7 gaussApplication

7 gaussApplication - Craig Ogilvie Where we stand Ways to...

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Unformatted text preview: Craig Ogilvie Where we stand § Ways to calculate E-field – Coulomb law, vector superposition – Or use symmetry to find field => Gauss law § From E, can calculate V, Craig Ogilvie 11 q generates E-field, V in all space 2nd q experiences force due to E-field, has potential energy due to V ∫ ∫ = ⋅ ε enclosed q A d E l d E V f i ∫ ⋅- = ∆ Craig Ogilvie Goals for today § Gain more experience with – Electrostatic potential V(x,y,z) – Gauss law to calculate E-field Craig Ogilvie 22 Craig Ogilvie 1. A 2. B 3. C 4. c Question: Field and potential: 1st round Craig Ogilvie 33 q Conducting spherical shell with charge q>0 What are correct E-field and potential graphs? a r E r V 1 ) E r V 2 ) E r V 3 ) E r V 4 ) 1 of 30 a a a a a a a a r r r Craig Ogilvie 1. A 2. B 3. C 4. c Question: Field and potential: 2nd round Craig Ogilvie 44 0% 0% 100% 0% 0% 0% 100% 0% 1 2 3 4 q Conducting spherical shell with charge q>0 What are correct E-field and potential graphs? a r E r V 1 ) E r V 2 ) E r V 3 ) E r V 4 ) Inside shell E=0, V=const 1 of 30 r r r a a a a a a a Craig Ogilvie Equipotentials along a conductor § E-field perpendicular to conductor + zero field in conductor § Prove V is the same everywhere on a conductor Craig Ogilvie 55 ∫ ⋅- = ∆ f i l d E V ∆ V from one part of surface to next Path along surface…....
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7 gaussApplication - Craig Ogilvie Where we stand Ways to...

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