Answer:
Decreasing the cross-sectional area of the wire will increase the resistance of the wire.
Increasing the length of the wire will increase the resistance of the wire.
Increasing the resistivity of the material the wire is composed of will increase the resistance of the wire.
Explanation:
The resistance of a wire is given by
[tex]R=\frac{\rho L}{A}[/tex]
where
[tex]\rho[/tex] is the resistivity of the material
L is the length of the wire
A is the cross-sectional area of the wire
From the formula we see:
- The resistance is directly proportional to the resistivity and to the length of the wire
- The resistance is inversely proportional to the cross-sectional area
This means that:
- The resistance increases when the resistivity of the material or the length of the wire is increased
- The resistance increases when the cross-sectional area of the wire is decreased
So the three correct options are
Decreasing the cross-sectional area of the wire will increase the resistance of the wire.
Increasing the length of the wire will increase the resistance of the wire.
Increasing the resistivity of the material the wire is composed of will increase the resistance of the wire.
