Current Electricity
Class 12 · Current Electricity

R(T) — Materials Compared

Cu, Fe, W (positive α) vs Si (negative α). Linear plot.

Key Notes

01

Metals: R(T) = R₀(1 + αΔT). α > 0 — resistance increases with T.

02

Semiconductors and insulators: α < 0 — resistance DECREASES with T (more carriers thermally generated).

03

Superconductors: R = 0 below critical temperature T_c.

Formulas

Linear approximation

Valid for small ΔT.

Exponential (semiconductor)

More accurate for non-metals.

Important Points

Cu α ≈ 4 × 10⁻³/K. Si α negative and large in magnitude.

Light bulbs draw a surge current at switch-on (cold filament has lower R).

R(T) — Materials Compared notes from sciphylab (also known as SciPhy, SciPhy Lab, SciPhy Labs, Physics Lab). Class 12 physics revision for JEE Mains, JEE Advanced, NEET UG, AP Physics 1/2/C, SAT, and CUET-UG.