Electron through electric and magnetic field

In summary, an electron initially at rest is accelerated by a potential V in a vacuum and then travels horizontally in a region of space where there is an electric field E and a magnetic field B. The electron experiences an upward force of eE and a downward force of evB, where e is the charge of the electron and v is its velocity. To continue flying undeflected, the initial accelerating voltage V must be equal to the electric field E divided by the charge of the electron. Using the given values of E = 1000 V/m, B = 1 × 10^(-5) T, m = 10^(-30) kg, and e = 1.6 × 10^(-19) C,
  • #1
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Homework Statement



An electron, initially at rest, is accelerated by a potential V in a vacuum and
then travels horizontally in a region of space where there is an electric field,
E, and a magnetic field, B. The fields are aligned such that the electron
is subjected to a force eE upwards and a force evB downwards, where e
is the charge of the electron and v is its velocity. If E = 1000 V/m and
B = 1 × 10^(-5) T, what is the value of the initial accelerating voltage V for
the electron to continue flying undeflected?
(Take m=10^(-30) kg and e=1.6×10^(-19) C)

Homework Equations



No idea.

The Attempt at a Solution



No idea.
 
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  • #2
some equations for you:

upward F=qE
downward F=Bqv

(travelling straight so upward F=downward F)

Then, regarding voltage:

V=E/q=(0.5mv^2)/q

can you find the voltage from these equations?
 

1. How does an electron move through an electric field?

An electron moves through an electric field by experiencing a force due to the presence of an electric field. The direction of the force is determined by the direction of the electric field, and the magnitude is determined by the charge of the electron and the strength of the electric field.

2. How does an electron move through a magnetic field?

An electron moves through a magnetic field by experiencing a force due to its own magnetic moment interacting with the magnetic field. The direction of the force is perpendicular to both the direction of the magnetic field and the velocity of the electron.

3. How do electric and magnetic fields affect the motion of an electron?

Electric and magnetic fields can affect the motion of an electron by exerting a force on the electron. When an electron moves through both an electric and a magnetic field, the two forces may interact and cause the electron's path to curve or spiral.

4. What is the difference between an electric field and a magnetic field?

An electric field is created by stationary electric charges, while a magnetic field is created by moving electric charges. Additionally, electric fields exert forces on stationary charges, while magnetic fields exert forces on moving charges.

5. How is the motion of an electron through electric and magnetic fields related to electromagnetic waves?

An electron moving through both an electric and a magnetic field can emit electromagnetic waves, as the changing motion of the electron creates a changing electric and magnetic field. Conversely, electromagnetic waves can also interact with charged particles, causing them to move through electric and magnetic fields.

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