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Physics LibreTexts

7.1: Comparison of Electrostatics and Magnetostatics

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Students encountering magnetostatics for the first time have usually been exposed to electrostatics already. Electrostatics and magnetostatics exhibit many similarities. These are summarized in Table 7.1.1. The elements of magnetostatics presented in this table are all formally introduced in other sections; the sole purpose of this table is to point out the similarities. The technical term for these similarities is duality. Duality also exists between voltage and current in electrical circuit theory.

Table 7.1.1: A summary of the duality between electrostatics and magnetostatics
  electrostatics magnetostatics
Sources static charge steady current, magnetizable material
Field intensity E (V/m) H (A/m)
Flux density D (C/m2) B (Wb/m2=T)
Material relations D=ϵE B=μH
J=σE  
Force on charge q F=qE F=qv×B
Maxwell’s Eqs.
(integral)
SDds=Qencl SBds=0
CEdl=0 CHdl=Iencl
Maxwell’s Eqs.
(differential)
D=ρv B=0
×E=0 ×H=J
Boundary Conditions ˆn×[E1E2]=0 ˆn×[H1H2]=Js
  ˆn[D1D2]=ρs ˆn[B1B2]=0
Energy storage Capacitance Inductance
Energy density we=12ϵE2 wm=12μH2
Energy dissipation Resistance  

This page titled 7.1: Comparison of Electrostatics and Magnetostatics is shared under a CC BY-SA 4.0 license and was authored, remixed, and/or curated by Steven W. Ellingson (Virginia Tech Libraries' Open Education Initiative) .

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