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Ohm's Law Triangle and Calculator

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How to Use

Click any coloured section of the triangle to choose which quantity to solve for — that section goes dark with a ?.

Section clicked Solves for Formula used
Top (amber) — V Voltage \(V = I \times R\)
Bottom-left (blue) — I Current \(I = V / R\)
Bottom-right (green) — R Resistance \(R = V / I\)

Drag the two sliders at the bottom to set the known values. The result and power (P) update immediately in the calculator panel on the right.

Ohm's Law

\[V = I \times R\]
Symbol Quantity SI Unit
V Voltage (potential difference) Volt (V)
I Current Ampere (A)
R Resistance Ohm (Ω)

Rearranged:

\[I = \frac{V}{R} \qquad R = \frac{V}{I}\]

Power

Power is always shown as a bonus calculation:

\[P = V \cdot I = I^2 R = \frac{V^2}{R}\]
Unit Equivalents
1 W = 1 V·A 1 mW = 0.001 W

The Triangle Mnemonic

Cover the quantity you want to find — the remaining two show what to do:

  • Cover V → multiply the other two: \(I \times R\)
  • Cover I → divide top by bottom-right: \(V / R\)
  • Cover R → divide top by bottom-left: \(V / I\)