- #1
Elbraido
- 17
- 1
Can someone tell or lead me to how we derive this forumla I=nqAv for current?
The formula for current is I = nqAv, where I represents the current, n represents the number of charge carriers, q represents the charge of each carrier, A represents the cross-sectional area of the conductor, and v represents the average drift velocity of the charge carriers.
The formula for current can be derived using the equation I = Q/t, where Q represents the total charge passing through a cross-sectional area in a given time period t. By substituting the formula for charge Q = nq, where n is the number of charge carriers and q is the charge of each carrier, and the formula for velocity v = d/t, where d is the distance traveled in time t, we get the formula I = nqAv.
I represents the current, n represents the number of charge carriers, q represents the charge of each carrier, A represents the cross-sectional area of the conductor, and v represents the average drift velocity of the charge carriers.
The formula for current, I = nqAv, is directly related to Ohm's Law, which states that the current through a conductor is directly proportional to the voltage and inversely proportional to the resistance. In the formula I = nqAv, the voltage is represented by the drift velocity v, and the resistance is represented by the cross-sectional area A.
The units for current I are amperes (A), the units for number of charge carriers n are in units of particles per cubic meter (m^{-3}), the units for charge q are in coulombs (C), the units for cross-sectional area A are in square meters (m^{2}), and the units for average drift velocity v are in meters per second (m/s).