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).

View More On Wikipedia.org
  1. A

    Conical Surface Potential Difference

    Hey guys! The question is related to problem 2.26 from Electrodynamics by Griffiths (3ed). 1. Homework Statement A conical surface (an empty ice-cream cone) carries a uniform surface charge σ. The height of the cone is h, as the radius of the top. Find the potential difference between points a...
  2. J

    What Is the Sign of the Potential Difference Near a Negatively Charged Plate?

    Homework Statement A particle begins in a region where positive and negative charges are uniformly distributed and ends up in a region near a negatively charged plate. What is the sign of the potential difference in this case? Homework Equations N/A The Attempt at a Solution I assumed this...
  3. P

    What is the Potential Difference in a Non-Uniform Electric Field?

    Homework Statement The electric field in a region of space has the components Ey = Ez = 0 and Ex = (4.00 N/C·m) x. Point A is on the y axis at y = 3.60 m, and Point B is on thex axis at x = 3.00 m. What is the potential difference VB − VA? Homework Equations Vb- Vi = -∫ba E * dS The Attempt...
  4. R

    Capacitance Question - Total Energy, Potential Difference

    Homework Statement Two identical parallel-plate capacitors, each with capacitance 10.0 μF, are charged to potential difference 50.0 V and then disconnected from the battery. They are then connected to each other in parallel with plates of like sign connected. Finally, the plate separation in...
  5. recursive

    Capacitor Energy With Different Dielectrics

    Homework Statement Two parallel plates are connected to a battery which maintains a constant potential difference of 12.0 V. The distance between the plates can be varied and there are three plates of different dielectric materials available: rubber (0.40 mm, κ = 6.7), glass (4 mm, κ = 7) and...
  6. P

    Potential Difference Across Diode & Resistor

    Homework Statement Assume an ideal diode with ##V_t=0.6##v, find the potential differences across the diode V_ab and across the resistor V_bc as the forward bias voltage is varied from 0 to 10v. Hint: equivalent circuits may be useful Embedding the image wasn't working so...
  7. ElPimiento

    Work that must be done to charge a spherical shell

    1. Calculate the work that must be done on charges brought from infinity to charge a spherical shell of radius R = 0.100 m to a total charge of Q = 125 μC.2. V = k_e\int{\frac{dq}{r}} \triangle V = - \int{E \cdot ds} W = q\triangle V 3. I started with assuming the spherical shell produces an...
  8. Oribe Yasuna

    Potential Difference between Two Points affected by a Dipole

    Homework Statement A dipole is centered at the origin, with its axis along the y axis, so that at locations on the y axis, the electric field due to the dipole is given by E vector = 0, 1/4πε0 * 2qs/y^3, 0 V/m The charges making up the dipole are q1 = +6 nC and q2 = -6 nC and the dipole...
  9. UchihaClan13

    Potential Difference and flow of current

    Okay guys I am a beginner (in electrostatics as i just started studying it) I am thorough with kirchhoffs rules/laws But one thing which bugs me is this doubt So in the book that i am reading It says that even if the potential difference is zero,current flows through a wire I don't get how I...
  10. S

    Calculating the time to reach a potential difference

    Homework Statement Q: Two conducting balls of radius 0.1 m are situated 3m apart in free space. Electrons are transferred from one ball to another at a rate of 10^13 per second. How long does it take for a p.d of 100 kv to develop? Homework Equations where ε0 is the electric constant...
  11. A

    Finding potential difference between two points in a ladder circuit

    Homework Statement Find the potential difference ##V_A– V_B## for the circuit shown in the figure. Homework Equations Kirchhoff's laws. The Attempt at a Solution If we assign potentials to junctions starting by setting ##A=0## Current ##i_1## flow through each vertical resistances and ##i_2...
  12. kostoglotov

    How conductors/resistors affect electric fields?

    Disclaimer: I'm not sure if this is the correct forum. An ideal conductor (ideal = no resistance) is essentially taking the electric field at one terminal and connecting it to the other terminal. Charge moves when it is in an electric field, electric field strength is in Volts per meter, or...
  13. P

    How is electrical current delivered into houses?

    How is the potential difference done? How do they make electrons move? Do they use electrical field using positive (to atract them) or negative charges (to repel them)? Do they use variables magnetic fields?
  14. R

    Potential Difference: Can 2 Negatives Equal a Positive?

    Hi, I'm new to Physics Forum and I can figure out what it seems should be an easy problem. I have two DC power supplies both of which are putting out 24vdc. In my mind I should be able to test for potential difference between the (-) of one and the (+) of the other and read how many volts they...
  15. Q

    Potential Difference between 2 points

    Homework Statement A +4.0 μC-point charge and a -4.0 μC point charge are placed as shown in the figure. What is the potential difference, V_A - V_B, between points A and B? (k = 1/4πε_0 = 8.99 × 10^9 N · m^2/C^2)...
  16. J

    Circuit analysis -- Voltage question

    hello, i have a question regarding the way we represent information on circuit diagrams. The first is to do with representing output voltages: is V out always simply representing the voltage of whatever lies between/trapped between those two horizontal lines? Also, i see a lot of diagrams...
  17. M

    Potential Difference between two parallel charged plates.

    How do we find out the potential difference between two equal and opposite charged (conducting) parallel plates mathematically? Let the charge on a plate be 'Q', Total area of a plate be 'A', the distance between the plates be 'd'. I need a direct mathematical solution please, I've come across...
  18. kostoglotov

    What does it mean to say a battery is however many volts?

    For instance, at a point 1 meter from a 1 nC charge the voltage (potential difference) from the formula V = Kq/r, is given as 9 volts, 9 J/C. So what does it then mean to call a battery 9V, 9 J/C? Is this a battery capable of taking a 1 C charge from infinity and pushing to within 1m of a 1 nC...
  19. I

    Electric potential difference in a charge

    So I have two questions relating to potential difference 1.An electron with a velocity of 5.0x10^6 m/s injected into a parallel plate apparatus through a hole in the positive plate. it moves across the vacuum between the plates, colliding with negative plate at 1.0x10^6 m/s. what is the...
  20. goonking

    Potential difference between two points

    Homework Statement Homework EquationsThe Attempt at a Solution we know the electric field at A is 0, so the force is 0. V = work / charge = U / q = F⋅D / q the electric field at B is 4 times 3.6N/C = 14.4 N/C since E = F/q, F = Eq force, F = 14.4q at point b V = 14.4q⋅d/q the...
  21. G

    Potential difference of each resistor

    Homework Statement What is the potential difference across each resistor? I know that I'll have to incorporate the V=iR equation but I don't know where to start though... My first attempt was with these: R1=4 R2=8 R3=5 R4=6 R5=3 24-I1R1-I1R2-I3R3+I4R4+I5R5=0 but this lead me nowhere so I...
  22. gracy

    Potential difference: positive or negative?

    Why potential at a point can only be obtained by supposing/assuming a positive test charge there? For example There was a question In figure two points A and B are located in a region of electric field.,The potential difference ##VB##-##VA## is 1-positive 2-Negative 3-zero 4-none of the...
  23. M

    Solving for Electric Potential Difference in Square diagram

    Homework Statement I've attached a url with a picture of the problem setup and diagram https://instagram.com/p/7nYNXTscre/ Homework Equations I used the equation V = KΣiqi/ri to solve for potential at A and B The Attempt at a Solution For Va I used K((Q/d)+ (2Q/(d^2+d^2)^.5)) I just plugged...
  24. J

    Potential Difference of Inverted Hemispherical Shell

    The problems states: An inverted hemispherical bowl of radius R carries a uniform surface charge density σ. Find the potential difference between the north pole and the center. I was able to do the problem and got the correct answer the book gives, which is (Rσ/2ε0)(√2 - 1). My professor...
  25. C

    What happens when we connect 2 batteries + with +, - with -?

    Homework Statement Batteries are connected together with their + and - poles. Homework Equations The Attempt at a Solution I quess that nothing happens because there is no change in potential difference.
  26. Nader AbdlGhani

    Optimizing Current Intensity: Connecting Cells in Series and Parallel

    Homework Statement How can I get the maximum Current Intensity by connecting 72 cells to a 3 Ohm resistor each cell has a potential difference of 1.5 Volt and internal resistance of 1 Ohm Please don't tell me to connect them all in parallel or all in series as in parallel the potential...
  27. E

    Potential Difference between earth and battery

    When I connected the positive terminal of the battery to one terminal of the bulb and the other terminal (of the bulb)to the ground the bulb did not glow, even when a potential difference exists?
  28. E

    Potential Difference and electric shock

    Electricity travels from higher potential to lower potential then why don't we get an electric shock while holding aa high potential wire without touching the Earth ( we are also at lower potential)
  29. F

    Potential difference on circuit conductors....

    Hello Forum, Consider a simple DC circuit composed of a battery (say 2V), conducting wires and a single resistor R=2 Ohm The potential difference across the resistor will be exactly 2V only if the wires were superconductors (zero resistance). But wires do have some small finite resistance so...
  30. A

    Transformer and potential difference

    Homework Statement So i was in a course yesterday and the "teacher" told us the following (which i had a hard time believing/understanding) There is a load connected to a transformer. Applied potential difference is 230V. The load is malfunctioning and the insulation isn't working anymore. The...
  31. A

    Potential difference in a simple circuit with transistor

    Hello everyone..I have some difficulties in understanding the potential difference in a circuit with a transistor. Kindly refer to the picture provided. I understood that potential difference across Ry can be obtained from the formula in the picture. The potential difference across Rx plus Ry...
  32. H

    Electric Field and Potential difference

    Hey guys, I have a problem that I really have no idea what to do. It was discussed in class that we do not need to know how to integrate or use the dot product-- any of the complex stuff. 1. Homework Statement The electric field in a given region in space is given by (3 i - 1 j) x 10^5 N/C...
  33. L

    Calculating Potential Difference in a Teltron Tube

    Homework Statement If 3000V is applied to the teltron tube with EHT voltage, what would be the potential difference between the parallel plates in the teltron tube? Homework EquationsThe Attempt at a Solution Since one end of the plate is positive, the other end is negative, 3000V-(-3000V)=6000V
  34. toforfiltum

    Description of electric potential difference?

    Homework Statement Homework Equations V=IR W=VQ The Attempt at a Solution The answer is B, though I thought that electric potential difference is the ratio of energy to charge? Why is the answer stating the ratio of energy to current instead?
  35. R

    Finding the Potential Difference In Parallel Capacitors

    The question is based on the image below but is not the same. The question is as follows: Assume the capacitor is charged, so that there is a charge q on the top plate and a charge -q on the bottom plate. Determine the magnitude of the potential difference across the k2 region, answering in...
  36. S

    What is the relationship between electric potential and potential difference?

    what is electric potential?and what is the difference between electric potential and potential difference?
  37. M

    How to find the potential difference with constant charge

    Homework Statement How would i go about finding the electric field and potential difference when there is a constant charge density between the capacitor rather than a vacuum? Homework Equations int E dot dA = Qencl/epsilon0 V ab = int E dot dl The Attempt at a Solution to be honest I am not...
  38. L

    Capacitance, Potential difference

    Homework Statement Find the potential difference Va-Vb between points a and b. Homework EquationsThe Attempt at a Solution Each capacitors left plate will have difference amount of positive charge and right plate will have negative charge. After that i don't know how to proceed.
  39. S

    Confused about some details of potential difference

    I understand how to do calculations involving potential difference but I've never been able to find any information that helps me understand what is physically happening to cause it. My assumption is that for a PD to occur, there must be a build up of charge to cause the difference in...
  40. W

    Circuit Components-Potential differencd across LDR (photoresistor)

    Homework Statement The following figure shows a potential divider circuit made up of a LDR and a variable resistor R. It is used to activate a buzzer circuit which sounds only at 2.6V and above. The resistance of the variable resistor varies from 100ohm to 10kohm while the resistance of the LDR...
  41. AnkurGarg

    Electrochemical cell electrode potential difference

    In our textbook it is written that -voltmeter measures the electrode potential difference between 2 half cells (in an electrochemical cell) (electrode potential refers to the potential difference between electrode and its salt solution in which it is dipped) it should come-voltmeter measures...
  42. E

    How Do You Calculate Current in Lamps with Different Wattages?

    A 60W lamp and a 120W lamp each have a potential difference of 120V across their terminals. a) What is the current through each lamp? I think you use the formula I = P/V and so: Lamp #1 = I = 60/120 and Lamp #2 = I = 120/120 But I don't know if that is right? Thank you so much for the help!
  43. S

    Help to understand electrostatics fully

    Homework Statement My Physics course does not give an in-depth overview of electrostatics at all (it is rather shallow, focusing on electronics and circuit analysis). However, I find that I really need to understand it fully to form the basis for magnetism and generation. So... I have a few...
  44. julianwitkowski

    Finding Electric Potential Difference in a TV Tube

    Homework Statement In a TV tube, an electric potential difference accelerates electrons from a rest positive towards a screen. Just before striking the screen, the electrons have a wavelength of 1.0⋅10-10. Find the electric potential difference.Homework Equations [/B] Should I use these...
  45. H

    Potential difference and conductors

    Homework Statement I just need help understanding what establishes a positive charge on the top conductor in C1: http://imgur.com/fppHtMN My book says that first there is a positive potential difference, Vab Homework EquationsThe Attempt at a Solution So since Vab is positive, a is at a...
  46. N

    Understand pH Meter Functioning: An Electric Potential Difference

    Hello! I have a question concerning the functioning of a pH meter. All the sources online that I can find either omit, I think, important information, or describe it in "technical terms" with equations. I would like to know what is happening at the level of the distribution and movement of...
  47. Y

    The current, Potential Difference, in a 3-cell circuit

    Homework Statement Check the Picture Homework EquationsThe Attempt at a Solution I've never dealt with a three-cell circuit before. For calculating the current, I tried doing Kirschoff's Voltage Law, all I kept getting was that I1 = negative I2. I tried taking the current as coming out of the...
  48. Dancing_Queen

    Total potential difference of an electron

    So this is the problem that I got on LonCapa: 1. An electron starts from rest 66.1 cm from a fixed point charge with Q=-0.120 μC. What total potential difference accelerates the electron from being very far away from Q? I understand the equation that I have to use, which is V=k*Q/R. I plugged...
  49. K

    Finding Potential Difference between two points

    Homework Statement Homework Equations V=IR (Voltage = Current x Resistance) Possibly Kirchoff's Loop Rule but I'm not really sure how to use it The Attempt at a Solution I looked at something else on line and ended up doing 9 - 0.7(3) - 6 - 2(3) which got me the right answer for the first...
  50. S

    Electric Potential Difference diagram

    Homework Statement Point charges q and Q are positioned as shown. If q= +1.0 nC, Q = -2.0 nC, a = 3.0m, and b = 4.0m, what is the electric potential difference, Va - Vb? **The question with the diagram is also attached ** Homework Equations V = ke (q/r) The Attempt at a Solution V =...
Back
Top