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R = ρL/A

Key Concepts — R = ρL/A

01

R = ρL/A — proportional to length, inversely proportional to cross-section.

02

Resistivity ρ is material-dependent: copper ~1.7 × 10⁻⁸ Ω·m, nichrome ~1.1 × 10⁻⁶ Ω·m.

03

Stretching a wire to length nL keeps mass constant → A drops to A/n → R becomes n²R.