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. E

    Minimum Potential Difference Required

    Homework Statement Consider a magnetron. It consists of an electron-emitting filament at the center of a cylindrical anode situated in a uniform magnetic field. Electrons of charge e and mass m are emitted with negligible velocity from the filament. What is the minimum potential...
  2. G

    Potential Difference Across Resistor (RC Circuit)?

    Homework Statement For the RC Circuit (R = 1M Ohm, C = 1 Micro Farad and E = 30 V) find the potential difference across the resistor 10 sec after the switch is closed. Homework Equations V = E (1 - e^ -t/RC) The Attempt at a Solution I use the above equation but I get it wrong...
  3. S

    How Does Changing the Voltmeter Affect Potential Difference Readings?

    potential difference? Homework Statement picture shown in attachment The sliders are at the mid-point of the potential dividers. 1. Find the potential difference recorded by a digital voltmeter of infinite resistance connected as the voltmeter V in each circuit. 250/2 = 125...
  4. S

    Calculating potential difference

    I have done 1, i can't get the right answer for question 2. i seem to be getting minus7.5 volts. i know that's not anywhere near right because you can't get a minus voltage. i have tried many different ways to do this and i still can't get the right answer To get question 1 i used ohms law...
  5. J

    What Potential Difference Causes a Charged Sphere to Tilt 30 Degrees?

    Homework Statement A small sphere with mass .015kg hangs by a thread between two parallel vertical plates .05m apart. The plates are insulating and have a uniform surface charge densities +σ and -σ. The charge on the sphere is q = 8.9 x 10^-6 C. What potential difference between the plates will...
  6. N

    Potential difference between two points

    we know the current flow only when there is a potential difference between two points.consider the point A and B in the file attached ,both A and B are at same potential then why the current flow between them
  7. S

    Magnetic Field and potential difference

    Homework Statement Electrons are accelerated from rest through a potential difference of 351 V. Then these electrons enter a uniform magnetic field that is perpendicular to the their initial directon. Due to the interaction with the magnetic field, they move in a circular path of radius...
  8. J

    Electric potential difference question

    Two parallel horizontal plates are 0.4 cm apart in air. An oil droplet of m = 4.9*10^-17 kg is introduced between the plates. If the drop has 2 electronic charges and if there is no air buoyancy, you can hold the droplet motionless between the plates if you keep the potential difference between...
  9. J

    Parallel Plate Capacitor (work and potential difference)

    Homework Statement Professor Milly Coulomb finds it takes 3.0 J of work to drag, at constant speed, a -9.0 mC charge between the plates of a parallel plate capacitor. (a) What is the work done by the electrical force in taking the charge between the plates? (b) What is the potential...
  10. C

    Potential Difference in a Capacitor

    Homework Statement An isolated large-plate capacitor (not connected to anything) originally has a potential difference of 1030 volts with an air gap of 2 mm. Then a plastic slab 1 mm thick, with dielectric constant 5.1, is inserted into the middle of the air gap as shown in Figure 16.70. As...
  11. G

    Electric fields, distance, and potential difference

    Homework Statement The potential difference between the accelerating plates of a TV set is about 20 kV. If the distance between the plates is 1.0 cm, find the magnitude of the uniform electric field in the region between the plates. Homework Equations V=ED so E=V/D where E is the...
  12. K

    Potential difference and electron speed

    Homework Statement Through what potential difference would an electron need to be accelerated for it to achieve a speed of 5.8% of the speed of light (2.99792x10^8 m/s), starting from rest? Homework Equations E=Vq E=.5mv^2 The Attempt at a Solution Vq=.5mv^2 V=(.5mv^2)/q...
  13. A

    Potential difference between plates

    Homework Statement a certain parrallel plate capacitator has a plate separation d and a potential difference between the plates of V. If the electric field between the plates is uniform a) What is the strength of the electric field F Homework Equations Coloumbs Law F=k(q1q2/d^2)...
  14. N

    Finding Current and potential difference in a circuit

    Homework Statement The 5.00-V battery in the figure ( http://session.masteringphysics.com/problemAsset/1009413/11/yf_Figure_26_42.jpg ) is removed from the circuit and replaced by a 20.00-V battery, with its negative terminal next to point b. The rest of the circuit is as shown in the figure...
  15. M

    Potential difference between two points for a circuit with two batteries

    Homework Statement The problems tells me to determine the potential difference between between two points. I alrady know that the potential of one point is zero. The problem I am having is that the cirucit has two batteries. I do not have a question so i will describe it, it hsould be easy...
  16. T

    Potential Difference: Equal Charge, Line Charge & Ring Charge

    What is the potential difference between two equal charge/line charge/ring charge? Is it zero everywhere, or only in middle of the two?
  17. P

    Electric potential difference during a thunderstorm

    Homework Statement During a particular thunderstorm, the electric potential difference between a cloud and the ground is Vcloud-Vground = 1.3 X 10^8 V, with the cloud being at the higher potential. What is the change in an electron's electric potential energy when the electron moves from the...
  18. W

    Potential Energy and the Electric Potential Difference

    I'm back again this week with a problem: A particle has a charge of +1.5 Micro Coulombs and moves from point A to point B, a distance of .20 m. The particle experiences a constant electric force, and its motion is along the line of action of the force. The difference between the particle's...
  19. N

    What Reverse Potential Difference is Required to Stop a Current in a Photoelectric Cell with a Caesium Surface?

    Homework Statement The work function of caesium is 1.35eV. A photoelectric cell has a caesium surface and is illuminated with monochromatic light of wavelength 400nm. What reverse potential difference must be applied to the tube to just stop a current passing through it? Homework Equations...
  20. K

    Potential difference between plates

    Homework Statement he electronic flash attachment for a camera contains a capacitor for storing the energy used to produce the flash. In one such unit, the potential difference between the plates of a 705 µF capacitor is 320 V. (a) Determine the energy that is used to produce the flash in...
  21. K

    Potential Difference in particle

    Homework Statement A particle with a charge of -1.5 µC and a mass of 3.0 x 10-6 kg is released from rest at point A and accelerates toward point B, arriving there with a speed of 50 m/s. (a) What is the potential difference VB - VA between A and B? Homework Equations v=(square...
  22. S

    Calculating Potential Difference Between Pt A and B

    Just wondering how do you calculate the potential difference between Pt A and B in the picture. http://img370.imageshack.us/img370/5554/16004537xc8.th.jpg Value of E: 95 N/C AB=0.33 m the angle is 42 I researched and found an equation V= Ercostheta but I've never seen or used this...
  23. J

    Velocity of Electron through potential difference

    Using your actual knowledge of the actual charge of an electron and the mass of an electron, determine he velocity of an electron that has been accelerated across a potential difference of 100000 volts. Please show me how to do this question. Thanks
  24. B

    Speed of Proton (given electric potential difference)

    Homework Statement A proton, initially at rest, is accelerated through an electric potential difference of 500V. What is the speed of the proton? Homework Equations V=k(q/r) Solving for r: r=k(q/v) v=d/t known charge of a proton: 1.6E-19C known value of k: 9E9Nm^2/C2 The...
  25. M

    Will the voltage or potential difference change?

    1. A positive charged rod is held near, but does not touch a neutral electroscope. The charge on the knob becomes 1) positive and the leaves become positive 2) positive and the leaves become negative. 3) - and the leaves become + 4) - and the leaves become -. I chose 1), but it's wrong. I...
  26. W

    Capacitances and Potential Difference.

    Homework Statement I am given a circuit wherein there is a capacitor C1 followed by a battery of PD E1 followed by a capacitor C2 followed by a battery of PD E2 connected back to C1. Find PD across C1 (v1) and C2 (v2) | _ E2_| C1 = = C2 |_E1_| Homework Equations...
  27. I

    Electric potential & potential difference

    Homework Statement There is no problem but I am trying to understand the definition of 'electrical potential.' What is it. What is electrical potential difference. It is the amount of work needed to move a charge from point A to point B divided by the magnitude of the charge. What is...
  28. A

    Find Potential Difference from Frequency & KE

    Homework Statement How would we find the potential difference given the frequency of the incident light and the kenetic energy of an the emitted electrons? Homework Equations E= hf-W V= w/q e= 1.602*10^-19 The Attempt at a Solution Given: f= 7.4*10^15 Hz KE= 1.9eV...
  29. clope023

    Potential difference on a charge between insulating plates

    Homework Statement A small sphere with mass 1.50g hangs by a thread between two parallel vertical plates 5cm apart. THe plates are insulating ahnd have uniform surface charge densities + and - \sigma. The charge on the shpere is q = 8.90 x 10^-6 C. What potential difference between the...
  30. M

    Finding electric potential difference to stop a electron between 2 plates

    Homework Statement Question: an electron with a velocity of 5.0x10^{}6 m/s is injected into a parallel plate apparatus through a hole in the positive plate. it moves across the vacuum between the plates. what would the potential difference have to be in order to stop the electron 25% of the...
  31. L

    Hat is the potential difference between X and 65cm mark in the circuit

    Homework Statement http://img152.imageshack.us/img152/696/1005200802ps4.png The wire XY in the circuit is made of a material of high resistivity and uniform area of cross-section. What is the potential difference between X and 65cm mark in the circuit? Homework Equations The Attempt at a...
  32. L

    Calculating Potential Difference in Parallel Circuits

    Homework Statement http://img241.imageshack.us/img241/1087/09052008hf9.png What is the potential difference across (i) AB (ii) BC. Homework Equations ?? The Attempt at a Solution (i) \frac{200}{400} \times 6 = 3V Is this right? :confused:
  33. P

    How to find the size of the electric potential difference between two points?

    Homework Statement A force of .053 N is required to move a charge of 37 microCoulombs a distance of .25m in an electric field. What is the size of the electric potential difference between the two points? Homework Equations ? The Attempt at a Solution I'm really stuck...
  34. T

    What Is the Average Potential Difference in an AC Circuit?

    [SOLVED] Average Potential Difference Homework Statement The voltage across the terminals of an ac power supply varies with time according to V=V_0\cos(\omega t). The voltage amplitude is V_0 = 46.0 V From the prior question, I already figured out that the root-mean-square potential...
  35. E

    Finding the potential difference of an alpha particle.

    1. Through what potential difference (\DeltaV) would you need to accelerate an alpha particle, starting from rest, so that it will just reach the surface of a 15 x 10^(-15) m ^{238}U nucleus? 2. KE = q\DeltaV E = \gamma_{p}mc² r = \frac{mv}{qB} 3. Ok, I feel like I am close to what I really need...
  36. S

    Getting higher potential difference with Van De Graaff machines

    Using a Van De Graaff (VDG) machine, we can easily generate million-volt high voltage. The high potential difference can be generated effectively with minimum energy supplied to the machine. The larger the volume of the machine would be, the higher the voltage could get. However, stability...
  37. S

    Find the potential difference of point b relative to point a

    Homework Statement Find the potential difference of point b relative to point a. Homework Equations The Attempt at a Solution I found out that E1 = 18V and E2 = 7V but I don't know where to go from there.
  38. S

    Oh jesus. potential difference problems help per favore

    1) You have a potential difference of 6 volts. How much work is done to transfer .19 coulombs of charge through it? Answer in units of Jules. 2) Through what potential difference would an electron need to be accelerated for it to achieve a speed of 6% of the speed of light(2.99792e8)...
  39. S

    Oh really? potential difference sucks

    1) You have a potential difference of 6 volts. How much work is done to transfer .19 coulombs of charge through it? Answer in units of Jules. 2) Through what potential difference would an electron need to be accelerated for it to achieve a speed of 6% of the speed of light(2.99792e8)...
  40. T

    Finding the potential difference?

    Hi anyone can solve this problem? A volume charge density of pv= 1/r^2 uC/m^3 exists in the region bounded by 1.0m < r < 1.5m. Find the potential difference between the point A(3.0, 4.0, 12.0) and the point B (2.0, 2.0, 2.0). Anyone can show me the solution for this problem?
  41. T

    Potential difference problem (important)

    Homework Statement I really need help with this problem. The question is: Each side of an equilateral triangle measures 3.61cm. A charge of -0.34mC is placed at each vertex. what is the potential difference at the midpoint of the base of the triangle? Homework Equations V=kq/r [b]3...
  42. T

    Potential difference Calculation

    I am stuck on this question about potential difference, the question is: each side of an equilateral triangle measures 3.61cm. A charge of -0.34mC is placed at each vertex. what is the potential difference at the midpoint of the base of the triangle, i need quick help. Thank you.
  43. S

    Capacitance and Max Potential Difference

    Homework Statement (a) Determine the capacitance of a Teflon-filled parallel-plate capacitor having a plate area of 1.90 cm2 and insulation thickness of 0.0600 mm. (b) Determine the maximum potential difference that can be applied to the capacitor. kV Homework Equations I THOUGHT C =...
  44. G

    Calculating Proton Speed: 120V Potential Difference

    The question is to calculate the speed of a proton that is accelerated from rest through a potential difference of 120V. Qp(charge of proton) ~ 1.60E-19C...with this, DeltaU = Qp*DeltaV...in which DeltaU is positive. It makes sense since the proton is heading towards a higher electric...
  45. M

    What is the potential difference between points a and b?

    Homework Statement Six identical capacitors with capacitance C are connected as shown in figure 30.68 (attachment). What is the potential difference between points a and b? Homework Equations C=Q/V The Attempt at a Solution The Cequivalent = 3/2 C Therefore, Q = CV...
  46. S

    Dielectrics and Maximum Potential Difference

    Homework Statement The radiation detector known as a Geiger Counter uses a closed hollow cylindrical tube with an insulated wire along its axis. Suppose a Geiger tube as its called has a 1.0mm diameter wire in a tube with a 25mm inner diameter. The tube is filled with a low pressure gas whose...
  47. K

    What am I doing wrong? Potential Difference

    Homework Statement On attachment. Part B only. I got C. Homework Equations mass of proton is 1.673*10^-27 q0 = 1.60*10^-19 The Attempt at a Solution For part B I thought I could divide the intial speed by 2 and plug it back into the energy conservation equation: .5mv^2 + q0V1...
  48. F

    Potential Difference in spherical shell

    Homework Statement Figure 16.69 A thin spherical shell made of plastic carries a uniformly distributed negative charge -7e-10 coulombs (indicated as -Q1 in the diagram). Two large thin disks made of glass carry uniformly distributed positive and negative charges 1.7e-05 coulombs and...
  49. Z

    Potential difference of an electron

    Homework Statement Through what potential difference would an electron need to be accelerated for it to achieve a speed of 46.0% of the speed of light, starting from rest? The speed of light is c= 3.00 x 10^8 m/s m_e = 9.11 x 10^-31 kg |e| = 1.60 x 10^-19 C Round your answer to three...
  50. P

    Electric Potential Energy and Electric Potential Difference

    A pair of parallel plates is charged by a 12-V battery. How much work is required to move a particle with a charge of --4.0 microcoulombs (MC) from the positive to the negative plate? Given that, Emf = 12 V q = -4 x 10 -6 C I have, Work done (w) = q x V = -4 x 10 -6 x 12...
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