Equation_Sheet_2

Equation_Sheet_2 - Fundamental Concepts Conservation of...

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Final B-10 Fundamental Concepts Conservation of charge The Superposition Principle Conservation of Energy Conservation of Momentum a.k.a. The Momentum Principle a.k.a. Newton’s second law Results (electricity) (point charge) a distance z along the axis if z << R for + Q and – Q disks just outside capacitor along axis, where x >> s along perpendicular axis, where y >> s a perpendicular distance r from the center; if r << L a distance z along the axis Power = I Δ V Δ V battery = emf – r int IQ = C | Δ V | Results (magnetism) for r << L along the axis of the dipole, large x along axis, large x current loop inside a long solenoid (radius of solenoid << L) Results (electromagnetic radiation) (continued on next page) E 1 4 πε 0 ----------- q r 2 ----r ˆ = F 2 q 2 E 1 = B μ 0 4 π ------ q vr ˆ × r 2 -------------- = Δ B μ 0 4 π I Δ lr ˆ × r 2 --------------- = U mag μ B = V U el q ------- ≡Δ V Δ U e q ---------- VV f V i –E Δ l == F q E q vB × + = F I Δ lB × = En ˆ A ˆ Δ A d ° q inside ε 0 --------------------- = Bn ˆ dA ˆ Δ A ° 0 = B d l ° μ 0 I inside path ε 0 d dt ---- ˆ A d + = E d l ° d ˆ A d = v uE = i nAv nAuE I q nAuE = Δ V q 4 0 1 r f --- 1 r i = E disk QA / 2 ε 0 ----------- 1 z z 2 R 2 + () 12 / ----------------------------- = E disk / 2 ε 0 z R -- / 2 ε 0 ≈≈ E capacitor / ε 0 E fringe / ε 0 s
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This note was uploaded on 11/16/2011 for the course ECE 201 taught by Professor All during the Fall '08 term at Purdue University.

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