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Lecture 5

# Lecture 5 - Energy EnergyandPotential potential...

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ergy and Potential Energy and Potential

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otential energy potential energy = b e W dl F = b a Q dl E a
s ρ = 4 y o 2 u E ε y o 2 u ε ( ) 0 b a W = Δ y ( ) c b W Δ 4 c y y Q u E Δ = a b 4 = x 4 0 ρ s = 4 [ ] 1 3 2 Q o ε

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Potential V B AB AB A B VV V ≡− AB W V 12 A = E dl Q B Q is a test charge just like when understanding electric fields B is the reference location
Potential of a point charge Q b 2 4 r o r πε = E u a Q 2 4 a ab r r b o Q Vd r r =− uu 11 ab Q V a ⎡⎤ ⎢⎥ 4 o ba ⎣⎦

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potential electric field V ompute Δ x V 3 x compute Δ V 2 ± pposite increasing potential V 1 Opposite increasing potential ± Normal to equipotential ntours/lines V = contours/lines E x ⇒= V −∇ = E
Capacitance of hollow sphere a Q a Q C = Q a 4 ε π = V Q ε π a 4

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Capacitance of parallel plates A Δ Q C A S Δ ρ = t V Et A S ρ Δ ρ = A Δ ε = t S ε t
2 o E d v ε = 2 e v WE Δ t V A 2 o V t A ⎛⎞ ( ) 2 e Wt t = ⎜⎟ ⎝⎠ 2 1 o A V 2 1 V 2 e WV t = 2 CV =

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For N charges 1 N tal i i W QV = 1 2 total i = r a istributed charge density

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Lecture 5 - Energy EnergyandPotential potential...

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