Question

A CRT (cathode ray tube) is used for most television and computer video displays. In the back of a CRT is an electron gun emitting a beam of electrons toward a phosphor-coated display screen; the beam makes a visible spot where it impacts the screen. Assuming the electron gun is made $25 \mathrm{kV}$ more negative than the screen, how much energy is transferred to a single electron by the time it reaches the screen?

Name: Problem 17, Chapter 1: Essentials of Electrical and Computer Engineering
Uploaded: 2021-03-10T03:09:13-08:00
Duration: 1 min 56 s
Channel: Khoobchandra Agrawal

   A CRT (cathode ray tube) is used for most television and computer video displays. In the back of a CRT is an electron gun emitting a beam of electrons toward a phosphor-coated display screen; the beam makes a visible spot where it impacts the screen. Assuming the electron gun is made $25 \mathrm{kV}$ more negative than the screen, how much energy is transferred to a single electron by the time it reaches the screen?

Essentials of Electrical and Computer Engineering

David V. Kerns, Jr.,… 1st Edition

Chapter 1, Problem 17

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Solved by Expert Khoobchandra Agrawal

03/10/2021

Step 1

The problem states that the electron gun is made $25 \mathrm{kV}$ more negative than the screen. This means there is a potential difference of $25 \mathrm{kV}$ (or $25,000 \mathrm{V}$). Show more…

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A CRT (cathode ray tube) is used for most television and computer video displays. In the back of a CRT is an electron gun emitting a beam of electrons toward a phosphor-coated display screen; the beam makes a visible spot where it impacts the screen. Assuming the electron gun is made $25 \mathrm{kV}$ more negative than the screen, how much energy is transferred to a single electron by the time it reaches the screen?

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Key Concepts

Electric Potential Energy

This is the energy that a charged particle possesses due to its position in an electric field. When a particle like an electron moves through a voltage difference, it gains or loses energy according to the relation ?E = q?V, where q is the particle’s charge and ?V is the potential difference.

Electronvolt

The electronvolt (eV) is a unit of energy commonly used in atomic and particle physics. It is defined as the energy gained by an electron when it is accelerated through a potential difference of one volt, making it a practical unit for describing the energy levels of electrons.

Charged Particle Acceleration

This concept involves the process by which charged particles, such as electrons, are accelerated by electric fields. The work done on the particle by the field increases its kinetic energy, following the work-energy principle and allowing devices like cathode ray tubes to function by imparting energy to electrons.

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