152 Key Formulas

Th q w s heat engine cycle w out w s i w

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Unformatted text preview: general Vf i Q = ΔE th − W For all gas processes: ΔE th = nCV ΔT pV = nRT ΔE th = W + Q € € € € Key formulas 4 Chapter 19: Heat Engines Heat engine (single process) η= work done by system: W s = −W first law of thermodynamics: ΔE th = Q − W s € Heat engine (cycle) € W out = ∑ (W s ) i = −∑W i i QH = Refrigerator € K= QC QC = W in QH − QC 2nd law of thermodynamics: € ηCarnot = 1 − ∑ Q ; Q = ∑ Q i c TC TH i Qi > 0 € € i W out Q = 1 − C QH QH Qi < 0 first law of thermodynamics: W out = QH − QC € thermal efficiency: K Carnot = € TC TH − TC € Chapter 26: Electric Charge and Forces € F =K q1 q2 1 q1 q2 = 2 r 4 πε0 r 2 K= ε0 = 8.854 x 10–12 C2/Nm2 € 1 =8.988 x 109 Nm2/C2 4πε 0 Chapter 27: Electric Field Electric field ρ= (point charge) (many point charges) Charge densities λ= Q V Continuous charge distributions (long wire or cylinder) (charged plane) Q L Q η = A (parallel plates) Key Formulas 5 Fnet qE a= = (if no other significant forces) m m Motion of charged particle in field Felectric = qE Chapter 28: Gauss’ law if symmetry of Gaussian surface matches symmetry of field: Φ E = EA (uniform field ⊥ to surface) Gauss’ law: E= 1 AGaussian Qin ε0...
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