Formula Sheet for Quiz 1

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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
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