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World 1 · Foundations · 7 min

Rearranging Ohm’s Law

Solve for V, I or R

Teaching this? Open projector mode

One formula, three answers. The Ohm’s Law triangle is a memory trick that hides all three rearrangements in a single picture. Put V on top, with I and R side by side below. Cover the quantity you want, and the layout shows you the formula:

  • Cover V → the I and R sit side by side → V = I × R
  • Cover I → V sits over R → I = V / R
  • Cover R → V sits over I → R = V / I
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This is the everyday workflow when designing a circuit: you usually know two of the three values and need the third. Sizing an LED resistor? You know the voltage to drop and the current you want, so you cover R and solve. It becomes second nature fast.

Check yourself

An LED drops 2V and needs 0.02A. What resistor sets that current from a 5V supply?

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