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184_notes:q_path [2018/05/15 16:28] – curdemma | 184_notes:q_path [2019/01/04 03:17] – dmcpadden | ||
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Section 20.1 in Matter and Interactions (4th edition) | Section 20.1 in Matter and Interactions (4th edition) | ||
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==== Path of the Moving Charge ==== | ==== Path of the Moving Charge ==== | ||
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Let's start by considering a charge moving to the left ($-\hat{x}$ direction) in a magnetic field that points into the page ($-\hat{z}$ direction). Using the right hand rule, we can figure out that the force on this charge is down ($-\hat{y}$ direction). So what does this mean for the path of our charge? We can use the [[183_notes: | Let's start by considering a charge moving to the left ($-\hat{x}$ direction) in a magnetic field that points into the page ($-\hat{z}$ direction). Using the right hand rule, we can figure out that the force on this charge is down ($-\hat{y}$ direction). So what does this mean for the path of our charge? We can use the [[183_notes: | ||
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$$\vec{p}_f | $$\vec{p}_f | ||
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This means that if our magnetic force is pushing the charge down for a short time, the velocity of the charge will then point slightly down. If we do the same process at the next location and the next location (it turns out a computer is pretty good at doing these calculations), | This means that if our magnetic force is pushing the charge down for a short time, the velocity of the charge will then point slightly down. If we do the same process at the next location and the next location (it turns out a computer is pretty good at doing these calculations), | ||
==== Work Done ==== | ==== Work Done ==== | ||
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You may be wondering if there is a magnetic potential energy associated with the magnetic field (after all [[184_notes: | You may be wondering if there is a magnetic potential energy associated with the magnetic field (after all [[184_notes: |