How do we derive this forumla I=nqAv for current?

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SUMMARY

The formula for electric current, I = nqAv, is derived from the relationship between electron density (n), charge of an electron (q), cross-sectional area of the wire (A), and drift velocity (v). In this equation, I represents the total current flowing through a conductor. The derivation involves understanding the movement of charge carriers within the wire and their contribution to the overall current. For detailed explanations, refer to the resource provided at HyperPhysics.

PREREQUISITES
  • Understanding of electric current and its units
  • Familiarity with electron density and its significance
  • Knowledge of drift velocity and its calculation
  • Basic concepts of charge and its measurement (specifically the charge of an electron)
NEXT STEPS
  • Study the derivation of the continuity equation in electromagnetism
  • Learn about the relationship between drift velocity and electric field strength
  • Explore the impact of temperature on electron density in conductors
  • Investigate the applications of the formula I = nqAv in semiconductor physics
USEFUL FOR

Students of physics, electrical engineers, and anyone interested in understanding the fundamentals of electric current and its mathematical representation.

Elbraido
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Can someone tell or lead me to how we derive this formula I=nqAv for current?
 
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