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Resistance and Ohm's Law

Ohm's law, V = IR, links voltage, current and resistance in a resistor.

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Resistance opposes current. For an ohmic conductor:

V=IRV = I R

So I=V/RI = V/R and R=V/IR = V/I. Example: a 5 V supply across a 220 Ω resistor drives I=5/220≈22.7I = 5/220 \approx 22.7 mA.

Resistance of a wire depends on its material and shape:

R=ρLAR = \rho \frac{L}{A}

where ρ\rho is resistivity (copper ≈ 1.68×10−81.68 \times 10^{-8} Ω·m), LL the length and AA the cross-sectional area. Conductance G=1/RG = 1/R is measured in siemens (S).

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