Calculating Electron Speed in a TV Screen Using 2.0 kV Potential Difference

In summary, electrons in a television set are accelerated through a potential difference of 2.0 kV. To find the speed of the electrons when they reach the screen, we can use the formula (work done on charge q by potential difference ΔV) = (1/2)mv2 = qΔV, assuming the electron starts at rest. This can also be related to the concept of electric potential energy and kinetic energy. For more information and related concepts, you can refer to the provided URLs.
  • #1
hotstuff
10
0
Electrons in a television set are accelerated through a potential difference of 2.0 kV.
(a) Find the speed of the electrons when they reach the screen. Ignore any relativistic effects.

how to do this i have no idea what formula to use
 
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  • #2
hotstuff said:
Electrons in a television set are accelerated through a potential difference of 2.0 kV.
(a) Find the speed of the electrons when they reach the screen. Ignore any relativistic effects.

how to do this i have no idea what formula to use
What is the definition of electric potential? The problem tells you how much the electron's electric potential will change. How much will its potential energy change? How much will its kinetic energy change? Assume the electron starts at test. How much velocity does it acquire?
 
  • #3
hotstuff said:
Electrons in a television set are accelerated through a potential difference of 2.0 kV.
(a) Find the speed of the electrons when they reach the screen. Ignore any relativistic effects.

how to do this i have no idea what formula to use
check here:
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/ev.html#c2
see above URL page to find (for charge initially at rest):
(work done on charge q by potential difference ΔV) = (1/2)mv2 = qΔV

other concepts you may need later:
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elewor.html#c1
 
Last edited:

1. How do you calculate the electron speed in a TV screen using a 2.0 kV potential difference?

The formula for calculating electron speed is: v = √(2eV/m), where v is the electron speed in meters per second, e is the charge of an electron (1.602 x 10^-19 Coulombs), V is the potential difference in volts, and m is the mass of an electron (9.11 x 10^-31 kilograms).

2. What is the significance of the 2.0 kV potential difference in this calculation?

The 2.0 kV potential difference is the amount of electric potential energy that is applied to the electrons in the TV screen. This potential difference determines the speed at which the electrons will travel in the screen, and ultimately affects the brightness and clarity of the images on the screen.

3. What is the unit of measurement for electron speed in this calculation?

The unit of measurement for electron speed in this calculation is meters per second (m/s).

4. Are there any other factors that can affect the electron speed in a TV screen?

Yes, there are other factors that can affect the electron speed in a TV screen, such as the distance between the cathode and anode, the strength of the electric field, and the temperature of the electrons.

5. How does calculating electron speed help in understanding the functioning of a TV screen?

Calculating electron speed helps in understanding the functioning of a TV screen by providing insights into the behavior of electrons within the screen. This information can be used to optimize the design and performance of TV screens, and to troubleshoot any issues that may arise. Additionally, understanding electron speed can also aid in the development of new technologies and advancements in the field of electronics.

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