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How do you derive the formula V = IR?

GeneralClass 12AllAnswered 27 Mar 2026
Answer

The derivation comes from the definition of resistance:

  1. Resistance is defined as: R = V/I (the ratio of voltage to current)
  2. Multiply both sides by I: R × I = V
  3. Rearrange: V = I × R (or V = IR)

This mathematical relationship was discovered experimentally by Georg Ohm in 1827, showing that voltage and current are proportional for most conductors at constant temperature.

General · Class 12