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Page 1 of 10 Electrostatics (Chapter 10) Study of charges at rest Benjamin Franklin 1700's Rubbed rods with silk or fur Two types of charge POSITIVE and NEGATIVE Like Charges repel Opposite charges attract 769837762 [email protected] 29/04/17 Page 2 of 10 Example Explain how positively charged rod can be used to give metal sphere a) negative charge? b) positive charge? c) How could positively charged rod simultaneously give one metal sphere positive charge and another metal sphere negative charge? 769837762 [email protected] 29/04/17 Page 3 of 10 Coulomb's Law Charles Coulomb 1736 to 1806 Charged spheres and measured force between them q1 q 2 F 4o r 2 F is force in Newton q1 and q2 is charge of object one and two measured in coulomb (C) r is distance between charges (m) o is permittivity of free space = 8.85x10-12Fm-1 (F is Farad which will be discussed later) 769837762 [email protected] 29/04/17 Page 4 of 10 Example In hydrogen atom electron separated from proton by distance 5.3x10-11m. Calculate magnitude of electrostatic force on electron. Electron is in circular orbit. How fast is it travelling? Permittivity of free space is 8.85x10-12Fm-1. Electron charge is -1.60x10-19C and mass 9.11x10-31kg. Proton charge is +1.60x10-19C. 769837762 [email protected] 29/04/17 Page 5 of 10 Electric Field Electric field is region of space where charge experiences electrostatic force Electric field strength E defined as force per charge E F q F is Electrostatic force (N) q is charge (C) E NC-1 769837762 [email protected] 29/04/17 Page 6 of 10 Example Calculate magnitude of electric field strength 1cm from an electron. Therefore what is force on a 5C charge placed 1cm from the electron? Charge of an electron is 1.60x10-19C. Permittivity of free space is 8.85x10-12Fm-1. 769837762 [email protected] 29/04/17 Page 7 of 10 Electric Potential Electric potential V is defined to be work done in bringing a unit positive charge from infinity to that point 1 Q V 4 o r Q is charge (C) r is distance in (m) o is permittivity = 8.85x10-12Fm-1 V is electric potential (V) 769837762 [email protected] 29/04/17 Page 8 of 10 Example What is the electric potential 1m from an electron of charge -1.60x10-19C? Permittivity is 8.85x10-12Fm-1. 769837762 [email protected] 29/04/17 Page 9 of 10 Potential Difference Difference in electric potential between two points V V2 V1 V1 electric potential at first point (V) V2 " " at second point (V) V potential difference (V) Electric field lines point in direction of decreasing potential (-ve potential difference) 769837762 [email protected] 29/04/17 Page 10 of 10 Example What is the potential difference due to moving from a point that is 1mm from an electron to a point that is 1cm from the electron? Electron has charge -1.60x10-19C. Permittivity is 8.85x10-12Fm-1. 769837762 [email protected] 29/04/17