Added Luis's English solution of problems 10.2.11 and 10.2.12
en/10.2.11.md
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| + | }); | ||
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| + | </head> | ||
| + | <body style=""> | ||
| + | <header style="text-align:center;"> | ||
| + | <h2>Solutions of Savchenko Physics Textbook</h2> | ||
| + | <p class="author"> | ||
| + | Aliaksandr Melnichenka <br/> | ||
| + | October 2023 | ||
| + | </p> | ||
| + | </header> | ||
| + | |||
| + | <h3 id="back-link"><a href="../#10.2">$\leftarrow$Back</a></h3> | ||
| + | |||
| + | <h3> Statement </h3> | ||
| + | <p> | ||
| + | $10.2.11.$ Find the drift velocity of a particle with charge q in the magnetic field of induction B and the field of constant force F perpendicular to each other. | ||
| + | </p> | ||
| + | |||
| + | <h3>Solution</h3> | ||
| + | <p> | ||
| + | Drift velocity is achieved when particle's path is unaffected respect to force fields that acting over it. So, absolute values of these forces are equal and their directions are opposed. Hence, | ||
| + | </p> | ||
| + | <p style="text-align: center;"> | ||
| + | $F = q~v_d~B$ | ||
| + | </p> | ||
| + | <p style="text-align: center;"> | ||
| + | $v_d = \frac{F}{qB}$ | ||
| + | </p> | ||
| + | |||
| + | <h4>Answer</h4> | ||
| + | <p> | ||
| + | $$v_d = \frac{F}{qB}$$ | ||
| + | </p> | ||
| + | |||
| + | |||
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| + | <small> © <strong>Savchenko Solutions</strong>, 2023-2024 <br></small> | ||
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| + | <p> | ||
| + | <small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> astrosander01@gmail.com <br></small> | ||
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| + | </html> | ||
| @@ -0,0 +1,78 @@ | |||
| <!DOCTYPE html> | |||
| <html lang="en"> | |||
| <head> | |||
| <meta charset="utf-8"> | |||
| <meta name="viewport" content="width=device-width, initial-scale=1.0"> | |||
| <meta http-equiv="content-language" content="en"> | |||
| <meta name="keywords" content="solutions, savchenko, physics problems, olympiad physics, physics book"> | |||
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| <meta property="og:title" content="Savchenko Solutions"> | |||
| <meta property="og:image" content="img/logo.png"> | |||
| <meta property="og:description" content="A website with solutions to physics problems from Savchenko Textbook"> | |||
| <meta name="yandex-verification" content="6cfda41f74038368"> | |||
| <title>Savchenko Solutions</title> | |||
| <link rel="stylesheet" href="https://savchenko-physics.github.io/css/css-latex/style.css"> | |||
| <link rel="icon" href="https://savchenko-physics.github.io/img/logo.png" type="image/png"> | |||
| <script src="https://savchenko-physics.github.io/js/jquery-1.10.1.min.js"></script> | |||
| <script async src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_CHTML"></script> | |||
| <script type="text/x-mathjax-config"> | |||
| MathJax.Hub.Config({ | |||
| extensions: ['tex2jax.js'], | |||
| jax: ['input/TeX', 'output/HTML-CSS'], | |||
| tex2jax: { | |||
| inlineMath: [['$', '$'], ['$', '$']], | |||
| processEscapes: true, | |||
| processClass: 'tex2jax', | |||
| ignoreClass: 'html' | |||
| }, | |||
| showProcessingMessages: false, | |||
| messageStyle: 'none' | |||
| }); | |||
| </script> | |||
| </head> | |||
| <body style=""> | |||
| <header style="text-align:center;"> | |||
| <h2>Solutions of Savchenko Physics Textbook</h2> | |||
| <p class="author"> | |||
| Aliaksandr Melnichenka <br/> | |||
| October 2023 | |||
| </p> | |||
| </header> | |||
| <h3 id="back-link"><a href="../#10.2">$\leftarrow$Back</a></h3> | |||
| <h3> Statement </h3> | |||
| <p> | |||
| $10.2.11.$ Find the drift velocity of a particle with charge q in the magnetic field of induction B and the field of constant force F perpendicular to each other. | |||
| </p> | |||
| <h3>Solution</h3> | |||
| <p> | |||
| Drift velocity is achieved when particle's path is unaffected respect to force fields that acting over it. So, absolute values of these forces are equal and their directions are opposed. Hence, | |||
| </p> | |||
| <p style="text-align: center;"> | |||
| $F = q~v_d~B$ | |||
| </p> | |||
| <p style="text-align: center;"> | |||
| $v_d = \frac{F}{qB}$ | |||
| </p> | |||
| <h4>Answer</h4> | |||
| <p> | |||
| $$v_d = \frac{F}{qB}$$ | |||
| </p> | |||
| <footer class="row container"> | |||
| <br> | |||
| <p> | |||
| <small> © <strong>Savchenko Solutions</strong>, 2023-2024 <br></small> | |||
| </p> | |||
| <p> | |||
| <small>All rights belong to the authors. <br> Commercial use of materials - with the written permission of the authors. <br> astrosander01@gmail.com <br></small> | |||
| </p> | |||
| </footer> | |||
| </body> | |||
| </html> | |||