Domanda del libro di testo
The electron drift speed is 2.0 X 10⁻⁴ m/s in a metal with a mean time between collisions of 5.0 x 10⁻¹⁴. What is the electric field strength?
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Ch 27: Current and Resistance
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796
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TOC.tableOfContents
- Ch 01: Concepts of Motion35
- Ch 02: Kinematics in One Dimension75
- Ch 03: Vectors and Coordinate Systems58
- Ch 04: Kinematics in Two Dimensions60
- Ch 05: Force and Motion23
- Ch 06: Dynamics I: Motion Along a Line53
- Ch 07: Newton's Third Law27
- Ch 08: Dynamics II: Motion in a Plane52
- Ch 09: Work and Kinetic Energy56
- Ch 10: Interactions and Potential Energy50
- Ch 11: Impulse and Momentum56
- Ch 12: Rotation of a Rigid Body71
- Ch 13: Newton's Theory of Gravity52
- Ch 14: Fluids and Elasticity44
- Ch 15: Oscillations55
- Ch 16: Traveling Waves37
- Ch 17: Superposition39
- Ch 18: A Macroscopic Description of Matter53
- Ch 19: Work, Heat, and the First Law of Thermodynamics60
- Ch 20: The Micro/Macro Connection53
- Ch 21: Heat Engines and Refrigerators34
- Ch 22: Electric Charges and Forces40
- Ch 23: The Electric Field39
- Ch 24: Gauss' Law32
- Ch 25: The Electric Potential63
- Ch 26: Potential and Field57
- Ch 27: Current and Resistance42
- Ch 28: Fundamentals of Circuits39
- Ch 29: The Magnetic Field47
- Ch 30: Electromagnetic Induction60
- Ch 31: Electromagnetic Fields and Waves32
- Ch 32: AC Circuits63
- Ch 33: Wave Optics32
- Ch 34: Ray Optics57
- Ch 35: Optical Instruments30
- Ch 36: Special Relativity38
- Ch 37: The Foundations of Modern Physics25
- Ch 38: Quantization49
- Ch 39: Wave Functions and Uncertainty31
- Ch 40: One-Dimensional Quantum Mechanics35
- Ch 41: Atomic Physics18
- Ch 42: Nuclear Physics27
Knight Calc5th EditionPhysics for Scientists and EngineersISBN: 9780137344796Non è quello che usi tu?Cambia libro di testo
Capitolo 27, Problema 8c
The mean time between collisions for electrons in a gold wire is 25 fs, where 1 fs = 1 femtosecond = 10⁻¹⁵ s. How many times does the electron collide with an ion while moving this distance?
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Understand the problem: The mean time between collisions (τ) is given as 25 fs, and we need to determine how many collisions occur over a certain time or distance. This requires understanding the relationship between time, velocity, and collisions.
Convert the given mean time between collisions into seconds: Since 1 femtosecond (fs) = 10⁻¹⁵ seconds, multiply 25 fs by 10⁻¹⁵ to express τ in seconds.
Determine the total time or distance over which the electron is moving (if not explicitly given, assume a hypothetical time or distance for calculation). The number of collisions is calculated as the total time divided by the mean time between collisions.
Use the formula for the number of collisions: \( N = \frac{T}{\tau} \), where \( T \) is the total time of motion and \( \tau \) is the mean time between collisions. Substitute the values into this formula.
Interpret the result: The calculated \( N \) represents the number of collisions the electron undergoes while moving over the specified time or distance. Ensure the units are consistent throughout the calculation.
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Concetti chiave
Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.
Mean Free Path
The mean free path is the average distance a particle travels between collisions. In the context of electrons in a conductor, it helps determine how often electrons interact with ions or other particles. This concept is crucial for understanding electrical conductivity and the behavior of charge carriers in materials.
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Percorso guidato
08:20
Mean Free Path
Collision Frequency
Collision frequency refers to the number of collisions a particle experiences per unit time. For electrons in a conductor, this is influenced by factors such as temperature and the density of ions. Understanding collision frequency is essential for calculating how many times an electron collides with ions over a given distance.
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05:08Circumference, Period, and Frequency in UCM
Drift Velocity
Drift velocity is the average velocity that a charged particle, such as an electron, attains due to an electric field. It is a key factor in determining how far an electron travels in a given time frame. By knowing the drift velocity and the mean time between collisions, one can calculate the total distance traveled and the number of collisions that occur.
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Percorso guidato
7:27Escape Velocity
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