Electrician Common Core Levels 1-2 Formula Sheet - Formula

Sep 27, 2026

Uploaded by Stanford

Provides a compact formula sheet for electrician common core levels 1 and 2, organizing electrical and related engineering calculations into quick-reference sections. Content includes general algebraic and circuit relationships, conductor resistance values in both Imperial and SI units, and combinations such as series behavior. Additional tables summarize electronics expressions for 1Φ and 3Φ half-wave/full-wave cases with form factors, plus machine-related relationships involving induction and DC/AC considerations. Overall, it supports fast calculation during study or assessment.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Formula Sheet

General

Electronics

Machines

Formula Sheet | General | | | | | | | | | --- | --- | --- | --- | --- | --- | --- | --- | | 􀜣 = 􀜮 • 􀜹 | | | 􀜣 = 􀟨􀝎2 | | | | | | 􀜹 = 0. 5􀜮􀜫2 | | | 􀜹 = 0. 5􀜥􀜧2 | | | | | | 􀜽􀝀􀝆
􀜥􀝋􀝏􀟆 = ~~ ~~ℎ􀝕􀝌 | | | 􀝋􀝌􀝌
􀜵􀝅􀝊􀟆 = ~~ ~~ℎ􀝕􀝌 | | 􀝋􀝌􀝌
􀜶􀜽􀝊􀟆 = ~~ ~~􀜽􀝀􀝆 | | | | 􀜫 = | | 􀜧
􀜴 | 􀜥 = 􀜳􀜸 | | | | | | 􀜲 = 􀜫􀜧 | | | 􀜲 = 􀜫 2 􀜴 | | 􀜲 = | 􀜧 2
􀜴 | | | 􀜥 = | 8. 85􀜺10−12 • 􀜭 • 􀜣􀝀 | | 􀜨􀯠 = 􀝇~~ ~~•~~ ~~􀜫􀝀12•~~ ~~􀜫2 | | 􀝇 • 􀜳 1 • 􀜳 2
􀜨 = ~~ ~~
􀝀 2 | | | | 􀜴 = 􀯖􀯄􀯅􀯠􀯔 Cu=10.4 Ω/milfoot, Al=17 Ω/milfoot (Imperial) | | | | 􀜴 = 􀰘ℓ􀮺 Cu=1.72x10-8 Ω/m, Al=2.65x10-8 Ω/m (SI) | | | | | 􀜴 􀯖ℎ􀯔􀯡􀯚􀯘 = 􀜴 􀯢􀯟􀯗 • 􀟙 • 􀟂􀝐(Cu=0.00393, Al=0.004) | | | | | | | | | 􀜨􀯆
􀟔 = ~~ ~~􀜴􀯆 | | | 􀟚 = | 􀟔
􀜣 | 􀟤 = | | 􀟚
􀜪 | | 􀜪 = 􀜨􀯆􀜮 | | | | | | | | | 􀟬 = | | 􀜮
􀜴 | 􀟬 = 􀜴􀜥 | | | | | | 􀝔􀯟 = 2􀟨􀝂􀜮 | | | 1 􀝔􀯖 = ~~ ~~
2􀟨􀝂􀜥 | | 􀜼 = 􀶧􀜴 2 + 􀜺􀯡􀯘􀯧2 (series only) | | | | 1
􀜼 = ~~ ~~􀶧 􁉀1􀜴􁉁 2 + 􁉀1􀜺􀝈 − 1􀜺􀜿~~ ~~ 􁉁 2 | | | | | | | | | 􀜧 = 􀜤􀝈􀝒 | | | 􀜰 2􀟤􀜣􀜮 = ~~ ~~
ℓ | | 􀜧 = −􀜮 􀯱􀯱􀯂􀯧 and 􀜧 = −􀜯 􀯱􀯱􀯂􀯧 | | | | 􀝁􀯂􀯇􀯌􀯍 = 􀜧􀯉 × 􀜵􀝅􀝊 􀟆 | | | 􀝂 = 1􀝌 | | | | | | 􀝂􀯥 = 1 2􀟨√􀜮􀜥 | | | 􀵬 ~~ ~~21􀟨􀝂􀝎~~ ~~ 􀵰 2 􀜮 = ~~ ~~
􀜥 | | 􀵬 ~~ ~~21􀟨􀝂􀝎~~ ~~ 􀵰 2 􀜥 = 􀜮 | | | | (VA) 􀜵3􀰃 = √3 • 􀜧􀯅 • 􀜫􀯅
(omit √3 for 1Φ) | | | (W) 􀜲3􀰃 = √3 • 􀜧􀯅 • 􀜫􀯅 • 􀜿􀝋􀝏 􀟠(omit √3 for 1Φ ) | | (VAR) 􀜳 3􀰃 = √3 • 􀜧􀯅 • 􀜫􀯅 • 􀝏􀝅􀝊 􀟠
(omit √3 for 1Φ ) | | | | 􀝌􀝂 = 􀜿􀝋􀝏 (􀝐􀜽􀝊−1(1 .732 􀵬 ~~ ~~􀜹􀜹22~~ ~~~~ ~~􀜹􀜹11􀵰 ) | | | continued on next page… | | | | | | Electronics | | | | --- | --- | --- | | 1Φ half wave | 1Φ full wave | | | 􀜧􀮺􀯏􀯀 = 􀜧􀯋􀯆􀯌 ∗ √2 ∗ 0.318 | 􀜧􀮺􀯏􀯀 = 􀜧􀯋􀯆􀯌 ∗ √2 ∗ 0.637 | 􀜧􀮺􀯏􀯀 = 􀜧􀯉 (1+􀯖􀯢􀰗􀯦~~ ~~􀰈) (full wave) | | 􀜧􀮺􀯏􀯀 = 􀜧􀯋􀯆􀯌 ÷ 2 . 22 (form factor) | 􀜧􀮺􀯏􀯀 = 􀜧􀯋􀯆􀯌 ÷ 1. 11 (form factor) | 􀜧􀮺􀯏􀯀 = 􀜧􀯉 (1+􀯖2􀯢􀰗􀯦~~ ~~􀰈) (half wave) | | 3Φ half wave | 3Φ full wave | | | 􀜧􀮺􀯏􀯀 = 􀜧􀯋􀯆􀯌 ∗ √2 ∗ 0.827 | 􀜧􀮺􀯏􀯀 = 􀜧􀯋􀯆􀯌 ∗ √2 ∗ 0.955 | | | 􀜧􀮺􀯏􀯀 = 􀜧􀯋􀯆􀯌 ∗ 1. 17 (form factor) | 􀜧􀮺􀯏􀯀 = 􀜧􀯋􀯆􀯌 ∗ 1. 35 (form factor) | | | Machines | | | | --- | --- | --- | | 􀜧􀯉 􀜰􀯉 􀜫􀯌 ~~ ~~ = ~~ ~~ = ~~ ~~􀜧􀯌 􀜰􀯌 􀜫􀯉 | 􀜫􀯌􀯘􀯖􀯢􀯡􀯗􀯔􀯥􀯬􀜫􀯌􀮼 = ~~ ~~
%􀯂􀯓 | | | 􀜪􀜲 = 62􀰗0•􀯇5􀯍50 and 􀜪􀜲 = 5􀯇2􀯍52
(Imperial) | 􀜲 = 2􀰗6􀯇0􀯍 (SI) | 􀜶 ∝ 􀜧 2 (in an induction machine) | | 􀜰 ∝ 􀝇􀟔􀜧 | 􀜶 ∝ 􀝇􀟔􀜫
(for a dc machine, for an AC machine, power factor of the rotor current must be taken into account) | | | 􀜰􀯌􀯅􀯂􀯉 = 􀜰􀯌􀯒􀯇􀮼􀯁 − 􀜰􀯋􀯈􀯍􀯈􀯋 | %􀝏􀝈􀝅􀝌 = 􀜰􀝏􀜰􀝎 􀜺100 | 􀜰􀯋􀯈􀯍􀯈􀯋
􀜰􀯌􀯒􀯇􀮼􀯁 = ~~ ~~1 − %􀜵􀝈􀝅􀝌 (􀝀􀝁􀜿􀝅􀝉􀜽􀝈) | | %􀜸􀯥􀯘􀯚 = 􀜸􀯇􀯅􀯅􀜸􀮿􀯅 × 100 | %􀜰􀯥􀯘􀯚 = 􀜰􀯇􀯅􀯅􀜰􀮿􀯅 × 100 | 􀝂􀯋􀯈􀯍􀯈􀯋 = 􀜰􀯌2􀯅6•0􀜲 | | 􀝂 = •􀯉60 ( Pis poles) Or
􀝂 = 􀯇6•􀯉0 ( Pis pairs of poles) | 􀜰 = 2∗60􀯉􀯙 P is poles Or
􀜰 = 60􀯉􀯙 P is pairs of poles | |

FAQs

What does the formula sheet cover for Electrician Common Core levels 1-2?

It provides grouped reference formulas for electrical calculations, including general relationships, electronics wave/form-factor expressions, and machine-related formulas.

Are conductor resistance values included in both Imperial and SI units?

Yes. The sheet lists copper and aluminum resistance values separately for Imperial (Ω/milfoot) and SI (Ω/m) units.

How are single-phase and three-phase waveforms handled?

Electronics formulas are provided for 1Φ and 3Φ cases, including half-wave and full-wave expressions, with notes on form factors (and omitting √3 for 1Φ where applicable).

Does the sheet include machine-related formulas such as induction and DC/AC considerations?

Yes. A machines section includes relationships involving induction machines and notes that DC and AC rotor current power factor must be considered for the AC case.

Sep 27, 2026

Uploaded by Stanford