EE140 formula sheet 2

# EE140 formula sheet 2 - Electrostatics Differential form E...

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Electrostatics Differential form Integral form v s Q EE d s ρ ε ∇⋅ = = GG v 00 C d ∇× = = A v Charge densities and distributions () lim ll l l l qd q C Qd l C ld l m ρρ Δ Δ ⎛⎞ == = ⎜⎟ Δ ⎝⎠ 2 lim ss s s s q C s C sd s m Δ Δ = Δ 3 lim vv v v v q C v C vd v m Δ Δ = Δ Current density 2 v s A Ju IJ d s m Coulomb's law 2 ˆ 4 qV ER R m πε = G Electric field intensity 0 lim q FV EF q E N qm G G Electric field intensity of isolated point charge at an arbitrary point P 3 4 P qR R V E m RR = G Electric field of a system of discrete point charges ' 3 ' 1 1 4 n ki i i qRR V E m π = = G Force experienced by 2 q due to electric field intensity 12 E of 1 q 12 12 2 12 12 2 01 2 ˆ 4 qq F qE R N R

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Electrical field intensity of a line distribution of charge 2 ' 1 ˆ 4 l l V ER d l Rm ρ πε ⎛⎞ = ⎜⎟ ⎝⎠ G Electrical field intensity due to an infinite long straight line charge of a uniform density ˆ 2 V Er rm = A G
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EE140 formula sheet 2 - Electrostatics Differential form E...

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