Moving electrons and magnetic fields

In summary, an electron is moving through a 0.002T magnetic field and will be pushed in a direction perpendicular to the field. The amount of force exerted on the electron can be calculated using the Lorentz Force equation, F=QVB, where Q is the charge of the electron, V is its velocity, and B is the magnetic field. In this case, the magnetic field is perpendicular to the electron's path, so the angle between V and B is 90 degrees, making the sin(m) term equal to 1. Therefore, the force on the electron can be simplified to F=QVB. This is a well-established experimental result known as the Lorentz Force.
  • #1
heston1980
4
0
An electron is moving through a 0.002T magnetic field as described below. Show the direction the electron will be pushed by the magnetic field, and calculate teh amount of force exerted on the electron if the electron is moving at 3x10^5 m/s


here is what the paper looks like

x x x x x x x x

x x x x x x x x

x x x x x x x x

x x x x x x x x
^
e - is going straight thru the middle of the x's

I'm assuming B=.002T and the equation I would use is Fbw = BIL?
 
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  • #2
Do a search on "Lorentz Force".
 
  • #3
NO NEED AT ALL TO USE THAT BIL?IS THERE ANY CURRENT HERE?
gneill is right!
USE LORENTZ FORCE WHICH FOR MAGNETIC FIELD IS:F=QVB.
HERE Q IS CHARGE, VELOCITY OF CHARGE AND B IS MAGNETIC FIELD APPLIED.
ACTUALLY IT IS VROSS-PRODUCT OF V & B VECTOR.(V x B=VB*sin(m) WHERE M IS ANGLE WHICH FIELD MAKES WITH PLANE IN WHICH CHARGE IS LOCATED)
IN YOUR QUESTION THE X X X
X X X MEANS THAT MAGNETIC FIELD IS PERPENDICULAR TO CHARGE.
=>M=900 OR 90 DEGREES.NOW SIN(90)=1.
THEREFORE F=QVB!
REMEMBER LORENTZ FORCE IS OBTAINED FROM EXPERIMENT'S--WE ARE THUS FORCED TO REMEMBER IT WITHOUT PROOF!
 

1. How do moving electrons create magnetic fields?

When electrons move, they create a magnetic field around them. This is because moving charges produce a magnetic field, and electrons are negatively charged particles. The strength of the magnetic field is directly proportional to the speed of the electrons.

2. What is the relationship between the direction of electron flow and the direction of the magnetic field?

The direction of the magnetic field around a moving electron is perpendicular to the direction of electron flow. This means that as the electrons move in a straight line, the magnetic field forms circles around the wire or conductor in which they are moving.

3. How do magnetic fields affect the motion of electrons?

Magnetic fields exert a force on moving electrons, causing them to change direction. This is known as the Lorentz force and is the basis for many technologies such as electric motors and generators.

4. Can magnetic fields be used to control the movement of electrons?

Yes, magnetic fields can be used to control the direction and speed of electrons. This is the principle behind devices such as cathode ray tubes and particle accelerators.

5. How do changing magnetic fields induce electric currents?

When a magnetic field changes, it creates an electric field in the surrounding space. This changing electric field can then induce an electric current in a nearby conductor, according to Faraday's law of induction. This phenomenon is used in devices such as transformers and generators.

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