6.641,Electromagnetic Fields,Forces,and Motion Prof.Markus Zahn Lecture 3:Electroquasistatic and Magnetoquasistatic Fields and Boundary Conditions I.Conditions for Electroquasistatic Fields A.Order of Magnitude Estimate [Characteristic Length L,Characteristic timet Figure 3.3.1 Prototype systems involving one typical length.(a)EQS system in which source of EMF drives a pair of perfectly conducting spheres having radius and spacing on the order of L. (a) Courtesy of Hermann A.Haus and James R.Melcher.Used with permission. .E=e是=peE=g xH=εE-H=E=H-eEL-p t VxE Eomg >==一Eo2L2 L Eipt 2 Femor=HpL3 2 (cr)2 i c=-1 VEμ Eeor《1《1 E 6.641,Electromagnetic Fields,Forces,and Motion Lecture 3 Prof.Markus Zahn Page 1 of 126.641, Electromagnetic Fields, Forces, and Motion Lecture 3 Prof. Markus Zahn Page 1 of 12 6.641, Electromagnetic Fields, Forces, and Motion Prof. Markus Zahn Lecture 3: Electroquasistatic and Magnetoquasistatic Fields and Boundary Conditions I. Conditions for Electroquasistatic Fields A. Order of Magnitude Estimate [Characteristic Length L, Characteristic time τ ] Courtesy of Hermann A. Haus and James R. Melcher. Used with permission. E L E E L ρ ∇ =ρ ⇒ =ρ ⇒ = ε ε ε i 2 E H E EL L H H t L ∂ ρ ∇× = ⇒ = ⇒ = = ∂ τ ττ ε ε ε 2 3 error 2 error H HL L E E E t L ∂ µ µρ µρ ∇× = − ⇒ = = ⇒ = ∂τ τ τ µ ( ) 3 22 error 2 2 E L LL 1 ; c E L c µρ µ = == τρ τ τ µ ε ε = ε error E L 1 1 E c ⇒ τ