Physics formulas/equations, Cheat Sheet of Physics

Download Physics formulas/equations and more Cheat Sheet Physics in PDF only on Docsity! IUPUI PHYS 25100 - FORMULAS AND CONSTANTS - REVISED 01/24/20 E/M Constants e = 1.60 ´ 10-19 C k = 8.99 ´ 109 N×m2/C2 𝜖"= 8.85 ´ 10-12 F/m 𝜇" = 4p ´ 10-7 H/m c = 3.00 ´ 108 m/s Chapter 21 ?⃗? = 𝑘𝑞"𝑞 𝑟* ?̂? ?⃗? = 𝑞"𝐸-⃗ 𝐸-⃗ = 𝑘𝑞 𝑟* ?̂? Chapter 22 𝐸-⃗ = . 𝑘𝑑𝑞 𝑟* ?̂? l = linear charge density s = surface charge density r = volume charge density 𝑘 = 1 4𝜋𝜖" 𝜙 = . 𝐸-⃗ 4 ∙ 𝑛7 𝑑𝐴 𝜙:;< = = 𝐸-⃗ ∙ 𝑛7 4 𝑑𝐴 = 𝑄?: 𝜖" Chapter 23 𝑈A − 𝑈C = −. ?⃗? A C ∙ 𝑑ℓ-⃗ 𝑉A − 𝑉C = −. 𝐸-⃗ A C ∙ 𝑑ℓ-⃗ 𝑈 = 𝑞"𝑉 𝑉 = 𝑘𝑞𝑟 𝑈 = 𝑘𝑞0𝑞 𝑟 𝑉 = . 𝑘𝑑𝑞 𝑟 𝐸G = − 𝑑𝑉 𝑑𝑥 𝐸-⃗ = −∇-⃗ 𝑉 Chapter 24 𝑄 = 𝐶𝑉 𝐶 = 𝜖"𝐴 𝑑 𝑈 = K * 𝐶𝑉* 𝑢; = K * 𝜖"𝐸* 𝐶M = 𝐶K + 𝐶* + ⋯ 1 𝐶P = 1 𝐶K + 1 𝐶* + ⋯ 𝐶 = 𝜅𝐶" 𝜖 = 𝜅𝜖" Chapters 25 & 26 𝐼 = 𝑑𝑞 𝑑𝑡 𝑅 = 𝜌𝐿 𝐴 𝑉 = 𝐼𝑅 𝑃 = 𝐼𝑉 𝑃 = 𝐼*𝑅 𝑅P = 𝑅K + 𝑅* +⋯ 1 𝑅M = 1 𝑅K + 1 𝑅* +⋯ RC discharging circuit: 𝑄(𝑡) = 𝑄"𝑒[</] RC charging circuit: 𝑄(𝑡) = 𝑄^(1 − 𝑒[</]) 𝜏 = 𝑅𝐶 Chapters 27-29 ?⃗? = 𝑞𝑣 × 𝐵-⃗ 𝑑?⃗? = 𝐼𝑑ℓ-⃗ × 𝐵-⃗ 𝐵-⃗ = 𝜇" 4𝜋 𝑞𝑣 × ?̂? 𝑟* 𝑑𝐵-⃗ = 𝜇" 4𝜋 𝐼𝑑ℓ-⃗ × ?̂? 𝑟* = 𝐵-⃗ ∙ 𝑛7 𝑑𝐴 = 0 4 = 𝐵-⃗ ∙ 𝑑ℓ-⃗ = 𝜇" c 𝐼c 4 Chapter 30 𝜙d = . -𝐵 ∙𝑛7 𝑑𝐴 𝜙d = 𝑁𝐵𝐴cos𝜃 ℰ = − 𝑑𝜙d 𝑑𝑡 𝜙d = 𝐿𝐼 𝐿 = 𝜇"𝑛*𝐴ℓ 𝑉k = 𝐿 𝑑𝐼 𝑑𝑡 𝑈d = K * 𝐿𝐼* 𝑢d = 𝐵* 2𝜇" ℰqdP = r(ℇ*)Ct = RL discharging circuit: 𝐼(𝑡) = 𝐼"𝑒[</] RL charging circuit: 𝐼(𝑡) = 𝐼 m1 − 𝑒[</]n 𝜏 = 𝐿/𝑅 Chapter 31 ℰ(𝑡) = ℰM cos 𝜔𝑡 𝐼(𝑡) = 𝐼M cos(𝜔𝑡 − 𝛿) ℰM √2