ElectriCalc

Free electrical engineering calculators — Ohm's Law, wire sizing, resistor color codes, voltage drop, LED resistors, and more.

Quick Answer

Ohm's Law: V = I × R. Enter any two of voltage, current, or resistance to solve for the third. Power: P = V × I.

Example: 12V supply with 100Ω resistor → I = 12/100 = 0.12A (120mA), P = 12 × 0.12 = 1.44W

Ohm's Law

Calculate voltage, current, resistance, and power using Ohm's Law and related formulas.

  • → Ohm's Law Calculator
  • → Electrical Power Calculator
  • → Voltage Divider Calculator
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Wire & Cable

Wire sizing, voltage drop calculations, ampacity charts, and conduit fill calculators for electrical wiring.

  • → Wire Size Calculator
  • → Voltage Drop Calculator
  • → Wire Ampacity Chart
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Resistor

Resistor color code decoder, SMD code calculator, LED resistor sizing, RC time constants, and inductance.

  • → Resistor Color Code Calculator
  • → SMD Resistor Code Calculator
  • → LED Resistor Calculator

What Is an Electrical Calculator?

An electrical calculator is an online tool that solves common electrical engineering equations -- Ohm's Law, power calculations, wire sizing, voltage drop, and component identification. Whether you are a homeowner wiring a new outlet, an electrician sizing cable for a subpanel, or a hobbyist building an LED circuit, electrical calculators eliminate manual math errors and provide instant, accurate results based on established formulas and NEC standards.

Electrical engineering calculations fall into three broad areas. Circuit analysis uses Ohm's Law (V = IR) and power equations (P = VI) to find unknown voltages, currents, resistances, or power dissipation given two known values. Wire and cable sizing ensures conductors can safely carry the required current over a given distance without excessive voltage drop or overheating -- critical for both NEC code compliance and efficient power delivery. Component identification covers resistor color codes, SMD markings, LED current limiting, and RC time constants for timing circuits.

ElectriCalc organizes fifteen free calculators into three categories: Ohm's Law (basic calculator, power calculator, voltage divider, current divider, series/parallel resistance), Wire and Cable (wire size, voltage drop, ampacity chart, wire resistance, conduit fill), and Resistor (color code decoder, SMD code calculator, LED resistor, RC time constant, inductor reactance). All tools run in your browser with no sign-up required and produce results with clear explanations of the formulas used.

Frequently Asked Questions

What is Ohm's Law?

Ohm's Law states that voltage (V) equals current (I) multiplied by resistance (R): V = I x R. It is the fundamental relationship in electrical circuits. Combined with the power equation P = V x I, you can solve for any unknown electrical quantity given two knowns. These relationships apply to all resistive (linear) DC circuits.

How do I choose the right wire size?

Wire size depends on the current load and wire run length. In the US, the NEC specifies ampacity ratings for each AWG size: 14 AWG for 15A, 12 AWG for 20A, 10 AWG for 30A circuits. For longer runs (over 50 feet), you may need to upsize to keep voltage drop below 3% on branch circuits or 5% total from the panel.

How do I read a resistor color code?

A standard 4-band resistor uses the first two bands as significant digits, the third band as a multiplier, and the fourth band as tolerance. The color sequence is: black=0, brown=1, red=2, orange=3, yellow=4, green=5, blue=6, violet=7, grey=8, white=9. For example, brown-black-red-gold = 10 x 100 = 1,000 ohms (1k) with 5% tolerance.

How do I calculate the resistor needed for an LED?

Use the formula: R = (V_supply - V_forward) / I_LED. A standard red LED has a forward voltage of about 2V and a typical current of 20mA. On a 5V supply: R = (5 - 2) / 0.02 = 150 ohms. Always round up to the next standard resistor value to avoid exceeding the LED's rated current.

What is voltage drop and why does it matter?

Voltage drop is the reduction in voltage along a conductor due to its resistance. Excessive voltage drop causes motors to run inefficiently, lights to dim, and sensitive electronics to malfunction. The NEC recommends no more than 3% drop on any branch circuit. Voltage drop increases with wire length and current, and decreases with larger wire gauge.

About ElectriCalc

ElectriCalc provides free, accurate electrical engineering calculators for hobbyists, students, electricians, and engineers. All tools run in your browser with no sign-up required.

Ohm's Law: The Foundation of Circuit Analysis

Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage across those points: V = I × R, where V is voltage in volts, I is current in amperes, and R is resistance in ohms. This simple relationship underpins virtually all DC circuit analysis. Combined with Joule's Law for power (P = V × I = I² × R = V² ÷ R), these four equations let you solve for any unknown given two knowns. In practice, Ohm's Law applies to resistive (linear) components; non-linear devices like diodes and transistors require additional models.

Wire Sizing and Voltage Drop

Selecting the correct wire gauge is critical for both safety and performance. In the US, wire sizes follow the American Wire Gauge (AWG) standard — counter-intuitively, lower AWG numbers indicate thicker wire. A 14 AWG copper wire is rated for 15 A, 12 AWG for 20 A, and 10 AWG for 30 A under standard residential installation conditions. Voltage drop occurs across wire resistance: V_drop = I × R_wire, where R_wire increases with wire length and decreases with wire cross-section. The NEC recommends limiting voltage drop to 3% for branch circuits and 5% total from service panel to outlet. Long wire runs (for solar panels, subpanels, or EV chargers) may require upsizing to meet this limit.

Resistor Color Codes and Component Identification

Through-hole resistors are marked with coloured bands that encode the resistance value and tolerance. A four-band resistor uses the first two bands as significant digits, the third as a multiplier, and the fourth as tolerance. The colour sequence (black=0, brown=1, red=2, orange=3, yellow=4, green=5, blue=6, violet=7, grey=8, white=9) must be memorised or looked up for manual decoding. SMD (surface-mount) resistors use a 3- or 4-digit numerical code: "103" means 10 × 10³ = 10,000 Ω (10 kΩ). LED resistors limit current to the LED's rated forward current (typically 20 mA for standard LEDs): R = (V_supply − V_forward) ÷ I_LED.

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