Question

Use the drop-down menus to complete the sentences

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,
Done

Answer 1

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.

Step-by-step explanation:

Answer 2

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

Step-by-step explanation:

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

`R = (4 * \rho * l)/(\pi ) * (1)/(d^2)`

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;

`R_T = R_0 * [1 + \alpha * (T - T_(20))]`

Where:

R₀ = Copper resistance at 20°

`R_T` = Copper resistance at temperature T

T = Copper conductor temperature

T₂₀ = 20°

α = Copper coefficient of resistivity

Therefore, as the temperature increase, the resistance increases.