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Athin wire has resistance than a thick wire,
A short wire has resistance than a long wire
A warm wire has resistance than a cool wire,
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A thin wire has a higher resistance than a thick wire

A short wire has a lower resistance than a long wire

A warm wire has a higher resistance than a cool wire

Explanation:

Here we have the formula for resistance by diameter given as follows

Where:

R = Resistance

ρ = Resistivity of the wire

l = Length of the wire

d = Diameter of the wire

a. Therefore, since resistance is inversely proportional to diameter of the wire, a thin wire

A thin wire produces a higher resistance value than a thicker wire with larger diameter, d

b. Also as resistance is directly proportional to the length of the wire, a long wire has a higher resistance value than a short wire

c. The formula for resistance of a wire with temperature is as follows;

Where:

R₀ = Copper resistance at 20°

= Copper resistance at temperature T

T = Copper conductor temperature

T₂₀ = 20°

α = Copper coefficient of resistivity

Therefore, as the temperature increase, the resistance increases.