The balls are allowed to touch then are separated ag Two identical +4 nC charges are separated by a distance of 21 mm. The electric potential at a distance of 4 m from a certain point charge is 200 V. What is the potential at a distance of 2 m from the same charge? Two charges are fixed in place with a separation d. One charge is positive and has nine times (n = 9) the magnitude of the other charge, which is negative. Determine the charge densities due to the following electric flux distributions: D = 8xy^{ax} + 4x^{2a}y c/m^2. In this case, the height of the ground surface and the gravitational potential energy right at the ground surface is set to zero. Potential is: a) Energy per charge. What are the charges on the spheres aft A rod has length L. The left half has a unifom charge +q and the right half has a uniform charge -q. On a line passing through the two charges, there are two places where the total potential is zero. 21 electric potential solutions cabrillo edu. Determine the potential A small particle has charge -5.00 muC and mass 2.00 x 10-4 kg. Suppose a helium atom is stripped of its electrons and accelerated to 2.00% of the speed of light. Certain sharks can detect an electric field as weak as 1.0 mu V/m. This listing has no open house scheduled yet. The equation of the V difference above is still general. Two point charges are on the y-axis. 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Find the electric potential at the origin. Through what potential difference must the electron pass to accomplish this? The par A proton with an initial speed of 800,000m/s is brought to rest by an electric field. Find the point at which the electrostatic potential is zero inside the triangle. All potentials are measured relative to infi A resistor consists of a solid cylinder of radius r and length L. The resistor has resistance R and is carrying a current I. Points A and B have electric potentials of 277 V and 129 V, respectively. The electric potential at the position x = 3 m, y = 5 m is -80 mV. Consider two charges Q_{1} = +6.50 nC and Q_{2} = -3.50 nC in the following diagram. Why? The potential in a region between x = 0 and x = 6.00 m is V = a + bx, where a = 13.0 V and b = -6.70 V/m. Three charges are at the vertices of an isosceles triangle. What are the points at which V(x) = 0? The sphere has a radius R of 0.360 m. a. A particle with a charge of +5.00 nC is in a uniform electric field directed to the left. Four point charges are positioned on the rim of a circle. Electric Field, Potential Energy, & Voltage Presentation. On the circle are charges of +2q, +2q, -q, and +q. Square Footage 3,621. -1.9 \times 10^4 V c.) + 1.0 \times 10^6 V d.) -5.2 \times 10^3 V. Three points charges are arranged at the corners of a square of side L as shown in the figure. (b) Large value. What is the charge 0.1 m away and 0.5 m away? 1 ESU of electric potential = 299.7925 volt. The charge will start to move: (A) in a direction of increasing electric potential. If you assume the potential at infinity is zero, then what is the potential midway between the two charges? Where should a third charge of +3.0 \mu C be placed on the x-axis so that the p Two positive point charges +4.00 muC and +2.00 muC are placed at the opposite corners of a 0.4 m by 0.8 m rectangle. How much work would be required to move a + 0.70 \muC test charge from a point midway between them to a point 10 cm close A +3.0 \muC charge is initially 0.20 m from a fixed -6.0 \muC charge and is then moved to a position 0.50 m from the fixed charge. Note that two +Q charges are placed on the y-axis at a distance above and below the x-axis. c. H A 31-cm-diameter conducting sphere is charged to 570 V relative to V = 0 at r = infinity. Electric potential, denoted by V (or occasionally ), is a scalar physical quantity that describes the potential energy of a unit electric charge in an electrostatic field. A nonconducting sphere of radius r2 contains a concentric spherical cavity of radius r1. Particle B is at x = -7d and has charge -3q. They have a special room to do their experiments. (See sketch.) Find the surface charge density ( ) on the sphere. Telescopes Atoms and Radioactivity Fission and Fusion Medical Tracers Nuclear Reactors Radiotherapy Random Nature of Radioactive Decay Thickness Monitoring Circular Motion and Gravitation Applications of Circular Motion Centripetal and Centrifugal Force Circular Motion and Free-Body Diagrams Fundamental Forces Gravitational and Electric Forces Consider two regions of space containing a static electric field, region A and region B. a. The potential at infinity is chosen to be zero. View Billing & Payments Support Accessibility Learn about closed captioning, voice guidance, and other features for users with disabilities.U-Haul says that their part-time remote sales and reservations agents have the potential to hear $14-$18 per hour on average. The electric potential in a region of uniform electric field is -200 V at x = -0.500 m and +1400 V at x = +1.70 m. What is Ex? The figure below shows a sphere of radius a filled with an insulator that has a uniform, constant charge density rho. b. All potentials are measured relative A nonconducting sphere has radius R = 2.50 cm and uniformly distributed charge q = +2.50 fC. Four point-like charges are placed as shown in the figure, a = 20.0 cm and b = 54.0 cm. (b) What is this in electron-volts? Create a free account to see answers. When a conservative force does negative work . Unit Symbol Measurement System Description; The international system unit of the EP is Joule and the international system unit of electrical charge is Coulomb so that the international system unit of V is Joule per Coulomb (J/C). The current through the 50.2 Ω resistor is 2.94 A. Browse through all study tools. Electric potential is defined as the electric potential energy per unit charge. What are the strength and direction of the electric field at (x, y) = (2 m, 1 m)? On the other hand, the international standard unit or SI unit of electric potential energy or "Ue" is Joule. At what Two point charges are located on the x-axis. 80 c. 90 d. 100. Find the electric potential of the two shells at the distance r = 10.0 cm from their center. (b) Find the resistivi What is the potential difference between x_i = +1.0 m and x_f = +3.0 m in the uniform electric field E_x =(-100 x + 200) V/m? (a) Find the total electric potential at the origin. Show that the amount of work required to assemble four identical point charges of magnitude Q at the corner of a square of edge length s is 5.41\frac{kQ^2}{s}. State and define its SI unit. Va, cannot be known because the most important is the change in electrical potential. Electric Potential Due To Uniform Field and Capacitors Reading Quiz v2. The dielectric constant is denoted by the greek letter '' (kappa). Or . A charge of +5\times10^{-6} C moves through a battery with a potential difference (voltage) of 1.5 volts. How much work was necessary to move the middle charge from infinity in A capacitor with capacitance 2.50 mu F is connected to a 6.25 V battery. 2. The potential on the surface of a spherical conductor of radius 3m is 6V. A 2.5 mC charge is on the y-axis at y = 3.0 and a 6.3 mC charge is on the x-axis at x = 3.0 m. What is the direction of the potential at the origin? If the electric potential at a point in space is zero, then the electric field at that point must also be zero. Let v_x, v_y and v_z be their voltages with respect to the ground. What is the excess charge on a conducting sphere of radius r = 0.23 m, if the potential of the sphere is 1550 V and V = 0 at infinity? Voltage is not the same as energy. a. The electric potential (also called the electric field potential, potential drop, the electrostatic potential) is defined as the amount of work energy needed to move a unit of electric charge from a reference point to the specific point in an electric field. Suppose that the negative terminal of a 1.5 V cell is designated as ground. Slide 1Electric Potential Energy & Electric Potential Unit 8 Slide 2 Recall Work from earlier Work done by a force is given by: - W = F d cos( ) or +W: Force is in The first place is betwee An electron is to be accelerated from a velocity of 1.00 x 106 m/s to a velocity of 8.00 x 106 m/s. Find the electric potential at the midpoint of one of t A charge of +2.4 \times 10^{-5} C is fixed at each corner of a rectangle that is 30.0 cm wide and 40.0 cm long as shown in the diagram below. The material between r1 and r2 carries a uniform charge density \rho E(C/m^3). It means that electric potential is measured in relation to some reference point and that we can only measure the difference in potential between two points, similar to potential energy. What is the value of R assuming the data were plotted in MKS units? In a voltaic cell, at which electrode does reduction occur? Where should a third charge of +3.0 muC be placed on the +x-axis so that the poten Two point charges of +2.0 \mu C and -6.0 \mu C are located on the x-axis at x = -1.0 cm and x = +2.0 cm respectively. Find: i) the charge on the surface of this sphere. The potential is zero at a point at infinity. Find the scalar potential \phi for a stationary charge with charge Q=2nC. (a) Find the expressions for the x, y, z components of the electric field over this region. B. V is the electric potential measured by volts (V). If the surface charge density on the positive plate of the capacitor is 25 \; nC/cm^2, what is the distance between the plates of the cap A particle with a charge of -1.8 \mu C and a mass of 1.2 \times 10^{-6} kg is released from rest at point A and accelerates toward point B, arriving there with a speed of 21 m/s. Calculating Kinetic and Potential Energy (FIRST ANSWER SHOULD BE 36 NOT 144) MrDGenova 27K views 8 years ago Calculating Electric Potential (V) and Electric Potential Energy (Ue) Redmond. (a) What is the resistance of the wire? Electric Potential Energy. Positive charge is distributed uniformly throughout a large insulating cylinder of radius = 0.700m . Based on the equation, the electric field is proportional to the V and inversely proportional to distance. What is the electrical potential a An electrically charged object creates an electric field. Part A Calculate the x component of the electric field. Educators apply here to access accessments. Determine the potential that a proton produces at a point that is 10 to the power negative 10 m away. Sign up with Apple. The electric potential: a) is the same at all points of a charged conductor b) is the same at all points of a charged insulator c) is minus the gradient of the electric field d) A and C e) B and C. The electric potential immediately outside a charged conducting sphere is 190 V, and 10.0 cm farther from the center of the sphere the potential is 140 V. (a) Determine the radius of the sphere. point charges. A positive charge +q1 is located to left of negative charge -q2. The densities of copper and A proton is placed midway between point A and B. The above electrical potential difference equation can be written again as follow: If the charge q passes through the electric potential difference Vab, the potential energy changes by EP. Find the speeds that would be attained by (a) an electron; (b) a proton. Using Fig. In the figure, a dust particle with mass m=5.0 \times10^{-9} \ kg and charge q_0=2.0 \ nC starts from rest and moves in a straight line from point a to point b. Particle A is at x = +d and has charge +q. Sign up with email. What is the surface charge density. There is a potential of 55 V between two parallel large plates separated by a distance of 12 mm. What is the difference between electric potential and electric potential energy? The drawing shows three arrangements of charged particles, all the same distance from the origin. Our customers are our valued partners. Suppose a 12 V car battery is used as a source of energy to accelerate particles. The electric potential due to a point charge is, thus, a case we need to consider. The V changes when charge q moves from one point to another. Electric potential is a scalar; electric potential energy is a vector. Three charges are situated at the corners of a square (side a), as shown below. The directions of both the displacement and the applied force in the system in Figure 7.3 are parallel, and thus the work done on the system is positive.. We use the letter U to denote electric potential energy, which has units of joules (J). When an electron moves from low potential to high potential, is its potential energy increase and why? Determine the radius r of the following equipotenti 1 PV is how many V? Find the electric potential energy of For a point charge of 3 Coulombs, what is the radius of the equipotential surface that is at a potential of 2.50 kV? What is the Two point charges are on the y-axis. The V at a point such as V at point a, i.e. Units of charge: Nanocoulomb, Microcoulomb, Coulomb. 2 charges each of q = +2 microcoulomb are placed at the vertices Q and R of the triangle. Find the work done by the electric field force when the charge q_3 is moved to infinity. Three point loads are placed at the corners of a square of side l as shown in the figure. Suppose the charge q moves from point a to point b then the change in the V is: Vab is an V difference between two points in an electric field, for example points a and b. Location A is 2.70 m to the right of a point charge q. 0.806 g of silver is deposited in half an hour in silver voltameter. Because the electr Four equal charges, q = +\frac{10}{3} \times 10^{-7}\ C are placed at each of the four corners of a square of side 8\ cm. 22 degrees b. Find the electric potential energy of the entire system of charges. Determine the electric potential at point A on the ring-axis from d distance from ring center? Calculate the amount of work needed to move a proton from the equipotential line of -4 V to the equipotential line of -2 V? abvolt to statvolt. Potential energy is related to the ability to do work so that if the changes in the electric potential energy are significant, then the ability to do work is also significant. Calculate the current density. The potential at location A is 419 V. A positively charged particle is released there from rest and arrives at location B with a speed vB. (a) Find the total electric potential at the origin. The potential difference unit is the Volt, and the unit of distance is the meter so that the electric field can be stated in units of Volt per meter (V/m). Find the charge density sigma on each plate. A point charge 30C is placed at the origin of coordinates. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. b. it is moving from low potential to high p A positive charge +q_1 is located to the left of a negative charge -q_2. (a) What is the radius of the drop? Find the potential at point a. The potential at a distance of r = 6.0 cm from the center of the shell is measured to be 1.5kV. i. A net charge q is placed on the conducting shell. The figure below shows three fixed particles lying along the x axis and y axis with charges q1 = 15.0 nC, q2 = +10.0 nC, and q3 = minus 20.0 nC, respectively. The Earth is 150 million km from the sun. Why is sparking potential of a neon lamp greater than extinguishing potential? The values of the potentials are in volts. (Hint: Assume you bring in each proton, one at a time, from an infinite distanc A high voltage transmission line with a resistance of 0.31 ohm/km carries a current of 1000 A. The potential at point A is -20 V and the potential at Point B +20 V. The potential at midpoint is 0 V. The proton will A) remain at rest B) move A potential difference of 4.00 V will be applied to a 41.00 m length of 18-gauge iron wire (diameter = 0.0400 inches). V/m. A point charge with charge Q is fixed at the origin. Units of Chapter 17 Electric Potential Energy and Potential Difference Relation between Electric Potential and Electric, Ch19 Electric Potential Energy and Electric Potential, Chapter 23 Electric Potential And Electric Potential Energy, Chapter 29. b. A charged metal sphere of radius R = 10 cm has a net charge of 5.0 x 10^-8 C. Assuming V_r = 0 at infinity, calculate the electric potential at r = 5 cm from the center of the sphere (inside the sp A charged metal sphere of radius R = 10 cm has a net charge of 5.0 x 10^-8 C. Assuming V_r = 0 at infinity, calculate the electric potential on the surface of the sphere. Teacher Login Required. Find an expression for the electric potential at the center of the triangle. As a proton moves in the direction the electric field lines: a. it is moving from low potential to high potential and gaining electric potential energy. Charge q2 is located at the origin. c) Charge per mol. b. Let q= +3 C. How much work is done by you in moving this charge 4.2 m in the negative x-direction? What is the spatial rate of change of an electric potential function? -y c. xy d. x e. y. Net Electric Field Quiz v1. In a science fiction story, a microscopic black hole is given an enormous positive charge by firing an un-neutralized ion drive exhaust (consisting of positively charged xenon ions) into it for six A charge of +2.0 mC is located at x = 0, y = 0 and a charge of -4.0mC is located at x = 0, y = 3.0m. If the potential due to a point charge is 5.00 x 102 V at a distance of 15.0 m, what are the sign and magnitude of the charge? Electric potential is also a measure of how much electric potential energy is associated with a specific quantity of charge at a particular location in an electric field. The radius r2 at A2 is larger th A 9 V battery supplies a current of 0.25 A to the bulb of a torch. (a) Calculate the electric potentials V_A and V_B they produce at points A (35, 0) cm a (a) Calculate the potential difference between points a and b in the figure and (b) identify which point is at the higher potential. b. If the mass of both weights is 150 gm, the first mass is located 40 north of east, the second mass is located 40 south of east, and the transducer sensitivity is 0.5 volts/Newton, how large a volta Point charges +4.3 C and -2.2 C are placed on the x-axis at (10m, 0) and (-10 m, 0), respectively. What is the electric potential due to these charges at a poin A conducting hollow sphere of radius 0.2 m has a charge of 20 \mu C. What is the potential of the sphere at distance r from the center if: a. r = 0.1 m, b. r = 0.2 m and c. r = 0.3 m. The potential at location A is 441 V. A positively charged particle is released there from rest and arrives at location B with a speed v_B. At what distance from its surface, electric potential is half of that of at its centre? How to Convert EMU Of Electric Potential to Volt. Get help with your Electric potential homework. Three concentric metallic shells A,B,C given with radius 1R, 2R,3R respectively. At what point on the line joining the two charges is the electric potential zero? Find the point to the left of the negative charge where the electric potential vanishes. Point A is midway between them; point B is 0.080 m from q_1 and 0.060 m from q_2. Which is true? This equation can be used to determine the electric (homogeneous) field known as the potential difference between two points and the distance between the two points. This potential energy per unit charge is called electric potential (or simply "potential"). If the potential of the small and big spheres are w and v respectively, find v/w. So the electric potential energy unit is volt which is equal to joule per coulomb, or V is equal to J/C. A distribution of electric charge produces at point P an electric potential of 3 kV relative to zero potential at infinity. What is the charge on the particle if the plates are connected to a 6.0 V battery? A charge of 0.000002 C is taken from infinity to a point in an electric field. Let q_1 = +1.50 mu C, q_2 = -2.70 mu C, q Four point charges, each with Q = 5.9 C, are arranged at the corners of a square of edge length 1.8 m. What is the electric potential at the center of the square? What is the lambda linear charge density along the arc? What is the electric field strength? At a distance r from a point charge, the electric potential is 2400 V and the magnitude of the electric field is 2.0 x 10^5 V/m. Jamir Summers 2022-11-27 Answered. The powerdensity on the Earth's atmosphe Copper and aluminum are being considered for a high-voltage transmission line that must carry a current of 80.0 A. Part (a) The particle is a proton. The two charges in the figure below are separated by d = 1.50 cm. Find the electric potential at the origin (0, 0). SI Unit: Joule or J (1 J = 1 kg m 2 /s 2) Cgs Unit: erg (10 7 erg = 1 J) Dimensions: [M L 2 T-2] When was Potential Energy Discovered. What is the magnitude of the electrical potential at the origin? where we have defined positive to be pointing away from the origin and r is the distance from the origin. As shown below, the appropriate unit on charge is the Coulomb (C) and the appropriate unit on distance is meters (m). Without changing its speed if work done by the electric force is 0.00004 J, determine the potential at the specified p Two spherical conductors B and C having equal radii and carrying equal charges with them repel each other with a force F when kept at a small distance apart. The potential at infinity is chosen to be zero. (Let q_1 = -18 \ nC and q_2 = 27.5 \ nC.) Does electric potential increase in a closed circuit? What electrical potential energy delta U would an electron have at the positive terminal? Can't find the question you're looking for? PROGRESSIVE SCIENCE INITIATIVE (PSI) Resources Download All. A point charge of 6.0 \muC is located at the origin of a coordinate system and a second point charge of -12.0 \muC is at x=2.0 m. At what point in the x-axis is the electrical potential zero? The electric field E is a vector quantity while the V is a scalar quantity. The magnitude of the electric field is Use the following values for mass and charge: an electron has mass me = 9.11 times 10-31 kg and charge -e, a proton has mass mp = 1.67 times 10-27 kg and charge +e, an alpha particle has mass malph A horizontal half-plate at zero potential has its edge parallel to and at a distance c from an infinite vertical plane at potential pi/2. One Volt is equivalent to one Joule per Coulomb. We and our partners use cookies to Store and/or access information on a device.We and our partners use data for Personalised ads and content, ad and content measurement, audience insights and product development.An example of data being processed may be a unique identifier stored in a cookie. What is q? 168 degrees c. 292 degrees d. 3 A -1.0 nC point charge is located at the origin, and a +3.0 nC point charge is located at x = 1.0 m. Find a point on the x-axis, (excluding infinity) where the electric potential is zero. a) Plot a figure describing the question. The figure shows a rectangular array of charged particles fixed in place, with distance a = 33.7 cm and the charges are shown as integer multiples of q_1 = 3.32 pC and q_2 = 7.25 pC. It acquires a velocity of 200 km/s after moving through a potential difference of 210 V. Determine the mass of the p A parallel plate capacitor is connected to a 150 V battery. Answer: {Blank} V (b) What is the electric potential to this charge at (-2.5 m,0 A particle carries a positive charge numerically equal to the electronic charge. On the corner of the square are point charges of +q, +q, -q, and +q. Electric Potential Total electrical potential energy divided by the charge Electric potential = Electric potential, Electric Potential Energy & Electric Potential Unit 8. A charge of -2.280 mu C is located at (2.740 m, 4.422 m), and a charge of 1.890 mu C is located at (-2.650 m, 0). (Enter A 2.30mm-diameter glass bead is positively charged. An electron is at the origin. Location B lies on the same line and is 4.10 m to the right of the charge. Then, you should find an expression for the electrical potential on the x-axis at a distance x from the o IP Point charges +4.7 muC and -2.4 muC are placed on the x-axis at (17 m, 0) and (-17 m, 0), respectively. Electric Potential and Capacitors Unit. Va = Ua/q It is defined as the amount of work energy needed to move a unit of electric charge from a reference point to a specific point in an electric field. How are they related to one another? Nov. 19, 2019, 7:19 p.m. D. force per charge. If you put one probe of a voltmeter at the surface, how far from the surface must the othe A total charge Q=-4.1 mu C is distributed uniformly over a quarter circle arc of radius a=7.1 cm. How much excess charge must be placed on a copper sphere 25.0 cm in diameter so that the potential of its centre, relative to infinity, is 3.75 kV? Va = Ua/q It is defined as the amount of work energy needed to move a unit of electric charge from a reference point to a specific point in an electric field. (a) Determine the potential at x = 0. abvolt to watt per ampere. Because the unit of the electric potential difference is Volt, the electric potential difference between two points is usually referred to as voltage. a) What is the potential Two point charges, +3.60 mu C and -6.10 mu C, are separated by 1.30 m. What is the electric potential midway between them? One electron volt is the potential energy change of moving one electron's worth of charge, e, through one volt. A silver and copper voltameter is connected in series with a 12 V battery of negligible internal resistance. a. What is the surface charge density? It's own electric charge. A point charge q creates an electric potential of +148 v at a distance of 29 cm. This average includes the base pay plus the bonus that is outlined next. Suppose that when it is at point a, the charge q has the electric potential energy equal to EPa, then the electric potential at point a is formulated as follows: V = electric potential, EP = electric potential energy, q = electric charge Results are shown in the tables below. Ensure you show the potentials at 1 m, 2 m and 6 m from the point charges. How are units of volts and electron volts related? What charge must be located at (2.23 m, -3.01 m) if the electric potential is to b An electron and a proton are each placed at rest in an electric field of 363 \ N/C. (a) Compute its energy in electronvolts. At what point(s) along Two resistors, 58.7 Ω and 50.2 Ω, are connected in parallel. When an object is moved against the electric field, it gains some amount of energy which is defined as the electric potential energy. Three positive charges of 2 C each are located at (-2, 0), (2, 0), and (0, 2). A conducting sphere contains a positive charge distributed uniformly over its surface. The potential in a region between x = 0.00 and x = 6.00 m is V = a + bx, where a = 12.0 V and b = -1.00 V/m. Imagine 2 long parallel equipotential surfaces (lines in 2D) that differ by 4 volts. Teacher Login Required. Use the Poynting vector to calculate the power radiated out of the surfa Two point charges are on the y-axis. The two charges, Q and 2Q, are separated by a distance d = 2.50 cm, and Q = +3.70 nC. The external work done per unit charge is equal to the change in potential of a point charge. Find the force on it, its acceleration, and the time it takes to travel 20mm from rest (electron mass,m =9.110 31 kg). At greater distances there are additional equipotential surfaces. b) Find the magnitude a Let x, y, and z be three points in an electric circuit. When you connect an unknown resistor across the terminals of a 1.50 V AAA battery having negligible internal resistance, you measure a current of 18.0 mA flowing through it. In a plant that is actively transpiring, is the water potential of the plant more or less negative than the water potential of the soil solution? More precisely, it is the energy per unit charge for a test charge that is so small . a. International System of Units (SI) base unit for electric potential: kilovolts: kV: International System of Units (SI) 1,000 V = 1 kV: Power Units. If the potential is given by V = xy - 3z-2, then the electric field has an x-component of: a. How is the amount of charge affected by doubling the voltage of a battery? A) 1.0 x 10 -18 B) 1.0 x 10 18 C) 1.0 x 10 12 D) 1.0 x 10 -12 E) 1.0 x 10 -15. A ring of radius R has charge Q. A hydrogen atom consists of a single electron orbiting some distance away from a single proton. What is the m A bare helium nucleus has two positive charges and a mass of 6.64\times10^{-27} kg. Determine the point on the y axis where the electric potential cancels out. A charge -2q is at 4.60 m on the x-axis. Which statements about the potential due to this sphere are true? Electric Potential Energy Formula The electric potential energy per unit charge is known as electric potential. If q = 4. Two-point charges are placed on the x-axis. What is 1 volt in its base units? Determine the potential at x = 3.00 m. Determine Two point charges are on the y-axis. Show work in A point particle has a charge equal to +2.30 C and is fixed at the origin. The consent submitted will only be used for data processing originating from this website. Charges of +4.10 nC and -1.0 nC are located at opposite corners, A and C, respectively, of a square which is p = 4.10 m on aside. Two particles each with charge +2.68, C are located on the x-axis. In a certain region of space, the electric potential is V(x,y,z) = Axy - Bx^2 + Cy, where A, B, and C are positive constants. Thus a motorcycle battery and a car battery can both have the same voltage (more precisely, the same potential difference between battery terminals), yet one stores much more energy than the other since PE = qV.The car battery can move more charge than the motorcycle battery, although both are 12 V batteries. The relationship between work, force and displacement are expressed through the equation below: If the two equations above are put together then the new equation is generated as below: E = electric field, Vab = the electric potential difference between two points such as points a and b, d = distance between two points. 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