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<meta name="description" content="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.">
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<meta property="og:description" content="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.">
<title>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?</title>
+
<title>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.</title>
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
<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>
<meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda">
<meta name="keywords" content="Savchenko Problems in Physics, Savchenko solutions, physics problems, physics olympiad preparation, IPhO, Jaan Kalda">
<meta name="description" content="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.">
<meta name="description" content="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.">
<meta property="og:title" content="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.">
<meta property="og:title" content="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.">
@@ -13,7 +13,7 @@
<meta property="og:image" content="img/logo.png">
<meta property="og:image" content="img/logo.png">
<meta property="og:description" content="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.">
<meta property="og:description" content="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.">
<title>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?</title>
<title>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.</title>
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.
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>
</p>
<h3>Solution</h3>
<h3>Solution</h3>
<p>
<p>
It's known that
It's known that
$$\vec{B} = \frac{\vec{v}\times\vec{E}}{c^2}$$
$$\vec{B} = \frac{\vec{v}\times\vec{E}}{c^2}$$
as $\vec{E}\perp\vec{v}$,
as $\vec{E}\perp\vec{v}$,
$$B = \frac{vE}{c^2}$$
$$B = \frac{vE}{c^2}$$
In this case, $U = Ed$, where $d$ is distance between plates, so
In this case, $U = Ed$, where $d$ is distance between plates, so
<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>
<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>
