Magnetic Force on Electron: Unanswered Mystery

T at a speed of 5x10^5 m/s and the question is about the magnetic force on the electron. While using the formula Fm=qvBSin, the answer was determined to be 1.6x10^-14N. However, it was mentioned that the angle between the velocity of the electron and the magnetic field is unknown, making it impossible to find the answer.
  • #1
dcgirl16
27
0
an electron moves within a uniform magnetic field of .2T at a speed of 5x10^5 m/s. What is the magnetic force on the electron?

I used Fm=qvBSin and got 1.6x10^-14N but the answer is that it can't be determined with this info why not?
 
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  • #2
dcgirl16 said:
an electron moves within a uniform magnetic field of .2T at a speed of 5x10^5 m/s. What is the magnetic force on the electron?

I used Fm=qvBSin and got 1.6x10^-14N but the answer is that it can't be determined with this info why not?

Because you don't know the angle between the velocity of the electron and the magnetic field! You are right that the magnitude of the magnetic field is [itex] F_m = |q| v B sin \theta [/itex] but without the angle [itex] \theta [/itex] you can't find the answer. (how did {\em you} get an answer? I bet that you used an angle equal to 90 degrees!)

Patrick
 
  • #3


There are a few reasons why the magnetic force on the electron cannot be accurately determined with the given information.

Firstly, the equation Fm=qvBSin only applies to a charged particle moving in a magnetic field if the velocity of the particle is perpendicular to the magnetic field. In this case, it is not specified whether the electron's velocity is perpendicular to the magnetic field of 0.2T. If the electron's velocity is not perpendicular, the force calculation would be incorrect.

Additionally, the equation assumes that the electron's path is a perfect circle, which may not be the case in reality. The actual path of the electron may be slightly curved or even spiral due to other forces acting on it, which would also affect the calculation of the magnetic force.

Furthermore, the given information does not specify the charge of the electron, which is necessary for calculating the force. Since the charge of an electron is very small (1.6x10^-19 Coulombs), even a slight difference in the charge would result in a significantly different force calculation.

Lastly, the given information only provides the magnitude of the velocity and magnetic field, but not the direction. The direction of the velocity and magnetic field relative to each other also affects the force calculation.

In conclusion, the magnetic force on the electron cannot be accurately determined with the given information due to the lack of specific details and assumptions made in the equation. Further information, such as the direction of the velocity and magnetic field, the charge of the electron, and the actual path of the electron, would be necessary for a more precise calculation.
 

1. What is magnetic force on an electron?

Magnetic force on an electron is a phenomenon in which a moving electron experiences a force when placed in a magnetic field. This force is perpendicular to both the direction of the electron's motion and the direction of the magnetic field.

2. How is the magnetic force on an electron calculated?

The magnetic force on an electron can be calculated using the equation F = qvB, where F is the force, q is the charge of the electron, v is the velocity of the electron, and B is the magnetic field strength.

3. Why is the magnetic force on an electron considered an unanswered mystery?

Despite being a well-understood phenomenon, the exact mechanism behind the magnetic force on an electron is still not fully understood. Scientists are still working to uncover the underlying principles and theories that govern this force.

4. How does the magnetic force on an electron affect everyday life?

The magnetic force on electrons is responsible for many everyday technologies, such as electric motors, generators, and MRI machines. It also plays a crucial role in the behavior of charged particles in space, which can impact satellite communications and Earth's magnetic field.

5. Can the magnetic force on an electron be manipulated?

Yes, scientists have found ways to manipulate the magnetic force on electrons through the use of magnetic fields and other techniques. This has led to advancements in fields such as particle accelerators and nanotechnology.

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