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I can explain why the resistance of a metal filament changes as the p.d. across it increases.
Muuji qoraalka
As the p.d. across a filament lamp increases, it gets hotter and current through it increases in a non-ohmic way.
The greater the p.d. across a filament lamp, the greater its resistance.
A metal is made of a lattice of positively charged ions with negatively charged electrons between.
As a current flows through metal, electrons moving through the ion lattice cause it to vibrate more vigorously.
The more vigorously the ions (ion lattice) vibrate, the hotter the metal and the higher its resistance.
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