184_notes:moving_q

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184_notes:moving_q [2020/08/23 21:26] dmcpadden184_notes:moving_q [2020/10/27 15:28] dmcpadden
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 [{{  184_notes:Week9_2.png?200|Example set up}}] [{{  184_notes:Week9_2.png?200|Example set up}}]
  
-For example, consider a charge q moving in the $+\hat{x}$ direction. We want to know the magnetic field at point P that is a distance d away from the charge in the $\hat{y}$ direction at the instant the moving change is at the origin. Here, notice that must specific when we want to find the magnetic field as the change before or after that time will be at a different location -- it's moving, remember? We can find the magnetic field by using the equation above:+For example, consider a charge q moving in the $+\hat{x}$ direction. We want to know the magnetic field at point P, which is a distance d away from the charge in the $\hat{y}$ direction at the instant the moving change is at the origin (see the set up below). Here, notice that we must be specific about //when// we want to find the magnetic field. Because the charge is moving, it will be at a different location at different times -- our solution is only accurate for a particular time/location of the charge. We can find the magnetic field by using the equation above:
 $$\vec{B}=\frac{\mu_0}{4 \pi}\frac{q\vec{v}\times \vec{r}}{r^3}$$ $$\vec{B}=\frac{\mu_0}{4 \pi}\frac{q\vec{v}\times \vec{r}}{r^3}$$
 where our separation vector is $\vec{r}=d \hat{y}$ since it points from the charge to our point of interest. In this case then: where our separation vector is $\vec{r}=d \hat{y}$ since it points from the charge to our point of interest. In this case then:
  • 184_notes/moving_q.txt
  • Last modified: 2021/07/05 21:51
  • by schram45