Difference between emf and potential difference

    I read this topic in many books but i really can't figure out what really the difference is! Please someone help me out! One of the book differentiated them as follows ... emf is the work done by the battery force (Fb) in moving unit charge from one electrode to another. emf is due...
  11. E

    Electric Potential Difference involving Alpha Decay question

    Homework Statement A plutonium-239 nucleus, initially at rest, undergoes alpha decay to produce a uranium-235 nucleus. The uranium-235 nucleus has a mass of 3.90x10^-25 kg, & moves away from the location of the decay with a speed of 2.62x10^5 m/s. Determine the minum electric potential...
  12. J

    How to Calculate Work Done Using Potential Difference?

    Could someone tell me how to solve this question please? The potential difference between the two terminals on a battery is 9 volts. How much work (energy) is required to transfer 10 coulombs of charge across the terminals.
  13. J

    Solve Potential Difference: V for 45J & 15C

    Could anyone help me with this question? I don't know how to find the Potential Difference. For example. It gives is say ( V is volts. Q is C - Culombs. E is J Joules) V= ? E= 45J Q= 15C I'm not sure how to solve this
  14. G

    Electric Potential Difference on a Cone

    Homework Statement I'm working out of Griffith's "Intro to Electrodynamics" and the problem states: "A conical surface (an empty ice-cream cone) carries a surface charge \sigma. The height of the cone is h as is the radius of the top. Find the potential difference between points a (the...
  15. R

    Rust Prevention by Electric Potential Difference.

    I hope I'm posting this in the right spot, but I've been wondering this for a while now and figured this would be the best place to ask... I know that rust is an process involving electricity and rust forms on the negatively charged anode right? If that's the case, since a car is on rubber...
  16. N

    Definition of electrostatic potential difference

    Everyone knows that the potential difference between two points 1 and 2 is given by \int_{1}^{2}{\vec{E}}\cdot d\vec{l}. My question is that can we calculate the potential difference between two point charges by this formula? Say, one of them is +ve charge and the other is a -ve charge...
  17. A

    Kirchhoff's Rules and potential difference

    Homework Statement Find the potential difference between points a and b. each resistor has R=130 ohms and each battery is 1.5V Homework Equations Kirchoff's First Rule: at any junction point, the sum of all currents entering the junction must equal to the sum of all currents...
  18. B

    Uniform electric field. Find the potential difference

    Homework Statement Point A (2,3)m and point B (5,7)m are in a region where electric field is uniform and given by E=(4i+3j)N/C. What is potential diff Va-Vb? Homework Equations Not a clue The Attempt at a Solution I tried converting the (4i+3j) into magnitude and that is as far...
  19. X

    Electric Potential at a Distance

    Homework Statement Find the electric potential difference at a point 4.0x10-2m away from an alpha particle. Homework Equations V= kq/r The Attempt at a Solution k= 9x109 r= 4.0x10-2 I'm not quite sure how to get this answer considering I don't have any charge and there's nothing...
  20. T

    Mass Spec Problem Accelerating potential difference ΔV is required to detect N2+?

    Homework Statement The image below shows a mass spectrometer, an analytical instrument used to identify the various molecules in a sample by measuring their charge-to-mass ratio e/m. The sample is ionized, the positive ions are accelerated (starting from rest) through a potential difference...
  21. Z

    Potential Difference between concentric shells

    Homework Statement The figure shows two concentric shells of radii R and 2R. A charge q is initially imparted to the inner shell. After the keys k1 and k2 are alternately closed n times, find the potential difference between the shells. The Attempt at a Solution Initially, the charge q is...
  22. P

    The magnitude of terminal potential difference?

    Homework Statement State the magnitude of the terminal potential difference between two supply terminals which are connected to a piece of lead with negligible resistance. The EMF of the circuit is 5000V with internal resistance of 2,000,000 Ohms. I don't really understand what "magnitude"...
  23. S

    Potential Difference: Definition & Calculation

    Hey every one, can you please tell me what potential difference is. Is it the amount of work needed to bring one coulomb charge from a point to another or is it the amount of work done to bring one coulomb charge from a point to another.
  24. N

    Charge and Potential Difference on 2 Capacitors

    Homework Statement A C_1 = 2.40 \mu(micro) F capacitor is charged to 861 V and a C_2 = 6.40 \mu(micro) F capacitor is charged to 662 V. These capacitors are then disconnected from their batteries. Next the positive plates are connected to each other and the negative plates are connected to...
  25. T

    Source with short circuit, 0 potential difference?

    In an example in my book (Uni. physics), there's a circuit with emf = 12V, internal resistance, r = 2 Ohm, and no external resistance, R = 0, short circuit. What I don't get, is that it says that across the terminals, the potential difference between these points must be zero since there is no...
  26. A

    Potential difference in junction of two cells one 4.5V and one 3V

    1. If two cells, one of 4.5V and one of 3V are connected in parallel what is the potential Difference across the junctions between them. 2. I = \frac{V}{R} 3. As 4.5v is greater it is the potential difference as they don't add up?
  27. K

    Potential difference across a resistor as measured by a voltmeter.

    Homework Statement The voltmeter shown in the figure below can be modeled as an ideal voltmeter (a voltmeter that has an infinite internal resistance) in parallel with a 11.0-MΩ resistor. Calculate the reading on the voltmeter for the following. R = 1.1 MΩ R = 10.8 MΩ R...
  28. J

    Concentric Cylindrical Conducting Shells Potential Difference

    Homework Statement An infiinitely long solid conducting cylindrical shell of radius a = 4.5 cm and negligible thickness is positioned with its symmetry axis along the z-axis as shown. The shell is charged, having a linear charge density λinner = -0.35 μC/m. Concentric with the shell is another...
  29. C

    Potential difference of spherical rain drops

    I absolutely have no idea how to answer this question. If someone could please explain to me what concept this question is trying to test and how to go about answering this question it would be immensely appreciated :) THE QUESTION: Two equal spherical rain-drops are both at a potential...
  30. Y

    Question about potential difference.

    yesturday I read in a book that it is not correct to say that p.d is the work done in moving a unit charge between the points concerned i can not understand that point please explain that!
  31. H

    Potential Difference from Electric field

    Homework Statement A uniform electric field with a magnitude of 1100 N/C points in the positive x direction as shown above. A positive charge of +4.4 μC starts at point A, then moves to point B, then to point C and then back to point A. What is the difference in electrical potential between...
  32. K

    Determin the Electric Potential Difference

    Homework Statement The drawing shows a uniform electric field that points in the negative y direction; the magnitude of the field is 3000 N/C. Determine the electric potential difference (a) VB - VA between points A and B, (b) VC - VB between points B and C, and (c) VA - VC between points C...
  33. D

    Parallel Plates and Potential Difference

    Two parallel metal plates are separated by 1.5 cm and are maintained at a potential difference of 1200 V. A proton, initially at rest, is released from the poisitive plate. When it reaches the negative plate its speed is : So i know that potential energy is Vq. So i went 1200 V x 1.602 x...
  34. B

    Potential difference between two points?

    This is a question from my highscool gr12 physics class Q) Two parallel plates are 8cm apart and are appositely charged. The electric potential difference across the plates is 160V. Point A is 2cm from the positive plate, point B is 3 cm from the negative plate. -What is potential difference...
  35. S

    Potential difference across a square

    potential difference across a "square" Homework Statement Two charges are placed at the corners of a square. One charge, +4.0 μ C, is fixed to one corner and another, −6.0 μ C, is fixed to the opposite corner. What charge would need to be placed at the intersection of the diagonals of the...
  36. L

    Potential difference given velocity of electron at 2 points

    Homework Statement An electron moves through an electric field, and its speed drops from 2900 {\rm m/s} to 1500 {\rm m/s} . What's the potential difference between the two points at which the speed was measured? Homework Equations U=qV K=mv^2/2 q=electron m=mass of electron The Attempt at...
  37. R

    A question on electricity (potential difference)

    In the situation shown in the figure a particle having charge q is executing simple harmonic motion of amplitude A and time period T in front of a CONDUCTING EARTHED SPHERE of radius R. The reading of the voltmeter when the charge particle is at its mean position(at a distance r from the...
  38. P

    Potential difference charge and Energy - Equation

    Homework Statement If the potential difference between a cloud and the ground is about 13MV , how much charge is transferred in a lightning bolt that releases 1.3GJ of energy? Homework Equations The Attempt at a Solution 1st can someone check my conversion - P.d=13*10^6V and...
  39. T

    Potential Difference with Series and Parallel Resistors

    Homework Statement In Figure 27-72, an ideal battery with an emf of = 14.0 V is connected to a network of resistances with R1 = 7.00 , R2 = 12.0 , R3 = 4.00 , R4 = 1.00 and R5 = 6.00 . What is the potential difference across R5? FIGURE: |----**R1**---| |...
  40. M

    Electric Potential Difference Between Two Charges

    Homework Statement What is the difference in electric potential between a point midway between the charges and a point 0.05 meters away from the positive charge but along the line between the charges? Homework Equations UE = K * (Q1*Q2)/r The Attempt at a Solution K = 9.0x109Nm2/C2 UE =...
  41. C

    Potential Difference and spark plug

    A spark plug in a car has electrodes separated by a gap of 0.025inches. To create a spark and ignite the air-fuel mixture in the engine, an electric field of 3.0 x 106 V/m is required in the gap. (a) What potential difference must be applied to the spark plug to initiate a spark? (b) If the...
  42. M

    How to visualize a potential difference?

    A proton (at rest) is accelerated through a potential difference of 100 v, and it gains speed... how can I picture this in my head so i can understand it? My idea: Potential difference is the difference between two points a and b. So the proton is traveling from point a (where the potential is...
  43. G

    [Circuit] Potential Difference question

    Homework Statement http://www.sewanee.edu/physics/PHYSICS102/Ch28.pdf It is number 18 in the link. The Attempt at a Solution I found the three currents but i don't know how to find the Potential Difference between two points. what formula am i supposed to use?
  44. S

    Potential Difference Across an Inductor in an RLC circuit

    Homework Statement An alternating source drives a series RLC circuit with an emf amplitude of 6.0V, at a phase angle of +30deg. When the potential difference across the capacitor reaches its maximum positive value of +5.00V, what is the potential difference across the inductor? Homework...
  45. T

    Calculating potential difference

    Homework Statement In a 50 V circuit with a 400 Ohm resistance and a 600 Ohm resistance in series; Point A is between the two resistors and point B is to the right of the 600 Ohm resistor. Charge is moving from right to left. Homework Equations V=IR The Attempt at a Solution...
  46. S

    Potential difference and a conductor

    Homework Statement A solid spherical conductor carries a charge Q. It is surrounded by a concentric uncharged spherical shell. The potential difference between the surface of solid sphere and the shell is V. If a charge of -3Q is given to the shell. Then the new potential difference between...
  47. L

    Terminal Potential Difference

    Homework Statement I have a question, in one of my problems in the book(too complicated to post here), they ask for the terminal potential difference across a battery. But usually the formula is (Terminal Potential difference)= (emf)-(I X r) where r is the internal resistance. Like in one case...
  48. L

    Maximum Potential Difference in Parallel Resistors with Equal Resistance

    Homework Statement Given three 4 ohms resistors rated at 20 W, find the maximum potential difference that can be applied if they are connected all in parallel... Homework Equations The Attempt at a Solution so in this case i first calculated the current using P= I^2R, which gives...
  49. L

    Potential Difference: Negative Potential Explained

    Homework Statement Like I'm doing a problem right now which is too long to copy or paste here, its basically a circuit where there are 3 batteries in parallel, and in one of them, current is passing through the battery from the positive to the negative terminal (from high to low potential)..now...
  50. A

    Circuit: Potential Difference

    Homework Statement For the circuit in the figure below, V = 3.56 V and R = 2.04 Ω. Find the potential difference between points a and b. This is the link to the figure: http://i749.photobucket.com/albums/xx137/abcdmichelle/physics/26-62alt1.gif Homework Equations V=IR The Attempt...
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