Скачать или смотреть The Bridge Between Micro and Macro: I = nAevd Derivation

How does the slow "drift" of microscopic electrons translate into the instant flow of electricity we measure as Current? ⚡️

In this video, we bridge the gap between the microscopic world of electrons and the macroscopic world of electric circuits. We derive the fundamental relationship between Electric Current (I) and Drift Velocity (vd), resulting in the famous formula I = nAevd.

We break the derivation down into three simple steps:
1. Geometry: Defining the volume of a conductor segment.
2. Charge: Calculating the total free charge (Q) using number density (n).
3. Kinematics: Using speed and distance to find the time (t).

By combining these, we see how the length of the wire cancels out, leaving us with a direct link between electron speed and current!

🚀 Key Equations Derived:
• Total Charge: Q = nALe
• Time to cross: t = L / vd
• Final Formula: I = nAevd

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⏱️ Timestamps:
00:00 - Intro: Microscopic Drift vs. Macroscopic Current
00:15 - Visual Setup: Defining L, A, and Charge Density (n)
00:30 - Step 1: Calculating Total Charge (Q) in the segment
00:50 - Step 2: Calculating the Time Interval (t)
01:10 - Step 3: The Derivation (Substituting Q and t)
01:30 - Conclusion: What this formula tells us about electricity

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📚 Concepts Covered:
• Electric Current (I)
• Drift Velocity (vd)
• Number Density of Electrons (n)
• Elementary Charge (e)
• Physics of Conductors

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#Physics #Electricity #DriftVelocity #Current #ScienceEducation #DerivationVideo Title: Relation between Current and Drift Velocity (I = nAevd) | Physics Derivation

Description:

How does the slow "drift" of microscopic electrons translate into the instant flow of electricity we measure as Current? ⚡️

In this video, we bridge the gap between the microscopic world of electrons and the macroscopic world of electric circuits. We derive the fundamental relationship between Electric Current (I) and Drift Velocity (vd), resulting in the famous formula I = nAevd.

We break the derivation down into three simple steps:
1. Geometry: Defining the volume of a conductor segment.
2. Charge: Calculating the total free charge (Q) using number density (n).
3. Kinematics: Using speed and distance to find the time (t).

By combining these, we see how the length of the wire cancels out, leaving us with a direct link between electron speed and current!

🚀 Key Equations Derived:
• Total Charge: Q = nALe
• Time to cross: t = L / vd
• Final Formula: I = nAevd

---
⏱️ Timestamps:
00:00 - Intro: Microscopic Drift vs. Macroscopic Current
00:15 - Visual Setup: Defining L, A, and Charge Density (n)
00:30 - Step 1: Calculating Total Charge (Q) in the segment
00:50 - Step 2: Calculating the Time Interval (t)
01:10 - Step 3: The Derivation (Substituting Q and t)
01:30 - Conclusion: What this formula tells us about electricity

---
📚 Concepts Covered:
• Electric Current (I)
• Drift Velocity (vd)
• Number Density of Electrons (n)
• Elementary Charge (e)
• Physics of Conductors

🔔 Subscribe for more step-by-step Physics derivations!
#Physics #Electricity #DriftVelocity #Current #ScienceEducation #Derivation
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