PHY107 - Formula Sheet 2

PHY107 - Formula Sheet 2 - Calculus-Based Physics II by...

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Unformatted text preview: Calculus-Based Physics II by Jeffrey W. Schnick F =k q1 q2 r2 F = qE FB = ∇(µ ⋅ B) F = I L×B F = q v ×B τ = µ ×B µ = N IA 111 =+ foi M= h' h i o E= kq r2 M =− P= U = qϕ ϕ = Ed ϕ= kq r B= µo 3 (µ ⋅ r) r − µ ˆˆ 4π r3 dq = λ dx k dq dE = 2 r k dq dϕ = r F = −∇U E = − ∇ϕ W = − q ∆ϕ B= µo I 2π r E = vP × B 1 1 1 = (n − no ) + R R f 2 1 1 f P = P1 + P2 Φ E = E ⋅ dA dB = µo I d l × r 4π r3 E = E MAX sin( 2πf t ) mλ = d sin θ (m + 1 ) λ = d sin θ 2 E RMS = 1 E MAX 2 Csc = 1 2 V = IR L R=r A P =IV R s = R1 + R 2 1 Rp = 1 1 + R1 R 2 I =Q ⋅ B = − µ o eo vP × E Φ B = B ⋅ dA ΦB = B ⋅ A ∫ (cos x) dx = sin x x sin 2 x ∫ (cos x) dx = 2 + 4 2 E = N ΦB ⋅ E= 1⋅ ΦB 2π r Q Q ,C= ϕ V 2 mλ = w sin θ mλ 2 = 2t 1 2 dx 1 + sin x ∫ cos x = 12 ln 1 − sin x dx ∫ (cos x) 2 = tan x dx 2 2 ∫ x 2 + a 2 = ln x + x + a xdx 2 2 ∫ x2 + a2 = x + a B ⋅ dl = µ o ITHROUGH + µ 0 e 0 Φ E Q E ⋅ dA = ENCLOSED eo E ⋅ dl = − ΦB B ⋅ dA = 0 ( ) 1 e = 1.60 × 10 −19 C k= 1 4π e o ∫ ∫ ∫ x 2 dx x +a 2 2 = U = CV A C = κ eo d 1 Cs = 1 1 + C1 C 2 C p = C1 + C 2 (m + ) λ 2= 2t n λ 2 = 1 λ1 n2 a2 ln x + x 2 + a 2 2 dx (x2 + a2 ) xdx 2 2 3 2 ( x2 x + a2 − 2 ) I = I o (cosθ ) 2 c n= v n1 sin θ 1 = n2 sin θ 2 n sin θ c = 2 n1 = 1 a2 x x2 + a2 1 x + a2 2 N ⋅ m2 C2 C2 −12 eo = 8.85 × 10 N ⋅ m2 T⋅m µ o = 4π × 10 − 7 A nH 2 O = 1.33 k = 8.99 × 109 me = 9.11 × 10−31 kg mp = 1.6726 × 10−27 kg (x + a ) 3 =− 2 τ = RC V = E (1 − e −t / τ ) V = Vo e − t / τ I = I o e −t / τ ∫ x 2 dx (x2 + a 2 ) 3 2 =− x x2 + a2 2 ln x + x + a ( + 2 c = 3.00 × 108 ) m s particles mole N A = 6.022 × 1023 ...
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