A weight, oscillating freely on a spring, has moved from a distance of 0.5 cm from its equilibrium position to the largest one, equal to 1 cm, for a time of 0.01 s. What is the period of its oscillations?
<h3 id="back-link"><a href="/#9.3">$\leftarrow$Back</a></h3>
<h3> Statement </h3>
<p>
$9.3.2$
Find the magnetic field induction inside a flat capacitor moving at a speed of 9 m/s parallel to its plates. The distance between the plates is 10 mm, and voltage across them is 10 kV.
</p>
<h3>Solution</h3>
<p>
It's known that
$$\vec{B} = \frac{\vec{v} \times \vec{E}}{c^2}$$
as $\vec{E} \perp \vec{v}$,
$$B = \frac{vE}{c^2}$$
In this case, $U = Ed$, where $d$ is distance between plates, so
$$B = \frac{vU}{dc^2}$$
</p>
<h4>Answer</h4>
<p>
$$B = 10^{-10}\~{\rm{T}}$$
</p>
<p style="text-align: right; font-style: italic; font-size: 14;">
BSc. Luis Daniel Fernández Quintana<br>
Physics Department (FCNE)<br>
Universidad de Oriente, Cuba<br>
</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> alex@savchenkosolutions.com <br></small>
</p>
</footer>
Savchenko Solutions