This is a relatively small charge, but it produces a rather large voltage. Consider a point charge as shown in the figure below. Electric forces are experienced by charged bodies when they come under the influence of an electric field. Ground potential is often taken to be zero (instead of taking the potential at infinity to be zero). Ground potential is often taken to be zero (instead of taking the potential at infinity to be zero). We know that the potential of a point is the amount of work done to bring a unit charge from infinity to a certain point. 10.6 Collisions of Extended Bodies in Two Dimensions, 73. Therefore, work done W=q*V=4*10 -3 *200J=0.8J. 6.4 Fictitious Forces and Non-inertial Frames: The Coriolis Force, 39. The electric potential may be defined as the amount of work done in moving a unit positive charge from infinity to that point against the electrostatic forces. Conversely, a negative charge would be repelled, as expected. Match. citation tool such as, Authors: Paul Peter Urone, Roger Hinrichs. (ii) Potential, due to an electric dipole (length 2a) varies as the inverse square' of the distance of the 'field point' from the centre of the dipole for r > a. . Electric potential at a point in space. Furthermore, spherical charge distributions (like on a metal sphere) create external electric fields exactly like a point charge. nC 24.1 Maxwells Equations: Electromagnetic Waves Predicted and Observed, 194. Thus we can find the voltage using the equation [latex]{V = kQ/r}[/latex] . The charge placed at that point will exert a force due to the presence of an electric field. 6: If the potential due to a point charge is[latex]{5.00 \times 10^2 \;\text{V}}[/latex]at a distance of 15.0 m, what are the sign and magnitude of the charge? 6.1 Rotation Angle and Angular Velocity, 38. and you must attribute OpenStax. Using calculus to find the work needed to move a test charge [latex]{q}[/latex] from a large distance away to a distance of [latex]{r}[/latex] from a point charge [latex]{Q}[/latex], and noting the connection between work and potential [latex]{(W = -q \Delta V)}[/latex], it can be shown that the electric potential [latex]{V}[/latex] of a point charge is, where k is a constant equal to [latex]{9.0 \times 10^9 \;\textbf{N} \cdot \text{m}^2 / \text{C}^2 . To find the voltage due to a combination of point charges, you add the individual voltages as numbers. Step 1: Determine the net charge on the point charge and the distance from the charge at which the potential is being evaluated. Distinguish between electric potential and electric field. Definition. 14.2 Temperature Change and Heat Capacity, 108. m 18.7 Conductors and Electric Fields in Static Equilibrium, 145. Explain. The potential is the same. Electric potential of a point charge is V = k q/ r Electric potential is a scalar, and electric field is a vector. The potential at infinity is chosen to be zero. The electric potential at a point in an electric field is the amount of work done moving a unit positive charge from infinity to that point along any path when the electrostatic forces are applied. Electrostatic potential energy of charge 'q' at a point is the work done by the external force in bringing the charge 'q' from infinity to that point. 15.6 Entropy and the Second Law of Thermodynamics: Disorder and the Unavailability of Energy, 114. It is the potential difference between two points that is of importance, and very often there is a tacit assumption that some reference point, such as Earth or a very distant point, is at zero potential. (b) At what distance from its center is the potential 1.00 MV? We have derived the potential for a line of charge of length 2a in Electric Potential Of A Line Of Charge. What is its energy in MeV at this distance? Answers and Replies May 15, 2005 #2 Andrew Mason. The above formulation will be modified to come up with this new definition. Notice that in the figure, there are some concentric circles. Thus VV for a point charge decreases with distance, whereas EE for a point charge decreases with distance squared: Recall that the electric potential VV is a scalar and has no direction, whereas the electric field EE is a vector. 31.4 Nuclear Decay and Conservation Laws, 257. Kinetic by OpenStax offers access to innovative study tools designed to help you maximize your learning potential. Charges in static electricity are typically in the nanocoulomb nCnC to microcoulomb CC range. Furthermore, spherical charge distributions (like on a metal sphere) create external electric fields exactly like a point charge. The potential of the charged conducting sphere is the same as that of an equal point charge at its center. 23.2 Faradays Law of Induction: Lenzs Law, 183. Potential due to uniform sphere shows that for a uniform distribution of mass or charge, the potentials outside and inside the sphere are given by V ( r > a) = a r V 0 V ( r a) = 3 a 2 r 2 2 a 2 V 0 where V 0 is the potential at the surface ( r = a). Electric Potential Question 1: Due to a point charge of 4 10-7 C, . ), The potential on the surface will be the same as that of a point charge at the center of the sphere, 12.5 cm away. 22.2 Ferromagnets and Electromagnets, 170. 8: A research Van de Graaff generator has a 2.00-m-diameter metal sphere with a charge of 5.00 mC on it. Explain point charges and express the equation for electric potential of a point charge. 32.1 Medical Imaging and Diagnostics, 258. m2/C2. We can thus determine the excess charge using the equation, Solving for QQ and entering known values gives. Entering known values into the expression for the potential of a point charge, we obtain. What excess charge resides on the sphere? For example, in a system containing charges Q1, Q2, and Q3 at a distance of r1, r2, and r3 from a point. 20.7 Nerve ConductionElectrocardiograms, 161. Explain point charges and express the equation for electric potential of a point charge. Since there are two charges in the system, the total potential will be given by the superposition equation. As noted in Electric Potential Energy: Potential Difference, this is analogous to taking sea level as h=0h=0 when considering gravitational potential energy, PEg=mghPEg=mgh. The potential of the charged conducting sphere is the same as that of an equal point charge at its center. [/latex], [latex]\begin{array}{r @{{}={}} l} \boldsymbol{V} & \boldsymbol{k \frac{Q}{r}} \\[1em] & \boldsymbol{(8.99 \times 10^9 \;\textbf{N} \cdot \textbf{m}^2 / \textbf{C}^2)(\frac{-3.00 \times 10^{9} \;\textbf{C}}{5.00 \times 10^{2} \;\textbf{m}})} \\[1em] & \boldsymbol{-539 \;\textbf{V}}. 1: In what region of space is the potential due to a uniformly charged sphere the same as that of a point charge? 24.2 Production of Electromagnetic Waves, 196. If the energy of the doubly charged alpha nucleus was 5.00 MeV, how close to the gold nucleus (79 protons) could it come before being deflected? The voltages in both of these examples could be measured with a meter that compares the measured potential with ground potential. Question 4: Find the potential energy at a distance of 2 m due to a charge of 10pC and -2pC. Recall that the electric potential . We can thus determine the excess charge using the equation, Solving for (c) An oxygen atom with three missing electrons is released near the Van de Graaff generator. Using calculus to find the work needed to move a test charge q from a large distance away to a distance of r from a point charge Q, and noting the connection between work and potential (W = - q V), it can be shown that the electric potential V of a point . Is denoted by V. In a similar situation as described in the previous section. 16.5 Energy and the Simple Harmonic Oscillator, 121. Q: Dust particle with mass of 0.050 gram and a charge of 2.0 x 10^-6 C is in a region of space where. (b) What does your answer imply about the practical aspect of isolating such a large charge? Example 5.4: Electric potential due to point charges. The potential of the charged conducting sphere is the same as that of an equal point charge at its center. If a second charge (-2pC) was the same . The electric potential due to a point charge is, thus, a case we need to consider. 34.2 General Relativity and Quantum Gravity, 277. Question: Suppose that three point charges, , , and , are arranged at the vertices of a right-angled triangle, as shown in the diagram. What is its energy in MeV at this distance? Determine the electric potential of a point charge given charge and distance. To check the difference in the electric potential between two positions under the influence of an electric field, it is asked, how much the potential energy of a unit positive charge will change if that charge is moved from this position to the other position. At what distance will it be [latex]\boldsymbol{2.00 \times 10^2 \;\textbf{V}}[/latex]? Chapter 1 The Nature of Science and Physics, Chapter 4 Dynamics: Force and Newtons Laws of Motion, Chapter 5 Further Applications of Newtons Laws: Friction, Drag and Elasticity, Chapter 6 Uniform Circular Motion and Gravitation, Chapter 7 Work, Energy, and Energy Resources, Chapter 10 Rotational Motion and Angular Momentum, Chapter 12 Fluid Dynamics and Its Biological and Medical Applications, Chapter 13 Temperature, Kinetic Theory, and the Gas Laws, Chapter 14 Heat and Heat Transfer Methods, Chapter 18 Electric Charge and Electric Field, Chapter 20 Electric Current, Resistance, and Ohms Law, Chapter 23 Electromagnetic Induction, AC Circuits, and Electrical Technologies, Chapter 26 Vision and Optical Instruments, Chapter 29 Introduction to Quantum Physics, Chapter 31 Radioactivity and Nuclear Physics, Chapter 32 Medical Applications of Nuclear Physics, [latex]{V =}[/latex] [latex]{\frac{kQ}{r}}[/latex] [latex]{( \text{Point Charge} ),}[/latex], [latex]{E =}[/latex] [latex]{\frac{F}{q}}[/latex] [latex]{=}[/latex] [latex]{\frac{kQ}{r^2}}. The electric potential at a point is equal to the electric potential energy (measured in joules) of any charged particle at that location divided by the charge (measured in coulombs) of the particle. (The radius of the sphere is 12.5 cm.) And we could put a parenthesis around this so it doesn't look so awkward. (c) The assumption that the speed of the electron is far less than that of light and that the problem does not require a relativistic treatment produces an answer greater than the speed of light. The negative value for voltage means a positive charge would be attracted from a larger distance, since the potential is lower (more negative) than at larger distances. Science Advisor. The work function W for a given surface is defined by the difference =, where e is the charge of an electron, is the electrostatic potential in the vacuum nearby the surface, and E F is the Fermi level (electrochemical potential of electrons) inside the material. k Q r 2. Question 3: Find the potential energy at a distance of 0.5 m due to a charge of 10pC and -10pC. 30.7 Patterns in Spectra Reveal More Quantization, 250. Entering known values into the expression for the potential of a point charge, we obtain. The electric potential VV of a point charge is given by. If you are redistributing all or part of this book in a print format, 2.8 Graphical Analysis of One-Dimensional Motion, 16. The field is the sum of electrical fields created by each of the charges separately, so the potential is the sum of the potentials created by each of the charges separately, so you don't need to integrate anything, just use the expression for potential in the field of one point charge. Creative Commons Attribution License 18.1 Static Electricity and Charge: Conservation of Charge, 139. The electric field at that point is Medium View solution > Three charges q,Q and q are placed at equal distances on a straight line. 4.4 Newtons Third Law of Motion: Symmetry in Forces, 26. The goal is to calculate the electric potential due to this point charge between two points A and B. V= 4 01 rq. Addition of voltages as numbers gives the voltage due to a combination of point charges, whereas addition of individual fields as vectors gives the total electric field. (b) What is unreasonable about this result? The electric potential due to a point charge is, thus, a case we need to consider. size 12{V= ital "kQ"/r} {}, Entering known values into the expression for the potential of a point charge, we obtain. Learn. (a) What is the final speed of an electron accelerated from rest through a voltage of 25.0 MV by a negatively charged Van de Graaff terminal? (Assume that each numerical value here is shown with three significant figures. We will notice that the equation of electric potential at the centre of the ring is the same as the electric potential due to a point charge.. To understand the reason behind is, you can imagine that circular ring is nothing but will behave like a charge if we compare it to heavy bodies such as moon or earth. (a) What is the potential near its surface? 1.3 Accuracy, Precision, and Significant Figures, 8. a) Some positive value 18.4 Electric Field: Concept of a Field Revisited, 140. 31.2 Radiation Detection and Detectors, 252. It is the potential difference between two points that is of importance, and very often there is a tacit assumption that some reference point, such as Earth or a very distant point, is at zero potential. 11.6 Gauge Pressure, Absolute Pressure, and Pressure Measurement, 82. If we draw a sphere of radius r surrounding the + q charge. Share on Whatsapp Thus the potential at the centre is 3 2 V 0. We recommend using a 4: How far from a [latex]\boldsymbol{1.00 \mu \textbf{C}}[/latex] point charge will the potential be 100 V? The voltages in both of these examples could be measured with a meter that compares the measured potential with ground potential. Download Solution PDF. }[/latex], The electric potential [latex]\boldsymbol{V}[/latex] of a point charge is given by. 6.5 Newtons Universal Law of Gravitation, 40. The potential due to an electric dipole important points falls as 1/r 2 and the potential due to a single point charge falls as 1/ r. The potential due to the dipole r falls is much more than a monopole (point charge). 28.4 Relativistic Addition of Velocities, 232. (easy) Is the magnitude of the electric potential caused by point charges an absolute or a relative value. So we'll have 2250 joules per coulomb plus 9000 joules per coulomb plus negative 6000 joules per coulomb. Recall that the electric potential . 30.3 Bohrs Theory of the Hydrogen Atom, 242. Test. are licensed under a, Electrical Potential Due to a Point Charge, Introduction: The Nature of Science and Physics, Introduction to Science and the Realm of Physics, Physical Quantities, and Units, Accuracy, Precision, and Significant Figures, Introduction to One-Dimensional Kinematics, Motion Equations for Constant Acceleration in One Dimension, Problem-Solving Basics for One-Dimensional Kinematics, Graphical Analysis of One-Dimensional Motion, Introduction to Two-Dimensional Kinematics, Kinematics in Two Dimensions: An Introduction, Vector Addition and Subtraction: Graphical Methods, Vector Addition and Subtraction: Analytical Methods, Dynamics: Force and Newton's Laws of Motion, Introduction to Dynamics: Newtons Laws of Motion, Newtons Second Law of Motion: Concept of a System, Newtons Third Law of Motion: Symmetry in Forces, Normal, Tension, and Other Examples of Forces, Further Applications of Newtons Laws of Motion, Extended Topic: The Four Basic ForcesAn Introduction, Further Applications of Newton's Laws: Friction, Drag, and Elasticity, Introduction: Further Applications of Newtons Laws, Introduction to Uniform Circular Motion and Gravitation, Fictitious Forces and Non-inertial Frames: The Coriolis Force, Satellites and Keplers Laws: An Argument for Simplicity, Introduction to Work, Energy, and Energy Resources, Kinetic Energy and the Work-Energy Theorem, Introduction to Linear Momentum and Collisions, Collisions of Point Masses in Two Dimensions, Applications of Statics, Including Problem-Solving Strategies, Introduction to Rotational Motion and Angular Momentum, Dynamics of Rotational Motion: Rotational Inertia, Rotational Kinetic Energy: Work and Energy Revisited, Collisions of Extended Bodies in Two Dimensions, Gyroscopic Effects: Vector Aspects of Angular Momentum, Variation of Pressure with Depth in a Fluid, Gauge Pressure, Absolute Pressure, and Pressure Measurement, Cohesion and Adhesion in Liquids: Surface Tension and Capillary Action, Fluid Dynamics and Its Biological and Medical Applications, Introduction to Fluid Dynamics and Its Biological and Medical Applications, The Most General Applications of Bernoullis Equation, Viscosity and Laminar Flow; Poiseuilles Law, Molecular Transport Phenomena: Diffusion, Osmosis, and Related Processes, Temperature, Kinetic Theory, and the Gas Laws, Introduction to Temperature, Kinetic Theory, and the Gas Laws, Kinetic Theory: Atomic and Molecular Explanation of Pressure and Temperature, Introduction to Heat and Heat Transfer Methods, The First Law of Thermodynamics and Some Simple Processes, Introduction to the Second Law of Thermodynamics: Heat Engines and Their Efficiency, Carnots Perfect Heat Engine: The Second Law of Thermodynamics Restated, Applications of Thermodynamics: Heat Pumps and Refrigerators, Entropy and the Second Law of Thermodynamics: Disorder and the Unavailability of Energy, Statistical Interpretation of Entropy and the Second Law of Thermodynamics: The Underlying Explanation, Introduction to Oscillatory Motion and Waves, Hookes Law: Stress and Strain Revisited, Simple Harmonic Motion: A Special Periodic Motion, Energy and the Simple Harmonic Oscillator, Uniform Circular Motion and Simple Harmonic Motion, Speed of Sound, Frequency, and Wavelength, Sound Interference and Resonance: Standing Waves in Air Columns, Introduction to Electric Charge and Electric Field, Static Electricity and Charge: Conservation of Charge, Electric Field: Concept of a Field Revisited, Conductors and Electric Fields in Static Equilibrium, Introduction to Electric Potential and Electric Energy, Electric Potential Energy: Potential Difference, Electric Potential in a Uniform Electric Field, Electric Current, Resistance, and Ohm's Law, Introduction to Electric Current, Resistance, and Ohm's Law, Ohms Law: Resistance and Simple Circuits, Alternating Current versus Direct Current, Introduction to Circuits and DC Instruments, DC Circuits Containing Resistors and Capacitors, Magnetic Field Strength: Force on a Moving Charge in a Magnetic Field, Force on a Moving Charge in a Magnetic Field: Examples and Applications, Magnetic Force on a Current-Carrying Conductor, Torque on a Current Loop: Motors and Meters, Magnetic Fields Produced by Currents: Amperes Law, Magnetic Force between Two Parallel Conductors, Electromagnetic Induction, AC Circuits, and Electrical Technologies, Introduction to Electromagnetic Induction, AC Circuits and Electrical Technologies, Faradays Law of Induction: Lenzs Law, Maxwells Equations: Electromagnetic Waves Predicted and Observed, Introduction to Vision and Optical Instruments, Limits of Resolution: The Rayleigh Criterion, *Extended Topic* Microscopy Enhanced by the Wave Characteristics of Light, Photon Energies and the Electromagnetic Spectrum, Probability: The Heisenberg Uncertainty Principle, Discovery of the Parts of the Atom: Electrons and Nuclei, Applications of Atomic Excitations and De-Excitations, The Wave Nature of Matter Causes Quantization, Patterns in Spectra Reveal More Quantization, Introduction to Radioactivity and Nuclear Physics, Introduction to Applications of Nuclear Physics, The Yukawa Particle and the Heisenberg Uncertainty Principle Revisited, Particles, Patterns, and Conservation Laws. 15.3 Introduction to the Second Law of Thermodynamics: Heat Engines and Their Efficiency, 111. Electric potential of a point charge is V=\frac {kQ} {r}\\ V = rkQ . 17.3 Sound Intensity and Sound Level, 132. The potential at infinity is chosen to be zero. To find the total electric field, you must add the individual fields as vectors, taking magnitude and direction into account. College Physics by OpenStax is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted. We have another indication here that it is difficult to store isolated charges. One of the points in the circuit can be always designated as the zero potential point. Electric potential energy is the energy that is required to move a charge against an electric field. 3. Conversely, a negative charge would be repelled, as expected. That means, that at all the points in a single contour. If the second charge was closer to the point of interest would the total potential be positive of negative? (See Figure 19.7.) 4. Earths potential is taken to be zero as a reference. 12.4 Viscosity and Laminar Flow; Poiseuilles Law, 90. The electric potential VV size 12{V} {} of a point charge is given by, The potential at infinity is chosen to be zero. 10.4 Rotational Kinetic Energy: Work and Energy Revisited, 71. then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a digital format, Electric potential is the work done in moving a unit charge from infinity to a point in an electric field. Now lets understand the potential due to a point charge in formal terms. We have another indication here that it is difficult to store isolated charges. 32.3 Therapeutic Uses of Ionizing Radiation, 265. Electrical Potential Due to a Point Charge. Means it did not emmits any electromagnetic radiation. Thus VV size 12{V} {} for a point charge decreases with distance, whereas EE size 12{E} {} for a point charge decreases with distance squared. Ground potential is often taken to be zero (instead of taking the potential at infinity to be zero). Electric Potential Formula Method 1: The electric potential at any point around a point charge q is given by: V = k [q/r] Where, V = electric potential energy q = point charge r = distance between any point around the charge to the point charge k = Coulomb constant; k = 9.0 10 9 N Method 2: Using Coulomb's Law Charges in static electricity are typically in the nanocoulomb (nC) to microcoulomb [latex]{( \mu \text{C})}[/latex] range. To find the total electric field, you must add the individual fields as vectors, taking magnitude and direction into account. We can thus determine the excess charge using the equation, Solving for [latex]\boldsymbol{Q}[/latex] and entering known values gives. We can thus determine the excess charge using the equation V = V = kQ r. k Q r. 29.8 The Particle-Wave Duality Reviewed, 240. Electric potential is when charges exerts electric force on each other in the system and if we change the position of one or more charges then they will do some work so when we calculate the work done per unit charge is nothing but the electric potential. These forces depend on the direction of the electric field and the charge placed in that field. Then, the potential at this point will be given by the following equation. (See Figure 1.) Electric potential of a point charge is [latex]\boldsymbol{V = kQ/r}[/latex]. Here, q1 = 1 pC = 10-12C, q2 = -2 pC = -2 x 10-12C and r1 = 2m and r2 = 1m. School Guide: Roadmap For School Students, Data Structures & Algorithms- Self Paced Course, Electric Charge and Electric Field - Electric Flux, Coulomb's Law, Sample Problems, Electric Potential Due to System of Charges, Difference Between Electric Potential and Potential Difference, Electric Charge - Definition, History, Types and Properties, Electric Field due to Infinitely Long Straight Wire, Electric Field due to Uniformly Charged Infinite Plane Sheet and Thin Spherical Shell. 25.5 Dispersion: The Rainbow and Prisms, 213. 2: Can the potential of a non-uniformly charged sphere be the same as that of a point charge? Electric potential is defined as the difference in the potential energy per unit charge between two places. Electric Potential Energy: Potential Difference, 2.3 Electrical Potential Due to a Point Charge, Governor's Committee on People with Disabilities, Explain point charges and express the equation for electric potential of a point charge, Distinguish between electric potential and electric field, Determine the electric potential of a point charge given charge and distance. Thus we can find the voltage using the equation V=kQ/r.V=kQ/r. 7.2 Kinetic Energy and the Work-Energy Theorem, 45. Test. This is a relatively small charge, but it produces a rather large voltage. 9.4 Applications of Statics, Including Problem-Solving Strategies, 65. Except where otherwise noted, textbooks on this site 9.6 Forces and Torques in Muscles and Joints, 69. The electric field intensity at any point is the strength of the electric field at that point. 15.4 Carnots Perfect Heat Engine: The Second Law of Thermodynamics Restated, 112. Here, if force acting on this unit positive charge +q at a point r, then electric field intensity is given by: E ( r) = F ( r) q o The electric potential at a point in free space due to a charge Q coulomb is Q10 11V. (b) To what location should the point at 20 cm be moved to increase this potential difference by a factor of two? To find the total electric field, you must add the individual fields as vectors, taking magnitude and direction into account. In the figure given below, there is a huge plate that is negatively charged, and it has some positive charges stuck on it. Thus V for a point charge decreases with distance, whereas E for a point charge decreases with distance squared: (18.3.3) E = F q = k Q r 2. 7.8 Work, Energy, and Power in Humans, 55. 2 3.3 Vector Addition and Subtraction: Analytical Methods, 23. 5:[latex]\boldsymbol{-2.22 \times 10^{-13} \;\textbf{C}}[/latex], 7: (a) [latex]\boldsymbol{3.31 \times 10^6 \;\textbf{V}}[/latex], 9: (a) [latex]\boldsymbol{2.78 \times 10^{-7} \;\textbf{C}}[/latex], (b) [latex]\boldsymbol{2.00 \times 10^{-10} \;\textbf{C}}[/latex], 12: (a) [latex]\boldsymbol{2.96 \times 10^9 \;\textbf{m}/ \textbf{s}}[/latex]. OpenStax is part of Rice University, which is a 501(c)(3) nonprofit. The negative value for voltage means a positive charge would be attracted from a larger distance, since the potential is lower (more negative) than at larger distances. 10.5 Angular Momentum and Its Conservation, 72. 2.39 E = F q = kQ r2. Flashcards. 2.5 Motion Equations for Constant Acceleration in One Dimension, 12. The voltages in both of these examples could be measured with a meter that compares the measured potential with ground potential. Thus V V for a point charge decreases with distance, whereas E E for a point charge decreases with distance squared: E = E = F q F q = = kQ r2. This is a relatively small charge, but it produces a rather large voltage. \end{array}[/latex], [latex]\boldsymbol{V =}[/latex] [latex]\boldsymbol{\frac{kQ}{r}}. Here q1 = +4.00 C, [top left] Hence, the net electric potential at point B is .negative. negative. Physics questions and answers The electric potential due to a point charge approaches zero as you move farther away from the charge. where k is a constant equal to 9.0 10 9 N m 2 / C 2. For an isolated point charge:Potential at a distance r due to point charge +q. 9: An electrostatic paint sprayer has a 0.200-m-diameter metal sphere at a potential of 25.0 kV that repels paint droplets onto a grounded object. 20.2 Ohms Law: Resistance and Simple Circuits, 157. Electric potential difference is also called voltage, and it is measured in the units of Volts. Lets look at concepts of electrostatic potential and electrostatic potential energy in detail. A: Given: Mass = 0.050 gram or Charge q = 2.0 10-6 C Potential V (x) = 2.0 Vm2x2-3.0 Vm3 x3 x = 2.0 m. 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