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Problem 2: An electron (mass m, charge -e) in a cathode-ray tube is accelerated through a potential difference of AV = 10 kV, then passes through the d = 2.0 cm wide region of uniform magnetic field shown in Fig.1. What field strength will deflect the electron by 10°? a) Find the expression for the speed o to which the electron is accelerated when moving between the electrodes in terms of AV, m, and e. Ov 10 kV X X X 2cm хх e OPI 10⁰ FIG. 1: The scheme for Problem 2 b) When crossing the region with magnetic field, the electron moves along a circular trajectory of radius r with the center at point O, as shown in Fig.1. Express r in terms of the size of the magnetic field region d and the angle 0. c) Using the formula for the radius of the cyclotron orbit, r = mg, and your answers to the previous B questions, work out a symbolic formula for B as a function of d, AV, 0, m and e.

Problem 2: An electron (mass m, charge -e) in a cathode-ray tube is accelerated through a potential difference of AV = 10 kV, then passes through the d = 2.0 cm wide region of uniform magnetic field shown in Fig.1. What field strength will deflect the electron by 10°? a) Find the expression for the speed o to which the electron is accelerated when moving between the electrodes in terms of AV, m, and e. Ov 10 kV X X X 2cm хх e OPI 10⁰ FIG. 1: The scheme for Problem 2 b) When crossing the region with magnetic field, the electron moves along a circular trajectory of radius r with the center at point O, as shown in Fig.1. Express r in terms of the size of the magnetic field region d and the angle 0. c) Using the formula for the radius of the cyclotron orbit, r = mg, and your answers to the previous B questions, work out a symbolic formula for B as a function of d, AV, 0, m and e.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I really need help with all of these problems because I keep getting the wrong the answer is there any chance you can help me with the problem and can you label them as well

**Problem 2:** An electron (mass \( m \), charge \(-e\)) in a cathode-ray tube is accelerated through a potential difference of \( \Delta V = 10 \, \text{kV} \), then passes through the \( d = 2.0 \, \text{cm} \) wide region of uniform magnetic field shown in Fig. 1. What field strength will deflect the electron by \( 10^\circ \)? a) Find the expression for the speed \( v \) to which the electron is accelerated when moving between the electrodes in terms of \( \Delta V \), \( m \), and \( e \). b) When crossing the region with the magnetic field, the electron moves along a circular trajectory of radius \( r \) with the center at point \( O \), as shown in Fig. 1. Express \( r \) in terms of the size of the magnetic field region \( d \) and the angle \( \theta \). c) Using the formula for the radius of the cyclotron orbit, \( r = \frac{mv}{eB} \), and your answers to the previous questions, work out a symbolic formula for \( B \) as a function of \( d \), \( \Delta V \), \( \theta \), \( m \), and \( e \). d) For the electron to be deflected by \( 10^\circ \) with respect to its original direction, the angle subtended by the circular part of its trajectory at point \( O \) has to be equal to \( \theta = 10^\circ \) (make sure that you understand why this is so). Use this and the numerical values of other parameters to compute \( B \). (Answer: \( B = 2.9 \, \text{mT} \)). --- **Figure 1: The scheme for Problem 2** The diagram shows an electron trajectory in a cathode-ray tube. The electron is represented as accelerating through a \( 10 \, \text{kV} \) potential, entering a magnetic field region of width \( d = 2.0 \, \text{cm} \). In this region, the electron's path curves due to the magnetic force, forming an arc with radius \( r \), centered at \( O \). The angle subtended by the arc at \( O \) is \( 10^\
Transcribed Image Text:**Problem 2:** An electron (mass \( m \), charge \(-e\)) in a cathode-ray tube is accelerated through a potential difference of \( \Delta V = 10 \, \text{kV} \), then passes through the \( d = 2.0 \, \text{cm} \) wide region of uniform magnetic field shown in Fig. 1. What field strength will deflect the electron by \( 10^\circ \)? a) Find the expression for the speed \( v \) to which the electron is accelerated when moving between the electrodes in terms of \( \Delta V \), \( m \), and \( e \). b) When crossing the region with the magnetic field, the electron moves along a circular trajectory of radius \( r \) with the center at point \( O \), as shown in Fig. 1. Express \( r \) in terms of the size of the magnetic field region \( d \) and the angle \( \theta \). c) Using the formula for the radius of the cyclotron orbit, \( r = \frac{mv}{eB} \), and your answers to the previous questions, work out a symbolic formula for \( B \) as a function of \( d \), \( \Delta V \), \( \theta \), \( m \), and \( e \). d) For the electron to be deflected by \( 10^\circ \) with respect to its original direction, the angle subtended by the circular part of its trajectory at point \( O \) has to be equal to \( \theta = 10^\circ \) (make sure that you understand why this is so). Use this and the numerical values of other parameters to compute \( B \). (Answer: \( B = 2.9 \, \text{mT} \)). --- **Figure 1: The scheme for Problem 2** The diagram shows an electron trajectory in a cathode-ray tube. The electron is represented as accelerating through a \( 10 \, \text{kV} \) potential, entering a magnetic field region of width \( d = 2.0 \, \text{cm} \). In this region, the electron's path curves due to the magnetic force, forming an arc with radius \( r \), centered at \( O \). The angle subtended by the arc at \( O \) is \( 10^\
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