184_notes:b_current

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184_notes:b_current [2018/10/18 15:48] – dmcpadden184_notes:b_current [2021/06/16 18:53] – [Magnetic field from Many Charges] bartonmo
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 Sections 17.2 and 17.6-17.8 in Matter and Interactions (4th edition) Sections 17.2 and 17.6-17.8 in Matter and Interactions (4th edition)
  
-[[184_notes:b_sup_comp|Next Page: Using Superposition of Magnetic Field and the Computer]]+/*[[184_notes:b_sup_comp|Next Page: Using Superposition of Magnetic Field and the Computer]]
  
-[[184_notes:perm_mag|Previous Page: Permanent Magnets]]+[[184_notes:perm_mag|Previous Page: Permanent Magnets]]*/
  
 ===== Currents Make Magnetic Fields ===== ===== Currents Make Magnetic Fields =====
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 We can now use the definition of [[184_notes:q_in_wires#conventional_current_vs_electron_current|current]] as the amount of charge passing a point per second ($I=\frac{dq}{dt}$) to give the Biot-Savart Law in terms of current instead of charge: We can now use the definition of [[184_notes:q_in_wires#conventional_current_vs_electron_current|current]] as the amount of charge passing a point per second ($I=\frac{dq}{dt}$) to give the Biot-Savart Law in terms of current instead of charge:
 $$\vec{B}_{tot}= \int \frac{\mu_0}{4 \pi}\frac{I \cdot d\vec{l}\times \hat{r}}{r^2}$$ $$\vec{B}_{tot}= \int \frac{\mu_0}{4 \pi}\frac{I \cdot d\vec{l}\times \hat{r}}{r^2}$$
-**Note that $I$ here is the //conventional// current**, not the electron current. Otherwise many of the pieces of this equation would be what you expected:+**Note that $I$ here is the conventional current, not the electron current**. Otherwise many of the pieces of this equation would be what you expected:
  
 [{{  184_notes:Week9_5.png?300|B field contribution of a little bit of length ($dl$) on point P}}] [{{  184_notes:Week9_5.png?300|B field contribution of a little bit of length ($dl$) on point P}}]
  • 184_notes/b_current.txt
  • Last modified: 2021/07/07 15:29
  • by schram45