184_notes:resistivity

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184_notes:resistivity [2018/10/09 13:36] dmcpadden184_notes:resistivity [2018/10/09 13:38] dmcpadden
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 $$\Delta V =- \int_i^f \vec{E} \cdot \vec{dl}$$ $$\Delta V =- \int_i^f \vec{E} \cdot \vec{dl}$$
  
-[{{  184_notes:resistorefielddl.jpg?300|Electric field direction in a resistor (shown by the red arrow) and the dl vector shown by the blue arrow.}}]+[{{  184_notes:resistor_efield_dl.png?300|Electric field direction in a resistor (shown by the red arrow) and the dl vector shown by the blue arrow.}}]
  
 Because $\vec{E}$ would point along the length of the wire, we would want to integrate along the length of the wire, which would mean that $\vec{E}$ and $\vec{dl}$ would be parallel. This simplifies the dot product to just a multiplication, leaving: Because $\vec{E}$ would point along the length of the wire, we would want to integrate along the length of the wire, which would mean that $\vec{E}$ and $\vec{dl}$ would be parallel. This simplifies the dot product to just a multiplication, leaving:
  • 184_notes/resistivity.txt
  • Last modified: 2021/02/27 04:07
  • by bartonmo