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Resistance Calculator

Known values
Resistance (Ω) —
Voltage (V)
—
Current (A)
—
Power dissipated (W)
—
Conductance (S)
—

Resistance equals voltage divided by current, R = V ÷ I. If you know power instead, use R = V² ÷ P or R = P ÷ I². For example, a 60 W lamp on a 120 V supply has a working resistance of 120² ÷ 60 = 240 Ω and draws 0.5 A.

About this tool

Hobbyists sizing a resistor, technicians checking a heating element and students working circuit problems all hit the same question: what resistance does this load present? This calculator takes any two of voltage, current and power and returns the resistance in ohms, along with the missing quantity, the power the part dissipates and its conductance in siemens. The working is printed below the result so each figure can be traced back to Ohm's law or the power relation. One limit to keep in mind: the numbers describe a load at the operating point you enter. Filaments, thermistors and motors change resistance with temperature and speed, so a cold multimeter reading of a bulb will be far lower than the value computed from its rated wattage.

How to use it

  1. Pick the pair you know

    Choose voltage and current, voltage and power, or power and current. Only the two matching fields are shown.

  2. Enter the values

    Type volts, amps or watts. Decimals are fine, so 0.02 A works for a 20 mA LED current.

  3. Read resistance and the rest

    The result shows ohms, then the third quantity, dissipated power and conductance, with the formula used.

Examples

12 V supply, 2 A load

Known values
Voltage and current
Voltage
12
Current
2

Result Resistance (Ω): 6
Voltage (V): 12
Current (A): 2
Power dissipated (W): 24
Conductance (S): 0.166667

  1. R = V ÷ I = 12 ÷ 2 = 6 Ω
  2. Conductance G = 1 ÷ R = 0.166667 S
  3. Check: V = 12 V, I = 2 A, P = 24 W

A 12 V source pushing 2 A through a load implies 6 Ω, and the load turns 24 W into heat.

60 W bulb on 120 V mains

Known values
Voltage and power
Voltage
120
Power
60

Result Resistance (Ω): 240
Voltage (V): 120
Current (A): 0.5
Power dissipated (W): 60
Conductance (S): 0.004167

  1. R = V² ÷ P = 120² ÷ 60 = 240 Ω
  2. Conductance G = 1 ÷ R = 0.004167 S
  3. Check: V = 120 V, I = 0.5 A, P = 60 W

The rated wattage and supply voltage give the filament's resistance while lit, 240 Ω, drawing half an amp.

10 W at 0.5 A

Known values
Power and current
Power
10
Current
0.5

Result Resistance (Ω): 40
Voltage (V): 20
Current (A): 0.5
Power dissipated (W): 10
Conductance (S): 0.025

  1. R = P ÷ I² = 10 ÷ 0.5² = 40 Ω
  2. Conductance G = 1 ÷ R = 0.025 S
  3. Check: V = 20 V, I = 0.5 A, P = 10 W

A part dissipating 10 W while carrying 0.5 A has 40 Ω of resistance and 20 V across it.

How it is calculated

R = V ÷ I = V² ÷ P = P ÷ I²; G = 1 ÷ R

R
resistance in ohms (Ω)
V
voltage across the part in volts
I
current through the part in amperes
P
power dissipated in watts
G
conductance in siemens

Ohm's law, V = I × R, links the three electrical quantities for a resistive load. Combining it with the power relation P = V × I gives two more forms: substituting I = V ÷ R yields P = V² ÷ R, and substituting V = I × R yields P = I² × R. Rearranging each for R gives the three formulas above. Once R is known the calculator back-solves the missing quantity, so all of V, I and P are shown, and reports conductance as the reciprocal of resistance.

When not to use it

  • Combining several resistors in series or parallel needs a network calculation, not a single-load formula.
  • AC circuits with inductors or capacitors have impedance, which these DC relations do not capture.
  • Reading a resistor's colour bands is a separate lookup, not a voltage and current problem.

Common mistakes

  • Entering milliamps as amps, which makes the resistance 1000 times too small.
  • Using a cold multimeter reading of a lamp or heater to predict its hot current draw.
  • Picking a resistor by ohms alone and ignoring the wattage it must dissipate.

Frequently asked questions

What resistor do I need for an LED on 5 V?

Subtract the LED's forward voltage from the supply, then divide by the target current. With a 2 V red LED at 20 mA on 5 V, enter 3 V and 0.02 A to get 150 Ω, dissipating 0.06 W, so a quarter-watt part is comfortable.

Why does a bulb measure lower than the calculated resistance?

Tungsten's resistance rises sharply with temperature. A 60 W, 120 V lamp works out at 240 Ω when lit, but a meter on the cold filament typically reads around a tenth of that. The rated-power figure describes the lamp while it is running.

What is conductance?

Conductance is the reciprocal of resistance, measured in siemens (S). A 6 Ω resistor has a conductance of about 0.1667 S. It is convenient when adding parallel branches, because conductances in parallel simply add.

Which formula should I pick if I know all three values?

Any pair gives the same answer for an ideal resistor. If your measurements disagree, the voltage and current pair is usually the most direct, since power ratings on labels are often nominal rather than measured.

Does this work for AC mains?

For purely resistive loads such as kettles, heaters and incandescent lamps, use RMS voltage and current and the result is correct. Motors, transformers and electronic supplies have reactance and power factor, so V ÷ I gives impedance rather than pure resistance.

How do I choose the resistor's power rating?

Look at the dissipated power shown in the results and pick a part rated for at least double that figure. A resistor burning 0.3 W should be a 1 W or at least ½ W type, not the common ¼ W size.

Cite this tool

Using this tool in an assignment, article or report? Copy a citation, or a link for your website.

APA

Tools Directory Editorial Team. (2026, October 27). Resistance Calculator. Tools Directory. Retrieved October 27, 2026, from https://tools.milunir.com/electronics-physics/resistors-and-capacitors/resistance-calculator/

MLA

Tools Directory Editorial Team. “Resistance Calculator.” Tools Directory, 27 Oct. 2026, https://tools.milunir.com/electronics-physics/resistors-and-capacitors/resistance-calculator/. Accessed 27 Oct. 2026.

Chicago

Tools Directory Editorial Team. “Resistance Calculator.” Tools Directory. Last modified October 27, 2026. Accessed October 27, 2026. https://tools.milunir.com/electronics-physics/resistors-and-capacitors/resistance-calculator/.

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