OhmPrepOhmPrep

Journeyman electrician exam / calculations

The exam calculations, worked out step by step.

Voltage drop, conduit fill, box fill, load calcs, Ohm's law, ampacity and derating. Every line of the math written out, with the NEC table you would open for each number.

CH1 source / CH2 loadLive
Source120.0 V
At load112.1 V
Drop7.90 V
Drop %6.58%

12 AWG copper, 20 A, 100 ft one way, 120 V single-phase.


What it covers

Six calculation types. One method for each.

Each topic is broken into the same pattern: the formula, where every number comes from, then worked problems with the traps marked.

01

Voltage drop

VD = 2 × K × I × L / CM

Single-phase and three-phase, solving for volts, percent, size or length.

Read the worked examples
02

Conduit fill

Σ conductor area ≤ 40% of raceway

Chapter 9 Tables 1, 4 and 5, the ground you must count, and the 0.8 rule.

Read the worked examples
03

Box fill

count × volume allowance ≤ box volume

What counts as 1, what counts as 2, and what does not count at all.

Read the worked examples
04

Load calculations

3,000 VA at 100% + rest at 35%

The dwelling standard method in order, ending at the service conductors.

Read the worked examples
05

Ohm's law and power

E = I × R / P = E × I

Heaters, parallel loads, power factor and three-phase power.

Read the worked examples
06

Ampacity and derating

base × temp factor × fill factor

Temperature correction, bundling, and the terminal check.

Read the worked examples

The format

A problem, then every step. Nothing skipped.

This is how each exercise is laid out: the givens, one step per line, and the answer with the code reference. In the course, the steps animate in one at a time and you score points for each one you get right before it is shown.

Check it in the calculator
Voltage drop: 240 V branch circuit+10 pts

A 240 V single-phase load draws 30 A. It is 150 ft from the panel on 10 AWG copper. What is the voltage drop in percent, and does it meet the 3% recommendation?

K (copper)12.9
CM, 10 AWG10,380
I30 A
L (one way)150 ft
  1. Pick the single-phase formula

    VD = 2 × K × I × L / CM
  2. Plug in the numbers

    VD = 2 × 12.9 × 30 × 150 / 10,380
  3. Multiply the top, then divide

    VD = 116,100 / 10,380 = 11.18 V
  4. Convert to percent and compare

    11.18 / 240 × 100 = 4.66% > 3%

4.66%, over the 3% recommendation. 8 AWG copper (16,510 cmil) brings it to 7.03 V, or 2.93%. CM values: NEC Chapter 9, Table 8.


Free tool

Free voltage drop calculator

Single-phase or three-phase, copper or aluminum, 14 AWG to 500 kcmil. It shows the drop in volts and percent, compares it to the 3% recommendation, and writes out every step so you can check your own work line by line.

Open the calculator
Single-phaseVD = 2 × K × I × L / CM
Three-phaseVD = 1.732 × K × I × L / CM
K copper12.9 Ω·cmil/ft
K aluminum21.2 Ω·cmil/ft
CM sourceNEC Ch. 9, Table 8
3% figureInformational note


Coming soon

OhmPrep Calculations Course

Animated worked problems for every calculation type above, and a practice app that scores you step by step, not only on the final answer.

$59 planned price

  • Animated exercises: each step appears after you try it.
  • Practice app with points for every correct step.
  • Voltage drop, fill, load calcs, Ohm's law, derating, motors and transformers.
  • NEC references by article and table number, for any edition check.
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