0 ien ap u sinh ra dong ro i ien tr cach

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Unformatted text preview: ch ñieän : Rcñ = U/I Ñieän daãn roø : G = 1/Rcñ Ví duï : Rcñ ? q TÑt : E = 2πε rL ir E= I 2πγ rL r R2 i U = ∫ Edr = R1 Rcd = U = I 1 2πγ L I 2πγ L 2 ln R1 R ln R12 R 10 5 OÂn taäp GHK ª Phaàn lyù thuyeát © TS. Lương H u Tu n ª Phaàn baøi taäp : boû °phaân boá q vaø ϕ cuûa heä thoáng vaät daãn °phöông phaùp phaân ly bieán soá ª Khaùc ... 11 © TS. Lương H u Tu n Phaàn lyù thuyeát (baét buoäc) ª C1 : °ñònh luaät cô baûn °doøng ñieän dòch °heä phöông trình Maxwell °ñònh lyù Poynting - naêng löôïng ñieän töø °moâ hình toaùn ª C2 : °tính chaát theá °phöông trình Poisson - Laplace & 3 ÑKB °tính chaát cuûa vaät daãn trong TÑt °Naêng löôïng ñieän töø : − theo theá − cuûa heä thoáng vaät daãn °löïc : theo bieåu thöùc naêng löôïng 12 6 Khaùc ... © TS. Lương H u Tu n ª C1 : °giaûi tích vectô °TÑT ? moâ hình ? °thoâng soá chính : + E , B; J , ρ ; D, H + 3 phöông trình lieân heä °ÑKB : chieáu, n ª C2 : ° ñieän dung ° ñieän tích lieân keát ° löïc Coulomb ª C3 : töông töï (ε ↔ γ, q ↔ Ι) 13 Coâng thöùc ... dl = h1du1i1 + ... D: T: C: © TS. Lương H u Tu n dS1 = ± h2 h3 du2 du3i1 , dV = h1h2 h3 du1du2 du3 gradϕ = divA = rotA = 1 ∂ϕ h1 ∂u1 i1 + ... ∂ ( h2 h3 A1 ) 1 h1h2 h3 ∂u1 [ 1 h1h2 h3 h1 1 1 1 h2 1 r r h3 1 1 rsinθ + ...] h1i1 ∂ ∂u1 ... h1 A1 ∆ϕ = div ( gradϕ ) 14 7 © TS. Lương H u Tu n Coâng thöùc ... A.B = A1 B1 + ... i1 i2 A × B = A1 A2 B1 B2 i3 A3 B3 ∫ divAdV = ∫ AdS ∫ rotAdS = ∫ Adl V S S C ∇( A × B ) = B (∇ × A) − A(∇ × B) rot ( gradϕ ) = 0 15 © TS. Lương H u Tu n Coâng thöùc ... rotH = J + ∂∂D , H1t − H 2 t = J s t ∂B , E1t − E2t = 0 rotE = − ∂t , D1n − D2 n = σ divD = ρ , B1n − B2 n = 0 divB = 0 divJ = − ∂ρ , J1n − J 2 n = − ∂∂σ ∂t t W= ∫ 1 2V D = ε E B = µ H J = γ E ( B.H + E.D )dV P = E × H , PS = PJ + dW , we , wm dt 16 8 Coâng thöùc ... gt dq E = − gradϕ , ϕ A = ∫ Edl , ϕ = ∫ 4πε R A © TS. Lương H u Tu n ∆ϕ = − ρ ε ; ϕ1 = ϕ 2 , −ε1 ∂∂ϕ1 + ε 2 n ∂ϕ 2 ∂n = σ , − ∂∂ϕ1 + ∂∂ϕτ2 = 0 τ E = 0, ρ = 0, ϕ = const , E = σ n ε C= q U ρl = −divP, σ l = − P n + P2 n , P = (ε − ε 0 ) E 1 We = n ∫ 1 2V ∞ ε E 2 dV = 1 ∫ ρϕ dV + 1 ∫ σϕ dS = 1 ∑ ϕ k qk 2 2 2 V S k =1 F = qE n ∑ ϕ dq k k = FdX + dWe , F = ± ∂∂We X k =1 17 Coâng thöùc ... © TS. Lương H u Tu n Gauss veà ñieän : D.S = q* S = 4πr2 D.St = q* St = 2πr.L D.Sñ = q* Sñ = Sñ1 + Sñ2 = 2S0 AÛnh ñieän + phaân caùch phaúng ε − γ : ñoái xöùng, -q + phaân caùch caàu ε − γ : b = a 2 D , Q ' = Qa D ε1 −ε 2ε 2 + phaân caùch phaúng ε1 − ε2 : q1 = ε1 +ε 2 q, q2 = ε1 +ε 2 q 2 divJ = 0 Tính chaát : theá, nguoàn, ρ ≠ 0, ϕ ≈ const Töông töï (ε ↔ γ, q ↔ Ι) R =1 G = U I 18 9 ©...
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