Question
Which changes would cause an increase in the resistance of a wire? Check all that apply.
increasing its temperature
decreasing its temperature
using a longer wire
using a shorter wire
using a thicker wire
using a thinner wire
increasing its temperature
decreasing its temperature
using a longer wire
using a shorter wire
using a thicker wire
using a thinner wire
Answers
GPT-4o mini
The following changes would cause an increase in the resistance of a wire:
1. **Increasing its temperature** - As the temperature of a conductor increases, the atoms within the material vibrate more, which can impede the flow of electrons, leading to an increase in resistance.
2. **Using a longer wire** - Resistance is directly proportional to the length of the wire. A longer wire provides more material for the electrons to collide with, increasing resistance.
3. **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 resistance.
The other options (decreasing its temperature and using a shorter wire or a thicker wire) would lead to a decrease in the resistance of a wire.
1. **Increasing its temperature** - As the temperature of a conductor increases, the atoms within the material vibrate more, which can impede the flow of electrons, leading to an increase in resistance.
2. **Using a longer wire** - Resistance is directly proportional to the length of the wire. A longer wire provides more material for the electrons to collide with, increasing resistance.
3. **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 resistance.
The other options (decreasing its temperature and using a shorter wire or a thicker wire) would lead to a decrease in the resistance of a wire.