Potential difference and electron speed

In summary, the question asks for the potential difference needed to accelerate an electron to 5.8% of the speed of light starting from rest. The equations used are E=Vq and E=.5mv^2, and the solution is found to be V=8.59493e30 V. However, the electron mass used in the calculation is incorrect.
  • #1
Kris1120
42
0

Homework Statement



Through what potential difference would an electron need to be accelerated for it to achieve a speed of 5.8% of the speed of light (2.99792x10^8 m/s), starting from rest?

Homework Equations



E=Vq
E=.5mv^2


The Attempt at a Solution



Vq=.5mv^2

V=(.5mv^2)/q

V=(.5 * 9.10939e-3 kg * 1.73879e7^2 m/s) / 1.60218e-19 C

V=8.59493e30 V
 
Physics news on Phys.org
  • #2
Hi Kris1120,

Kris1120 said:

Homework Statement



Through what potential difference would an electron need to be accelerated for it to achieve a speed of 5.8% of the speed of light (2.99792x10^8 m/s), starting from rest?

Homework Equations



E=Vq
E=.5mv^2


The Attempt at a Solution



Vq=.5mv^2

V=(.5mv^2)/q

V=(.5 * 9.10939e-3 kg * 1.73879e7^2 m/s) / 1.60218e-19 C

V=8.59493e30 V

The electron mass you are using is incorrect.
 
  • #3
OMG what a silly mistake! Thank you so much!
 

FAQ: Potential difference and electron speed

What is potential difference?

Potential difference, also known as voltage, is the difference in electric potential energy between two points in an electrical circuit. It is measured in volts (V) and is responsible for the movement of electric charges, such as electrons.

How is potential difference related to electron speed?

Potential difference is directly proportional to electron speed. This means that as the potential difference increases, the speed of the electrons also increases. This is because a higher potential difference provides more energy for the electrons to move through the circuit.

Can potential difference be negative?

Yes, potential difference can be negative. This indicates that the direction of the electric current is opposite to the direction of the electric field. In other words, the electrons are moving from a higher potential to a lower potential.

How does potential difference affect the flow of electrons?

Potential difference is essential for the flow of electrons in an electrical circuit. It is the driving force that pushes the electrons from the negative terminal of a battery to the positive terminal. Without a potential difference, there would be no movement of electrons and no flow of electric current.

What is the unit of measurement for potential difference?

Potential difference is measured in volts (V). However, in certain situations, it can also be measured in other units such as joules per coulomb (J/C) or electron volts (eV).

Back
Top