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| Both sides previous revision Previous revision Next revision | Previous revision | ||
| 184_notes:examples:week10_helix [2021/07/07 15:37] – schram45 | 184_notes:examples:week10_helix [2021/07/07 15:42] (current) – schram45 | ||
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| Line 33: | Line 33: | ||
| <WRAP TIP> | <WRAP TIP> | ||
| ===Assumptions=== | ===Assumptions=== | ||
| - | Our assumptions about the Constant B-Field, charge, | + | Our assumptions about the Constant B-Field and chrage |
| </ | </ | ||
| This force would still push the particle into a circular motion (while still not affecting the particle' | This force would still push the particle into a circular motion (while still not affecting the particle' | ||
| Line 39: | Line 39: | ||
| So when we look at the motion of the particle from the perspective of $+y$ going into the page, we should see a circle with radius | So when we look at the motion of the particle from the perspective of $+y$ going into the page, we should see a circle with radius | ||
| $$r = \frac{mv_x}{qB} = 10 \text{ m}$$ | $$r = \frac{mv_x}{qB} = 10 \text{ m}$$ | ||
| + | <WRAP TIP> | ||
| + | ===Assumption=== | ||
| + | We assumed the mass was constant, and this allows for uniform circular motion in the x-z plane. If the mass were not constant then the path of the particle could look much different as the radius of curvature of the particle at any instance in time/space could change. | ||
| + | </ | ||
| However, because of the constant $\hat{y}$ component of the velocity, this circle is actually a helix. Two perspectives show the motion below. | However, because of the constant $\hat{y}$ component of the velocity, this circle is actually a helix. Two perspectives show the motion below. | ||
| [{{ 184_notes: | [{{ 184_notes: | ||