Answer:
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
[tex]R = \frac{4 \times \rho \times l}{\pi } \times \frac{1}{d^2}[/tex]
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;
[tex]R_T = R_0 \times [1 + \alpha \times (T - T_{20})][/tex]
Where:
R₀ = Copper resistance at 20°
[tex]R_T[/tex] = Copper resistance at temperature T
T = Copper conductor temperature
T₂₀ = 20°
α = Copper coefficient of resistivity
Therefore, as the temperature increase, the resistance increases.
Answer:
thin wire has
✔ more
resistance than a thick wire.
A short wire has
✔ less
resistance than a long wire.
A warm wire has
✔ more
resistance than a cool wire.
Explanation:
