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<meta name="description" content="In a cathode-ray tube, electrons with an initial horizontal velocity v fly into the region of an electric field of length l, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance y compared to the case of uncharged plates? The screen is located at a distance L from the center of the area of action of the electric force. The mass of the electron is m_e.">
<meta property="og:title" content="In a cathode-ray tube, electrons with an initial horizontal velocity v fly into the region of an electric field of length l, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance y compared to the case of uncharged plates? The screen is located at a distance L from the center of the area of action of the electric force. The mass of the electron is m_e.">
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@@ -14,9 +14,9 @@
<meta property="og:description" content="In a cathode-ray tube, electrons with an initial horizontal velocity v fly into the region of an electric field of length l, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance y compared to the case of uncharged plates? The screen is located at a distance L from the center of the area of action of the electric force. The mass of the electron is m_e.">
<title>In a cathode-ray tube, electrons with an initial horizontal velocity v fly into the region of an electric field of length l, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance y compared to the case of uncharged plates? The screen is located at a distance L from the center of the area of action of the electric force. The mass of the electron is m_e.</title>
$2.1.3.$ In a cathode-ray tube, electrons with an initial horizontal velocity $v$ fly into the region of an electric field of length $l$, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance $y$ compared to the case of uncharged plates? The screen is located at a distance $L$ from the center of the area of action of the electric force. The mass of the electron is $m_e$.
$$ v_y = \frac{2y}{t}\text{, where }t = \frac{l}{v},\; (2) $$
therefore, the vertical component of the velocity
$$ v_y = \frac{2yv}{l}\; (3) $$
Substituting (2) and (3) into (1), we obtain
$$ F_{el} = \frac{2ym_ev^2}{l^2}\; (4) $$
After leaving the plates, the electron continues to move by inertia. The tangent of the angle at which the electron flies to the horizontal after leaving the plates is equal to
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<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="In a cathode-ray tube, electrons with an initial horizontal velocity v fly into the region of an electric field of length l, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance y compared to the case of uncharged plates? The screen is located at a distance L from the center of the area of action of the electric force. The mass of the electron is m_e.">
<meta name="description" content="In a cathode-ray tube, electrons with an initial horizontal velocity v fly into the region of an electric field of length l, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance y compared to the case of uncharged plates? The screen is located at a distance L from the center of the area of action of the electric force. The mass of the electron is m_e.">
<meta property="og:title" content="In a cathode-ray tube, electrons with an initial horizontal velocity v fly into the region of an electric field of length l, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance y compared to the case of uncharged plates? The screen is located at a distance L from the center of the area of action of the electric force. The mass of the electron is m_e.">
<meta property="og:title" content="In a cathode-ray tube, electrons with an initial horizontal velocity v fly into the region of an electric field of length l, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance y compared to the case of uncharged plates? The screen is located at a distance L from the center of the area of action of the electric force. The mass of the electron is m_e.">
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@@ -14,9 +14,9 @@
<meta property="og:description" content="In a cathode-ray tube, electrons with an initial horizontal velocity v fly into the region of an electric field of length l, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance y compared to the case of uncharged plates? The screen is located at a distance L from the center of the area of action of the electric force. The mass of the electron is m_e.">
<meta property="og:description" content="In a cathode-ray tube, electrons with an initial horizontal velocity v fly into the region of an electric field of length l, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance y compared to the case of uncharged plates? The screen is located at a distance L from the center of the area of action of the electric force. The mass of the electron is m_e.">
<title>In a cathode-ray tube, electrons with an initial horizontal velocity v fly into the region of an electric field of length l, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance y compared to the case of uncharged plates? The screen is located at a distance L from the center of the area of action of the electric force. The mass of the electron is m_e.</title>
<title>In a cathode-ray tube, electrons with an initial horizontal velocity v fly into the region of an electric field of length l, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance y compared to the case of uncharged plates? The screen is located at a distance L from the center of the area of action of the electric force. The mass of the electron is m_e.</title>
$2.1.3.$ In a cathode-ray tube, electrons with an initial horizontal velocity $v$ fly into the region of an electric field of length $l$, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance $y$ compared to the case of uncharged plates? The screen is located at a distance $L$ from the center of the area of action of the electric force. The mass of the electron is $m_e$.
$2.1.3.$ In a cathode-ray tube, electrons with an initial horizontal velocity $v$ fly into the region of an electric field of length $l$, where they are affected by a vertical force from charged deflecting plates. What is this force equal to if the electrons hitting the screen are displaced by a distance $y$ compared to the case of uncharged plates? The screen is located at a distance $L$ from the center of the area of action of the electric force. The mass of the electron is $m_e$.
$$ v_y = \frac{2y}{t}\text{, where }t = \frac{l}{v},\; (2) $$
$$ v_y = \frac{2y}{t}\text{, where }t = \frac{l}{v},\; (2) $$
therefore, the vertical component of the velocity
therefore, the vertical component of the velocity
$$ v_y = \frac{2yv}{l}\; (3) $$
$$ v_y = \frac{2yv}{l}\; (3) $$
Substituting (2) and (3) into (1), we obtain
Substituting (2) and (3) into (1), we obtain
$$ F_{el} = \frac{2ym_ev^2}{l^2}\; (4) $$
$$ F_{el} = \frac{2ym_ev^2}{l^2}\; (4) $$
After leaving the plates, the electron continues to move by inertia. The tangent of the angle at which the electron flies to the horizontal after leaving the plates is equal to
After leaving the plates, the electron continues to move by inertia. The tangent of the angle at which the electron flies to the horizontal after leaving the plates is equal to
<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>
