Final answer:
To cause an increase in the resistance of a wire, you can increase its temperature, use a longer wire, or use a thinner wire; all of these changes affect resistance.
Step-by-step explanation:
The changes that would cause an increase in the resistance of a wire are:
- Increasing its temperature: As the temperature of a wire increases, so does its resistivity, leading to an increase in resistance.
- Using a longer wire: Resistance is directly proportional to the length of the wire. A longer wire will have higher resistance, as there is more material for the electric current to pass through.
- Using a thinner wire: Resistance is inversely proportional to the cross-sectional area of the wire. A thinner wire has a smaller cross-sectional area, which increases the resistance.
Therefore, options 1, 2, and 3 would all result in an increase in resistance.