The resistance of a filament lamp increases at higher voltages.
The increase in voltage leads to an increase in current, which heats up the filament and increases the resistance.
The increased temperature causes the atoms in the filament to vibrate more, making it more difficult for electrons to pass through and increasing the resistance.
At constant temperature, the resistance (R) of a conductor is inversely related to its cross-sectional area (A). This is expressed by the formula: R = ρ × L / A
where:
R is the resistance
ρ (rho) is the resistivity of the material
L is the length of the conductor
A is the cross-sectional area
As the cross-sectional area (A) increases, the resistance (R) decreases, and vice versa. This is why thicker wires have lower resistance than thinner wires.
Covalent network crystals, also known as giant covalent structures, are solids in which each atom is covalently bonded to its neighbors, forming a continuous network of chemical bonds.
Examples include diamond, graphite, and silicon carbide.
These materials have very high melting points due to the strong covalent bonds that hold them together.