voltage due to point charge

Charges in static electricity are typically in the nanocoulomb (nC) to microcoulomb ( C) range. What happens if you score more than 99 points in volleyball? Douglas College Physics 1207 by OpenStax is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted. WebThe electric potential V of a point charge is given by 2.38 V = kQ r (Point Charge). The center is (. (a) What is the potential between two points situated 10 cm and 20 cm from a 3.0 C point charge? How far from a 1.00 C point charge will the potential be 100 V? 1 C Q 1 V 1 = V 2 = V 1 + V 1 = -14, 000 V C 38 cm 85 cm Q 2 +1. Electric potential is a scalar, and electric field is a vector. Thus we can find the voltage using the equation V = kQ/r . Suppose, a motorcycle battery and a car battery have the same voltage. r = 6. What is the potential or voltage due to a single point charge? k Q r 2. Want to create or adapt OER like this? WebVoltage or Potential is a measure of the electric potential energy between two points. Share. Electric potential of a point charge is [latex]V=\frac{kQ}{r}\\[/latex] . This problem has stumped me for a week now. If charge A is -14. Okay, but that is not relevant. What is its energy in MeV at this distance? It is, rather, the field strength that exists at a location in space (due to something generating the field), regardless of whether a charge occupies that location. 0 C charges. r q 1 q 2 Its simple, just the definite integral of The work is: kq q. dr kq 1 q 2 r 1 2 r 2 From infinity to r TOC, Voltage due to Point Sources Definition: V = Ep q Ep = W = Fs, q 1 r The voltage at point A is: V = kq r V = voltage at A distance r q = charge of q 1 r = distance from q 1 A van de Graaff generator has an 18 cm radius dome, and a charge of 0. What are the sign and magnitude of a point charge that produces a potential of 2.00 V at a distance of 1.00 mm? What is the voltage at the surface of the dome? 1314 V All four: 1356136. V = kq/r, V = 10, 000 V, q = 1. Explain point charges and express the equation for electric potential of a point charge. (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? (b) What charge must a 0.100-mg drop of paint have to arrive at the object with a speed of 10.0 m/s? Conversely, a negative charge would be repelled, as expected. We can thus determine the excess charge using the equation [latex]V=\frac{kQ}{r}\\[/latex]. This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here! 5 C Q 1 75 cm 190 cm +3. (The radius of the sphere is 12.5 cm.) Answer to Solved does the voltage due to a point charge vary directly var s=iw[ce]('script');s.async='async';s.defer='defer';s.charset='utf-8';s.src=wp+"//jsc.mgid.com/t/a/tailieuvan.vn.264917.js?t="+D.getYear()+D.getMonth()+D.getUTCDate()+D.getUTCHours();c[ac](s);})(); (function(){ If you haven't already, you can check out our policy by clicking the "Rules" link at the top of this page, and then scroll down to the section titled. Electric potential is a scalar, and electric field is a vector. V = kq/r = (8. The potential at infinity is chosen to be zero. 452+. 90426 = -14, 000 V W, Each grid is a meter. 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? (b) At what distance from its center is the potential 1.00 MV? WebSection Summary. At what distance will it be 2.00 10. Furthermore, spherical charge distributions (like on a metal sphere) create external electric fields exactly like a point charge. 6 x 104 V And The Sum Is TOC, Whiteboards: Voltage charge arrays 1|2|3 TOC, Find the voltage at point B +1. Cite. m2/C2. 1 x 10 -6) = + 1. Explain. I have some notions that come from this page: For example, the potential at point B due to charge q1 alone would be. The electric potential V of a point charge is given by 2.38 V = kQ r (Point Charge). Distinguish between electric potential and electric field. That would be useful here. Current - the var D=new Date(),d=document,b='body',ce='createElement',ac='appendChild',st='style',ds='display',n='none',gi='getElementById',lp=d.location.protocol,wp=lp.indexOf('http')==0?lp:'https:'; 8: A research Van de Graaff generator has a 2.00-m-diameter metal sphere with a charge of 5.00 mC on it. [latex]E = \frac{F}{q} = \frac{kQ}{r^2}[/latex], [latex] V = k \frac{Q}{r} = (8.99 \times 10^9 \: N \cdot m^2 / C^2) ( \frac{-3.00 \times 10^{9} \: C} {5.00 \times 10^{2} \: m} ) = -539 \: V . Charges in static electricity are typically in the nanocoulomb (nC) to microcoulomb (C) range. var s=iw[ce]('script');s.async='async';s.defer='defer';s.charset='utf-8';s.src=wp+"//jsc.mgid.com/t/a/tailieuvan.vn.243064.js?t="+D.getYear()+D.getMonth()+D.getUTCDate()+D.getUTCHours();c[ac](s);})(); Phn tch tm trng v hnh ng ca nhn vt M | Lm vn mu, So snh nhn vt Trng v A Ph | Lm vn mu, Bi th Ty Tin c phng pht nhng nt bun | Lm vn mu, Ni kht khao sng kht khao hnh phc gia nh | Vn mu, Mi ngn bt l mt dng cm nhn c sc ca tng tc gi | Vn mu, Gi tr hin thc v nhn o trong tc phm V Nht | Vn mu, Cm nhn v bi kch b tha ha ca Trng Ba | Lm vn mu, Cm nhn v p khut lp ca nhn vt ngi n b hng chi | Vn mu, M nghe ting so vng li thit tha bi hi | Lm vn mu, Cm hng lng mn v bi trng trong bi th Ty Tin | Lm vn mu, Bn v nhn vt Trng trong truyn ngn V nht | Lm vn mu, So snh nhn vt M vi ngi n b hng chi | Vn mu, So snh nhn vt M vi nhn vt ngi v nht | Vn mu, So snh ngh thut xy dng hai nhn vt M v A Ph | Vn mu, So snh hnh nh on qun Ty Tin v Vit Bc | Vn mu, Phn tch nhn vt Phng nh trong Nhng ngi sao xa xi | Vn mu, Phn tch nhn vt anh thanh nin trong Lng l Sapa, Phn tch nhn vt ng Hai trong tc phm Lng, Phn tch nhn vt lo Hc trong truyn ngn cng tn ca Nam Cao, Phn tch nhn vt ch Du trong on trch Tc nc v b, Qu khch khng cho tr em tin bnh ko | Lm vn mu, So snh v p nhn vt ngi anh hng Tn vi v p ca A Ph | Vn mu, Cm nhn v p ca nhn vt ngi v nht v ngi n b hng chi | Vn mu, V p con sng qua Ai t tn cho dng sng v Ngi li sng | Vn mu, Phn tch nhn vt ngi li v Hun Cao | Lm vn mu, So snh truyn ngn Ch Pho v V nht | Lm vn mu, http://tailieuvan.vn/essays-on-being-yourself. How do I put three reasons together in a sentence. 6: 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? 3. To find the total electric field, you must add the individual fields as vectors, taking magnitude and direction into account. What is the potential near its surface? What is the voltage at this point? If the potential due to a point charge is5.00 10, In nuclear fission, a nucleus splits roughly in half. As we have discussed in Electric Charge and Electric Field, charge on a metal sphere spreads out uniformly and produces a field like that of a point charge located at its centre. Voltage is the measure of specific potential energy (potential energy per unit charge) between two locations. In laymans terms, it is the measure of push available to motivate the charge. Voltage, as an expression of potential energy, is always relative between two locations, or points. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. 88889 41 k. V 10, 000 V/in, +q and q, sheet of rubber TOC, Whiteboards: Voltage due to point charge 1|2|3 TOC, Lauren Order is 3. Charge carriers can be motivated to flow through a conductor by the same force manifested in static electricity. Voltage is the measure of specific potential energy (potential energy per unit charge) between two locations. In laymans terms, it is the measure of push available to motivate the charge. The electric potential V of a point charge is given by, [latex]\displaystyle{V}=\frac{kQ}{r}\\[/latex] (Point Charge). Preface to College Physics by Open Stax the basis for this textbook, Introduction to Open Textbooks at Douglas College, 1.3 Accuracy, Precision, and Significant Figures, 1.5 Introduction to Measurement, Uncertainty and Precision, 1.6 Expressing Numbers Scientific Notation (originally from Open Stax College Chemisty 1st Canadian Edition), 1.9 More units Temperatures and Density, 1.11 Additional Exercises in conversions and scientific notation, 2.6 Maxwells Equations: Electromagnetic Waves Predicted and Observed, 2.10 (optional) How to make a digital TV Antenna for under $10, 3.5 Multiple Slit Diffraction (Diffraction Gratings), 3.7 Limits of Resolution: The Rayleigh Criterion, 5.1 Physics of the Eye and the Lens Equation, 6.1 Static Electricity and Charge: Conservation of Charge, 6.4 Electric Field: Concept of a Field Revisited, 6.5 Electric Field Lines: Multiple Charges, 6.7 Conductors and Electric Fields in Static Equilibrium, 6.8 Applications of Electrostatics electrons are quantized Milliken Oil Drop, 7.1 Electric Potential Energy: Potential Difference, 7.2 Electric Potential in a Uniform Electric Field, 7.3 Electrical Potential Due to a Point Charge, 8.3 Magnetic Fields and Magnetic Field Lines, 8.4 Magnetic Field Strength: Force on a Moving Charge in a Magnetic Field, 8.5 Force on a Moving Charge in a Magnetic Field: Examples and Applications Mass Spectrometers, 8.7 Magnetic Force on a Current-Carrying Conductor, 8.8 Torque on a Current Loop: Motors and Meters, 9.1 Magnetic Fields Produced by Currents: Amperes Law, 9.2 Magnetic Force between Two Parallel Conductors, 9.3 More Applications of Magnetism Mass spectrometry and MRI, 10.2 Faradays Law of Induction: Lenzs Law, 10.7 Electrical Safety: Systems and Devices, 11.2 Ohms Law: Resistance and Simple Circuits, 11.8 Alternating Current versus Direct Current, 11.10 Nerve ConductionElectrocardiograms, 11.11 DC Circuits Containing Resistors and Capacitors, 12.2 Thermal Expansion of Solids and Liquids, 12.4 Temperature Change and Heat Capacity, 12.6 Heat Transfer Methods Conduction, Convection and Radiation Introduction, 12.8 What Is a Fluid? Ground potential is often taken to be zero (instead of taking the potential at infinity to be zero). Thus V for a point charge decreases with distance, whereas E for a point charge decreases with distance squared 2.39 E = F q = kQ r2. If not, why? C charge. Thus V for a point charge decreases with distance, whereas E for a point charge decreases with distance squared: E = F q = kQ r2 E = F q = k Q r 2. Why is the eastern United States green if the wind moves from west to east? Electric potential of a point charge is V=kQ/r V = k Q / r . Conceptual Questions It is faster than the speed of light. 27 x 104 V r (. 97 x 1024 kg A van de Graaff generator has an 18 cm radius dome, and a charge of 0. 752+. Thus V for a point charge decreases with distance, whereas E for a point charge decreases with distance squared: [latex]\displaystyle{E}=\frac{F}{q}=\frac{kQ}{r^2}\\[/latex]. Khi c tc p[]. WebThe electric potential with respect to electric potential energy per unit charge is formulated as, V = \frac { { {\ {PE}}}} {q} V = q P E. The electric potential at a given location will tell us What difference it makes that the zero reference is not an infinity (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. It's important to remember that electric potential (voltage) is NOT potential energy. A demonstration Van de Graaff generator has a 25.0 cm diameter metal sphere that produces a voltage of 100 kV near its surface. Clarification on electric potential energy, Dilemma in Theory of Superposition of Electric potential. 68421 -13563. Expert Answer. This is consistent with the fact thatV is closely associated with energy, a scalar, whereasE is closely associated with force, a vector. Electric potential (expressed as voltage) is a measure of the work required to move a unit of electric charge from some reference point to a specific point within an electric field, without producing an acceleration. We have derived the potential for a line of charge of length 2a in Electric Potential Of A Line Of Charge. Solids, Liquids and Gase, 12.14 The First Law of Thermodynamics and Some Simple Processes, 12.15 Introduction to the Second Law of Thermodynamics: Heat Engines and Their Efficiency, 13.7 Anti-matter Particles, Patterns, and Conservation Laws, 13.8 Accelerators Create Matter from Energy, 15.0 Introduction to Medical Applications of Nuclear Physics, 16.2 Discovery of the Parts of the Atom: Electrons and Nuclei Millikan Oil Drop Experiment and Rutherford Scattering, 16.3 Bohrs Theory of the Hydrogen Atom Atomic Spectral Lines, 16.4 The Wave Nature of Matter Causes Quantization. I have some notions that come from this page: BTW, I received a warning/infraction but I'm not an undergrad student. This is a relatively small charge, but it produces a rather large voltage. WebElectric potential of a point charge is V = k q/ r. Electric potential is a scalar, and electric field is a vector. var i=d[ce]('iframe');i[st][ds]=n;d[gi]("M331907ScriptRootC243064")[ac](i);try{var iw=i.contentWindow.document;iw.open();iw.writeln("");iw.close();var c=iw[b];} 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. 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. If now the Step 1: Determine the distance of charge 1 to the point at which the electric potential is being calculated. Thus Vfor a point charge decreases with distance, whereas Efor a point charge decreases with distance squared: Recall that the electric potentialV is a scalar and has no direction, whereas the electric field Eis a vector. The voltages in both of these examples could be measured with a meter that compares the measured potential with ground potential. Electric Potential Energy: Potential Difference, http://cnx.org/contents/031da8d3-b525-429c-80cf-6c8ed997733a/College_Physics. 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. 1 C Q 2 Voltage is not a vector!!!!!! 99 E 9)(0. 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. (See Figure 1.) If V=0 at M(0,0,5), find V at N(1,2,3). catch(e){var iw=d;var c=d[gi]("M331907ScriptRootC264917");}var dv=iw[ce]('div');dv.id="MG_ID";dv[st][ds]=n;dv.innerHTML=264917;c[ac](dv); 46775 = 25, 000 V W, Find the voltage at point C -4. 2. @yuvrajsingh The error has been corrected since my comment. Electric potential (expressed as voltage) is a measure of the work required to move a unit of electric charge from some reference point to a specific point within an electric field, without producing an acceleration. (b) What charge must a 0.100-mg drop of paint have to arrive at the object with a speed of 10.0 m/s? However, I do not understand how to find expressions for the electric field intensity or how to adjust the calculations if the zero reference potential is not at infinity. WebTo find the voltage due to a combination of point charges, you add the individual voltages as numbers. Determine the electric potential of a point charge given charge and distance. What excess charge resides on the sphere? How to make voltage plus/minus signs bolder? Potential Due to a Point Charge The battery is used in many devices like a torch, laptop, clock, bike, etc. rev2022.12.11.43106. The formula for evaluating potential due to point charge is as follows: V=140.Qr V=9 109 x 10 x 10-12/0.5 V=9 109 x 2 x 10-11 V=1810-11 Answer: The potential of a charge of 10pC at a distance of 0.5 m due to the charge is 1810-11. bi: Phn tch tm trng v hnh ng ca nhn vt M trong m cu A Ph 525 V = 1. But since there is a space behind charges I suppose the computation a little different? (c) An oxygen atom with three missing electrons is released near the Van de Graaff generator. (a) What is the potential near its surface? var D=new Date(),d=document,b='body',ce='createElement',ac='appendChild',st='style',ds='display',n='none',gi='getElementById',lp=d.location.protocol,wp=lp.indexOf('http')==0?lp:'https:'; Distinguish between electric potential and electric field. What is the charge on the dome? It would make sense if they do, but then point "C" would be the same as point "B" in your first figure. Appendix C Useful Information: Important constants, Metric Prefixes, SI Units, Useful Formulae, etc. Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. Can the potential of a non-uniformly charged sphere be the same as that of a point charge? [/latex], Chapter 1 The Nature of Science and Physics, Chapter 6 Electric Charge and Electric Field, Chapter 7 Electric Potential and Electric Field, Chapter 9 Magnetic field Produced By Moving Electric Charges, Chapter 10 Electromagnetic Induction, AC Circuits, and Electrical Technologies, Chapter 11 Electric Current, Resistance, and Ohms Law, Chapter 12 Temperature, Kinetic Theory, and the Gas Laws, Chapter 14 Radioactivity and Nuclear Physics, Electric Potential Energy: Potential Difference, Creative Commons Attribution 4.0 International License. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. (a) 2.96 109 m/s;(b) This velocity is far too great. A research Van de Graaff generator has a 2.00-m-diameter metal sphere with a charge of 5.00 mC on it. Improve this answer. 38 x 106 m, m = 5. (b) To what location should the point at 20 cm be moved to increase this potential difference by a factor of two? Bi lm (a) 1.80 km;(b) A charge of 1 C is a very large amount of charge; a sphere of radius 1.80 km is not practical. Using calculus to find the work needed to move a test chargeq from a large distance away to a distance ofr from a point charge Q, and noting the connection between work and potentialWork = W = q V , it can be shown that the electric potentialVa point charge is, where k is a constant equal to 8.99 x 109 N m2/C2, The electric potential Vof a point charge is given by. 36 x 104 V r (. The symbol for electric charge quantity is the capital letter Q, with the unit of coulombs abbreviated by 83 C. It means the same potential difference between the terminals of the battery. 19.3 Electrical Potential Due to a Point Charge College 58847 +26023. Conclusion Potential energy is the energy stored in an object when the object is at rest. 1. Any textbook-style problem, even if it's for your own independent study, is subject to our "homework help" rules. The best answers are voted up and rise to the top, Not the answer you're looking for? V = 40 ln( a2 + r2 +a a2 + r2a) V = 4 0 ln ( a 2 + r 2 + a a 2 + r 2 a) We shall use the expression above and observe what happens as a goes to infinity. 5 x 10 -6) = 1. MOSFET is getting very hot at high frequency PWM. How much the electricity wants to move from one point to another. 12. Debian/Ubuntu - Is there a man page listing all the version codenames/numbers? A demonstration Van de Graaff generator has a 25.0 cm diameter metal sphere that produces a voltage of 100 kV near its surface. In the United States, must state courts follow rulings by federal courts of appeals? This link explains why infinity is chosen as the zero for a point charge: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elepe.html#c3, This link (and its hyplerlink to Coulomb's constant) should illustrate and explain the concept fully: http://hyperphysics.phy-astr.gsu.edu/hbase/electric/potpoi.html. (see https://en.wikipedia.org/wiki/Electric_potential). See the attached file. Let a uniform surface charge density of 5 nc/m2 be present at the z=0 plane, a uniform line charge density of 8 nc/m, be located at x=0, z=4 and a point charge of 2 C be present at P(2,0,0). It seems to me that I need to find the electric field intensity for each of the charge configurations (the surface charge, the line charge, and the point charge), add the components (changing between coordinate systems where necessary), and then compute the integral. catch(e){var iw=d;var c=d[gi]("M331907ScriptRootC243064");}var dv=iw[ce]('div');dv.id="MG_ID";dv[st][ds]=n;dv.innerHTML=243064;c[ac](dv); To find the voltage due to a combination of point charges, you add the individual voltages as numbers. [/latex], [latex] Q = \frac{rV}{k} = \frac {(0.125 \: m) (100 \times 10^3 \: V)} {8.99 \times 10^9 \: {N} \cdot {m}^2 / {C}^2} = 1.39 \times 10^{-6} \: C = 1.39 \: \mu C . 2022 Physics Forums, All Rights Reserved, http://hyperphysics.phy-astr.gsu.edu/hbase/electric/potpoi.html, http://hyperphysics.phy-astr.gsu.edu/hbase/electric/mulpoi.html#c1, Electric field due to three point charges, Electric field strength at a point due to 3 charges, Two black holes moving in a circular orbit around a point, Calculating the point where potential V = 0 (due to 2 charges), Point charges placed inside a charged sphere, Sketch the Electric Field at point "A" due to the two point charges, The potential electric and vector potential of a moving charge, Problem with two pulleys and three masses, Newton's Laws of motion -- Bicyclist pedaling up a slope, A cylinder with cross-section area A floats with its long axis vertical, Hydrostatic pressure at a point inside a water tank that is accelerating, Forces on a rope when catching a free falling weight. The electric potential due to a point charge is, thus, a case we need to consider. Explain point charges and express the equation for electric potential of a point charge. It only takes a minute to sign up. Suppose that a positive charge is placed at a point. The charge placed at that point will exert a force due to the presence of an electric field. The electric potential at any point at a distance r from the positive charge +q + q is shown as: 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. Thus V for a point charge decreases with If at M(0,0,5), find V at N(1,2,3). There would have to be some type of conductor joining A and B for there to be a current. Confused about voltage due to a point charge [duplicate], Electric potential - different definitions, https://en.wikipedia.org/wiki/Electric_potential, http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elepe.html#c3, http://hyperphysics.phy-astr.gsu.edu/hbase/electric/potpoi.html, Help us identify new roles for community members. WebElectric Potential due to a Point Charge Electrical Systems Electricity Ammeter Attraction and Repulsion Basics of Electricity Batteries Circuit Symbols Circuits Current-Voltage 1: A 0.500 cm diameter plastic sphere, used in a static electricity demonstration, has a uniformly distributed 40.0 pC charge on its surface. We can thus determine the excess charge using the equation, Solving for Qand entering known values gives. Entering known values into the expression for the potential of a point charge, we obtain. Figure 1. The voltage of this demonstration Van de Graaff generator is measured between the charged sphere and ground. 452)/2 from all of the charges one charges V = 339034. 3: (a) 1.80 km (b) A charge of 1 C is a very large amount of charge; a sphere of radius 1.80 km is not practical. WebDetermine the electric potential of a point charge given charge and distance. Electric potential is a scalar, and electric field is a vector. In one of the classic nuclear physics experiments at the beginning of the 20th century, an alpha particle was accelerated toward a gold nucleus, and its path was substantially deflected by the Coulomb interaction. This difference in charge between the two points is called voltage. V = kq/r, r =. V = kq/r, r = 3. It is faster than the speed of light;(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. When talking about potential difference in a circuit, whose work done are we talking about? (b) What is unreasonable about this result? Electric Potential due to a Point Charge Electrical Systems Electricity Ammeter Attraction and Repulsion Basics of Electricity Batteries Circuit Symbols Circuits Current-Voltage Characteristics Electric Current Electric Motor Electrical Power Electricity Generation Emf and Internal Resistance Kirchhoff's Junction Rule Kirchhoff's Loop Rule Electric potential of a point charge is V = kQ/r V = k Q / r. Electric potential is a scalar, and electric field is a vector. (b) What is the potential energy in MeV of a similarly charged fragment at this distance? If you'd like to continue with working on the problem, I am willing to help. 38 x 106 m, m = 5. Electric potential of a point charge is V = kQ / r V = kQ / r size 12{V= ital "kQ"/r} {}. Explain. Learn how BCcampus supports open education and how you can access Pressbooks. We have another indication here that it is difficult to store isolated charges. Solving for Q and entering known values gives, [latex]\begin{array}{lll}Q&=&\frac{rV}{k}\\\text{ }&=&\frac{\left(0.125\text{ m}\right)\left(100\times10^{3}\text{ V}\right)}{8.99\times10^9\text{ N}\cdot\text{m}^2\text{/C}^2}\\\text{ }&=&1.39\times10^{-6}\text{ C}=1.39\mu\text{C}\end{array}\\[/latex]. 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