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BASIC EQUATIONS CHAPTER 16 ELECTRIC POTENTIAL EQUATION VARIABLES V PE q PE q V SI UNITS net electric potential in space at the location of charge q electric potential energy of charge q an electric charge in an electric field (q is not the source of the field) V PE q J/C or Volts, V J C electric potential energy of charge q an electric charge in an electric field net electric potential in space at the location of charge q PE q V J C V DPE change in electric potential energy of charge q q an electric charge in an electric field DV change in net electric potential between two points in an electric field DPE J q C DV V V V k Q r k Q r electric potential at a point in space from a point charge or spherical charge distribution electrostatic constant = 9.0×109 Nm2/C2 point charge or spherical charge distance point is from center of Q V Nm2/C2 C m VP net electric potential at point P VP,qi electric potential at P due to charge qi VP V VP,qi V DV change in electric potential in a uniform electric field the magnitude of a uniform electric field displacement along an x-axis oriented in the direction of the electric field DV E Dx V N/C or V/m m change in electric potential in an electric field produced by a point or spherical charge electrostatic constant = 9.0×109 Nm2/C2 point or spherical charge producing the field final distance from center of Q initial distance from center of Q DV k Q rB rA V Nm2/C2 C m m E Dx DV k Q rB rA DKE change in kinetic energy of charge q while moving in an electric field q moving electric charge DV change in electric potential as the charge moves DKE J q C DV V C Q V C Q V capacitance of two conductors charge separated on conductors electric potential difference between conductors C/V or Farad, F C V EQUATION VARIABLES SI UNITS C 0o A d capacitance of a parallel plate capacitor permittivity of free space = 8.85×10-12 C2/Nm2 inside area of one plate distance between plates C 0o A d F C2/Nm2 m2 m U C V Q stored energy in a capacitor (also denoted as PE) capacitance voltage across capacitor charge separated in capacitor U C V Q J F V C Ceq equivalent capacitance of a group of capacitors connected in parallel capacitance of individual capacitor in original parallel group charge stored in equivalent capacitor charge stored in individual capacitor in original parallel group Ceq Ci Qeq Qi F F C C equivalent capacitance of a group of capacitors connected in series capacitance of individual capacitor in original series group voltage across equivalent capacitor voltage across individual capacitor in original series group Ceq Ci Veq Vi F F V V capacitance with a dielectric material dielectric constant of dielectric material capacitance without dielectric material C k Co F none F Ci Qeq Qi Ceq Ci Veq Vi C k Co