184_notes:examples:week6_drift_speed

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184_notes:examples:week6_drift_speed [2017/09/26 15:57] – [Solution] tallpaul184_notes:examples:week6_drift_speed [2017/09/26 16:05] – [Solution] tallpaul
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 To find the cross-sectional area of the wire, we just use the area of a circle. We know the radius, so this should be easy: $A=\pi r^2$. To find the cross-sectional area of the wire, we just use the area of a circle. We know the radius, so this should be easy: $A=\pi r^2$.
  
-We are given current, and we can solve for electron current using the charge of an electron: $i = I/q$.+We are given current, and we can solve for electron current using the charge of an electron: $i = \frac{I}{q}$. 
 + 
 +We now have enough information to solve for the drift speed of electrons. We use positive numbers below, since we care only about speed for now, not direction. 
 + 
 +$$v_{avg} = \frac{I}{\pi r^2 n q}$$ 
 + 
 +Current ($I$), radius ($r$), electron density ($n$), and electron charge ($q$) are all things we know for our two wires. When we plug in the numbers, we get the following: 
 +\begin{align*} 
 +v_{\text{avg, Cu}} = 0.47 \text{ mm/s} &,& v_{\text{avg, Zn}} = 7.5 \text{ mm/s} 
 +\end{align*}
  • 184_notes/examples/week6_drift_speed.txt
  • Last modified: 2021/06/08 00:49
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