c1 - Maxwell's Equations Gauss Faraday Ampere E = 0 H = 0 E...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Maxwell’s Equations Gauss ∇ · εE = ρ HR ε ~ E · d~a = HRR ρdV ∇ · μ 0 ~ H = 0 HR μ 0 ~ H · d~a = 0 Faraday ∇ × ~ E = - ∂μ 0 ~ H ∂t H ~ E · d~s = - ∂t RR μ 0 ~ H · d~a Ampere ∇ × ~ H = ~ J + ∂ε ~ E ∂t H ~ H · d~s = RR ~ J · d~a + ∂t RR ε ~ E · d~a Boundary Conditions ~ D 2 - ~ D 1 = σ u ~ E 2 k - ~ E 1 k = 0 ε 0 ( E 2 - E 1 ) = σ u + σ p ~ B 2 - ~ B 1 = 0 ~ H 2 k - ~ H 1 k = 0 Common Electric Fields Point Charge E r = q 4 πε 0 r 2 Infinite Charge Plane E x = σ 2 ε 0 Uniformly Charged Sphere E r = ρ 3 ε 0 r,r < a E r = ( ρ 4 3 πa 3 ) 4 πε 0 r 2 ,r > a Charge Ring E z = λ 2 πa 4 πε 0 z 2 Line Charge E z = λL 4 πε 0 z 2 Oppositely Charged Plates E = σ ε 0 Charge Dipole φ ( ~ r ) = qd 4 πε 0 r 3 (2 cos θ ˆ r + sin θ ˆ θ ) Electric Potential φ ( ~ r ) = I ~ r ~ E · d~s ~ E = -∇ φ ( ~ r ) 2 φ = ρ ε 0 Point Charge φ ( ~ r ) = q 4 πε 0 r Charge Dipole φ ( ~ r ) = qd 4 πε 0 r 2 cos θ ↓↑ Charge Quadrupole φ ( ~ r
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/15/2008 for the course ECE 3030 taught by Professor Rana during the Fall '06 term at Cornell.

Page1 / 2

c1 - Maxwell's Equations Gauss Faraday Ampere E = 0 H = 0 E...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online