🚧 Under construction — VoTechWorks is being built. A free tech program — complimentary, as our commitment to get America working.
voTechWorksGrade 13 · a vocational technology learning center, by urbanicity
newSchoolWorks.com › VoTechWorks › Building & Construction › Electrical › DC/AC Electrical Theory › Lesson 3
BLD-ELEC05-02 · Lesson 3 · 22 clock hours · lab

Voltage, Current, Resistance, and Ohm's Law

Objective. Students will apply Ohm's Law (V = IR) to calculate an unknown quantity when two are known, then verify each calculation by measuring a resistive circuit built on a terminal-strip trainer to within ±5%.

What Is Voltage, Current, and Resistance?

Every electrical circuit depends on three quantities working together: voltage, current, and resistance. Understanding each one—and the relationship among them—is the foundation of every task you will perform as an electrician.

Voltage (V) is the electrical pressure that pushes electrons through a conductor. Think of it like water pressure in a pipe. Voltage is measured in volts (V) using a voltmeter placed in parallel across the component you are measuring.

Current (I) is the flow of electrons through a conductor. Returning to the water analogy, current is the rate of flow. Current is measured in amperes (amps, A) using an ammeter placed in series with the circuit—meaning the current must flow through the meter.

Resistance (R) is the opposition to current flow. Every conductor, every component, and every load has some resistance. Resistance is measured in ohms (Ω) using an ohmmeter. Always de-energize and isolate a circuit before measuring resistance. Measuring resistance on an energized circuit will damage your meter and can injure you.

Ohm's Law

In 1827, Georg Simon Ohm demonstrated that voltage, current, and resistance are linked by a simple, reliable relationship:

V = I × R

This single equation has three forms depending on which quantity is unknown:

A common memory aid is the Ohm's Law triangle: write V on top, I and R side by side on the bottom. Cover the unknown with your finger and the remaining two quantities show the operation.

Ohm's Law applies to resistive (linear) loads—resistors, heating elements, and incandescent lamps—under steady-state DC conditions. It is equally valid in AC resistive circuits. It does not directly describe reactive components such as capacitors and inductors, which you will study in later modules.

Setting Up a Simple Resistive Circuit

In today's lab you will build four single-resistor circuits on terminal-strip trainers using a DC regulated bench power supply. Each circuit has one resistor connected between the positive and negative terminals of the supply. This forms a complete loop: electrons leave the negative terminal of the supply, flow through the resistor, and return to the positive terminal.

Before you energize any circuit:

1. Have your lab partner inspect the wiring.

2. Set the power supply to 0 V before connecting leads.

3. Confirm the resistor value using the color-code chart in your NCCER Level 1 textbook.

4. Record your predicted V, I, and R values in your lab log before measuring.

Measuring Voltage and Current

To measure voltage: Set your digital multimeter (DMM) to DC volts, select a range higher than the expected reading, and touch the probes across (in parallel with) the resistor. Red probe to the higher-potential side, black to the lower.

To measure current: Set your DMM to DC amps (mA range for small currents), break the circuit at one point, and insert the meter in series so all current flows through it. Re-check your range—an overloaded ammeter can blow the meter's internal fuse.

To measure resistance: Power supply OFF and leads disconnected from the supply. Set DMM to ohms, touch probes across the resistor. If the resistor is still in-circuit, other parallel paths can cause a false reading; when in doubt, remove one lead of the resistor before measuring.

Percent Error and Error Analysis

No measurement is perfect. Meters have a specified accuracy (typically ±0.5 % to ±2 % for a quality DMM), resistors have a tolerance (usually ±5 % for carbon-film), and connection resistance adds a small amount. You calculate percent error to judge whether a discrepancy is within acceptable limits:

% Error = |Measured − Calculated| ÷ Calculated × 100

If your percent error is within ±5 %, your circuit and measurement technique are correct. If it exceeds ±5 %, check: wrong resistor value, loose terminal connection, incorrect meter range, or meter probes in wrong jacks.

Safety Rules for This Lab

Key terms9

Voltage (V)Electrical potential difference, measured in volts; the force that drives current through a circuit.
Current (I)The rate of electron flow through a conductor, measured in amperes (amps).
Resistance (R)The opposition to current flow in a circuit, measured in ohms (Ω).
Ohm's LawThe relationship V = IR stating that voltage equals current multiplied by resistance; applies to resistive circuits under steady-state conditions.
Percent ErrorA calculation—|measured − calculated| ÷ calculated × 100—that expresses how far a measurement deviates from the expected value.
Series connectionA circuit arrangement in which components are connected end-to-end so that the same current flows through each; required when inserting an ammeter.
Parallel connectionA circuit arrangement in which components share the same two nodes so that the same voltage appears across each; required when connecting a voltmeter.
Resistor toleranceThe manufacturer's stated allowable variation from a resistor's labeled value, commonly ±5 % for carbon-film resistors.
Lockout/Tagout (LOTO)An OSHA-required procedure to de-energize and physically lock equipment so it cannot be re-energized while workers are performing maintenance or wiring tasks.

Worked examples4

1. A resistor with R = 470 Ω is connected to a 9 V DC supply. What current flows through it?
  1. Write the formula for current: I = V ÷ R
  2. Substitute known values: I = 9 V ÷ 470 Ω
  3. Divide: I = 0.01915 A
  4. Express in milliamps for easier reading: 0.01915 A × 1000 = 19.15 mA
Answer: I ≈ 19.1 mA (0.0191 A)
2. A technician measures 0.025 A flowing through a resistor and reads 12 V across it. What is the resistance?
  1. Write the formula for resistance: R = V ÷ I
  2. Substitute known values: R = 12 V ÷ 0.025 A
  3. Divide: R = 480 Ω
Answer: R = 480 Ω
3. A 1,000 Ω (1 kΩ) resistor carries 0.006 A. What voltage appears across it?
  1. Write the formula for voltage: V = I × R
  2. Substitute known values: V = 0.006 A × 1000 Ω
  3. Multiply: V = 6 V
Answer: V = 6 V
4. A student calculates that a circuit should draw 20 mA but measures 20.8 mA. Is the measurement within the ±5 % lab tolerance?
  1. Convert measured value to the same unit as calculated: measured = 20.8 mA, calculated = 20.0 mA
  2. Apply percent error formula: % Error = |20.8 − 20.0| ÷ 20.0 × 100
  3. Calculate numerator: |20.8 − 20.0| = 0.8 mA
  4. Divide and multiply: 0.8 ÷ 20.0 × 100 = 4.0 %
  5. Compare to tolerance: 4.0 % < 5 %, so the result is within tolerance.
Answer: % Error = 4.0 %; the measurement is within the ±5 % tolerance and is acceptable.

The math in this lesson2

Learners rearrange Ohm's law to find current, resistance or voltage and check a 20.8 mA reading against ±5%.
N-Q.1A-CED.4
Brush up in the math halls at newSchoolWorks.com:
In class: Lecture and worked examples: instructor solves six progressively harder Ohm's Law problems on the board; students solve six matching problems independently and compare answers. · Lab build: students construct four separate single-resistor circuits on terminal-strip trainers with values chosen to produce measurable, safe voltages; they predict V, I, and R before measuring and record results in a structured lab log table. · Error analysis: students calculate percent error for each measurement, identify whether deviation is within meter tolerance, and write one sentence explaining any out-of-tolerance result.
Materials: Terminal-strip trainers; resistor assortment (1/4 W carbon film, various values); DC regulated bench power supply (0–30 V); digital multimeter; jumper leads; lab log notebooks; NCCER Level 1 textbook
Check: All four circuits measured with results within ±5% of calculated values; lab log entries complete and signed by instructor. Students who exceed ±5% on any circuit must rebuild and re-measure before advancing.

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

NCCER Electrical Level 1 — DC/AC Electrical Theory
1. According to Ohm's Law, if the resistance in a circuit doubles while the voltage stays constant, what happens to the current?
NCCER Electrical Level 1 — DC/AC Electrical Theory
2. A 220 Ω resistor is connected across a 12 V DC supply. What is the current through the resistor, rounded to the nearest milliamp?
NCCER Electrical Level 1 — Tools and Measurement
3. When connecting a digital multimeter to measure current in a resistive circuit, the meter must be placed:
NCCER Electrical Level 1 — DC/AC Electrical Theory
4. A student measures 8.6 V across a resistor that was calculated to have 8.0 V across it. What is the percent error?
OSHA 10 — Electrical Safety / NCCER Level 1 — Tools and Measurement
5. Before measuring resistance with a DMM, the technician must:
OSHA 10 — Electrical Safety
6. Which OSHA procedure must be applied in the field before a worker performs wiring or maintenance on equipment that could be re-energized?
NCCER Electrical Level 1 — DC/AC Electrical Theory
7. A circuit has a 10 V supply and a measured current of 0.04 A. A technician uses R = V ÷ I to find resistance. What is the correct resistance?
NCCER Electrical Level 1 — DC/AC Electrical Theory / Lab Safety
8. A 1/4 W carbon-film resistor is rated at 330 Ω. A student connects it to a 15 V supply. What should the student do before energizing the circuit?
Record this lesson on my transcript. Sign in with your key and enrollment email to record lessons (enroll free if you have no key). This page stays open to read and practise.