Question

3.) Suppose you moved a charge of +1.0 C from point A (on a 10V equipotential line) to point B (also on a 10V equipotential line). (a) How much would its electric potential energy change? Explain. (b) How much would its electric potential change? Explain. (c) How (if at all) would the answers to the previous two questions cange if the charge had magnitude 2C? Explain 4.) Suppose you moved a charge of +3C from point A on a 10V equipotential line to point B on a 20V equipotential line. (a) How much would its electric potential change? Give a value and explain whether it increased or decreased. (b) How much would its electric potential energy change? Give a value and explain whether it increased or decreased. (c) How (if at all) would the answers to the previous two questions change if the charge had magnitude 2C? Explain..

Answer 1

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equal to 10 V. Thus OV VA - VB O c) There would be no change the to answers of the previous two if the questions magnitude 2c, Charge had the m Because Change in an equipotential potential energy line is always surface and this is independent magnitude of value of of the the charge. Zero Since Au is What also zero AV-0 , no matter of charge the is magnitude displaced equipotential

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s the clear the that It electric is potential increased because the final electric potential VR = 20 is greater than initial electric potential (VA= 10v.) thies is positive 20 V. .) OV and b ) We Know , that the change in electric potential energy of an object with charge & crossing electric potential is ou = LAV Ų (VB - VA) ano ov Here 4V. 10V & + 3c Therefore Change in in electric

potential is : energy 3810 J OU 30 J in electric potential So Change is energy 30 J. In 4.(a) We electric mentioned potential that the the electric increased. is energy is potential increases. Therefore potential energy The initial is Smatter (tva) final Since than smaller e energy (LVB) potential VB > VA

c) the magnitude of If Charge would is 2 C be no in ov iie. the electric potential unaffected by magnitude then there change in change remains the Change of charge. of is change 2.0 If A to point from point moved. 'B' in electric change the ན av potential (20-10) = 10v. similar to the is Which 3C charge. case of But the value of change used. 2 C would if au Charge is

the charge If had then change energy 2c potential magnitude in electric cus ä av J 2 x 10 = = 20 J. charge, 2c So case in of in electric potential 20 J the change is energy