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describe the difference between resistance and resistivity
resistance = the specific current oppositions of specific components
resistivity = an electrical property of specific materials
what is the resistance of a wire affected by?
the material of the wire
the temperature of the wire
the length of the wire
the cross-sectional area of the wire
describe how the temperature of a wire affects its resistance
high temperature
more kinetic energy
larger vibrations
more collisions
higher resistance
describe how the length of a wire affects its resistance
longer wire
more positive ions
more collisions
higher resistance
describe how the cross-sectional area of a wire affects its resistance
larger cross-sectional area
more pathways for electrons to travel through
lower resistance
describe how to derive the formula for resistivity from resistance
resistance = directly proportional to the length of the wire
R ∝ L
resistance = inversely proportional to the cross-sectional area of the wire
R ∝ 1 / A
therefore
R = L / A
R = (ρL) / A
ρ = (RA) / L
resistivity (Ωm) = (resistance (Ω) x cross-sectional area (A)) / length (m)