al potential energy and lectric potential 2. Electrical potential energy +conserv=noncon +(-4PE)=4KE ∴W W=-(PE-PE=-APE Edr 4兀Eor; (PE-PE) 4 The electrical potential f charge q PE qe 1 4 s 17.1 Electrical potential energy and electric potential 3. The electric potential and electric potent difference Divided the equation by the charge q PE PE E·dr= 478 q Define PE The electric potential v q The electric potential v at a point in an ric field is the potential per unit charge at that point the potential energy of q PEoa=qI2 ) ( ) 1 1 ( 4 ) 1 1 ( 4 d 0 0 f i f i f i i f PE PE r r qQ r r qQ W q E r = − − = − − = ⋅ = − ∫ πε πε r r ∴ Wconserv = W = −(PEf − PEi) = −∆PE Q Wnoncon +Wconserv = Wnoncon + (−∆PE) = ∆KE 2. Electrical potential energy The electrical potential energy of charge q r qQ PE 1 4πε 0 = §17.1 Electrical potential energy and electric potential Divided the equation by the charge q ) ( ) 1 1 ( 4 d 0 f i q PE q PE r r Q E r i f f i ⋅ = − − = − − ∫ πε r r 3. The electric potential and electric potential difference The electric potential V at a point in an electric field is the potential energy per unit charge at that point. The electric potential q PE V of q = Define: the potential energy of q PEof q = qV §17.1 Electrical potential energy and electric potential