File:Lorentz force.svg
Summary
Lorentz force. This diagram illustrates the behavior of a charged particle q moving with velocity v in a magnetic field B. The latter is oriented out of the page, as indicated by the dot in the circle. The particle is accelerated by the Lorentz force, with its behavior determined by the formula:
- <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/28d0fa6d8c3406bfffa1fa91381882cfe70966cd" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -1.838ex; width:19.958ex; height:4.843ex;" alt="{\displaystyle F=qE+{\frac {q}{c}}\left[v\times B\right]}">
where F is the force vector, E is the electrical field, and c is the speed of light. The × symbol represents the mathematical curl operator. The direction of the electron's curved path is determined by the sign of its charge, which modifies the sign of the v × B in the formula above.
Licensing
Lua error in package.lua at line 80: module 'strict' not found.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 17:35, 3 January 2017 | | 675 × 550 (10 KB) | 127.0.0.1 (talk) | Lorentz force. This diagram illustrates the behavior of a charged particle <i>q</i> moving with velocity <i>v</i> in a magnetic field <i>B</i>. The latter is oriented out of the page, as indicated by the dot in the circle. The particle is accelerated by the Lorentz force, with its behavior determined by the formula: <dl><dd><span><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>F</mi><mo>=</mo><mi>q</mi><mi>E</mi><mo>+</mo><mrow class="MJX-TeXAtom-ORD"><mfrac><mi>q</mi><mi>c</mi></mfrac></mrow><mrow><mo>[</mo><mi>v</mi><mo>×<!-- × --></mo><mi>B</mi><mo>]</mo></mrow></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle F=qE+{\frac {q}{c}}\left[v\times B\right]}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/28d0fa6d8c3406bfffa1fa91381882cfe70966cd" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -1.838ex; width:19.958ex; height:4.843ex;" alt="{\displaystyle F=qE+{\frac {q}{c}}\left[v\times B\right]}"></span></dd></dl> where <i>F</i> is the force vector, <i>E</i> is the electrical field, and <i>c</i> is the speed of light. The × symbol represents the mathematical curl operator. The direction of the electron's curved path is determined by the sign of its charge, which modifies the sign of the <i>v</i> × <i>B</i> in the formula above. |
- You cannot overwrite this file.
File usage
The following 2 pages link to this file:
