EG 322 Formula Sheet For Quiz 1 Force on an atom 𝑓̂ = 𝑞𝑢̂ × 𝐵̂ Force on a current carrying wire 𝑑𝑓̂ = 𝑖𝑑𝑙̂ × 𝐵̂ Magnitude: Magnitude: 𝑓 = 𝑞𝑢𝐵 sin 𝜃 𝑓 = 𝑖𝑙𝐵 sin 𝜃 Force on a surface Flux linkage 𝜆 = 𝑁𝜙 𝜙 = ∫ 𝐵 𝑑𝐴 𝐴 If surface is perpendicular to the field: 𝜙 = 𝐵𝐴 MMF Equations ℱ = 𝑁𝑖 ℛ= Transformer ratios 𝑁2 𝑉2 = 𝑉 𝑁1 1 ℓ 𝜇𝐴 𝐼2 = 𝜇 = 𝜇𝑜 𝜇𝑟 𝜇𝑜 = 4𝜋 × 10−7 ℱ = ℛ𝜙 Flux linkage to voltage relation 𝑑𝜆 𝑒= 𝑑𝑡 𝑊𝑏 𝐴𝑚 𝑁1 𝐼 𝑁2 1 Power Formulas 𝑉2 𝑃= = 𝐼 2 𝑅 = 𝑉𝐼 𝑅