esheet1a

# Esheet1a - Physics 21 Fall 2004 Equation Sheet for Exam-1 3.00 108 m/s 6.67 10-11 N m2/kg2 6.02 1023 mol-1 8.315 J/mol K 1.38 10-23 J/K 1.60 10-19

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Physics 21 Fall, 2004 Equation Sheet for Exam-1 Physical Constants : speed of light in vacuo c 3 . 00 × 10 8 m/s Gravitational constant G 6 . 67 × 10 - 11 Nm 2 /kg 2 Avogadro’s Number N A 6 . 02 × 10 23 mol - 1 Gas constant R 8 . 315 J/mol K Boltzmann’s constant k B 1 . 38 × 10 - 23 J/K charge on electron e 1 . 60 × 10 - 19 C free space permittivity ± 0 8 . 85 × 10 - 12 C 2 /N m 2 free space permeability µ 0 4 π × 10 - 7 T m/A Planck’s constant h 6 . 63 × 10 - 34 Js electron rest mass m e 9 . 11 × 10 - 31 kg proton rest mass m p 1 . 6726 × 10 - 27 kg neutron rest mass m n 1 . 6749 × 10 - 27 kg atomic mass unit u 1 . 6605 × 10 - 27 kg 1 / (4 π± 0 ) k 8 . 99 × 10 9 2 /C 2 Various and Sundry Equations : F 12 = 1 4 0 Q 1 Q 2 r 3 21 ( r 1 r 2 ) (Coulomb’s Law) E = 1 4 0 Q r 2 ˆ r = 1 4 0 Q r 3 r (Feld of point charge) F = q E I E · d A = Q encl ± 0 V b V a = Z b a E · d l E = −∇ V E = µ ˆ i ∂V ∂x + ˆ j ∂y + ˆ k ∂z V = 1 4 0 Q r Q = CV U = 1 2 2 U = 1 2 Q 2 /C u = 1 2 ± 0 E 2 C = ± 0 K A d = ± A d V = IR or V =0 R = ρ l A σ = 1 ρ P = IV P = I 2 R I = dQ dt C ’s in series or R ’s in parallel: 1 C ef = 1 C 1 + 1 C 2 , 1 R ef = 1 R 1 + 1 R 2 C ’s in parallel or R ’s in series: C ef = C 1 + C 2 ,R ef = R 1 + R 2 Useful Integrals : Z du a 2 + u 2 =ln ³ u + p a 2 + u 2 ´ Z udu a 2 + u 2 = p a 2 + u 2 Z du a 2 + u 2 = 1 a tan - 1 ³ u a ´ Z a 2 + u 2 =
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## This note was uploaded on 08/06/2008 for the course PHYS 21 taught by Professor Hickman during the Fall '07 term at Lehigh University .

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