Resistivity Temperature
For metals, resistivity with temperature generally?
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About This Question
- Subject
- physics
- Chapter
- current electricity
- Topic
- resistivity temperature
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
Increases
- Microscopic View: As temperature increases, the thermal energy of the positive metal ions in the lattice increases, causing them to vibrate more vigorously.
- Collision Frequency: Increased vibrations lead to more frequent collisions between free electrons and the ions.
- Relaxation Time ((\tau)): Frequent collisions mean the average time between collisions (relaxation time) decreases.
- Resistivity Relation: ρ=ne2τm. Since τ decreases, resistivity ρ increases.
- Linear Approximation: For most metals, ρt=ρ0[1+α(t−t0)], where α is a positive temperature coefficient.
This easy difficulty physics question is from the chapter current electricity, covering the topic of resistivity temperature. It appeared in the 2025 exam.
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