Calculate Magnetic Force (B) for Electron Motion

In summary, an electron with a mass of 9.11x10^-31 kg and a charge of -1.602x10^-19 C enters a region with a constant and perpendicular magnetic field. Its initial velocity is 5x10^6 m/s and it moves in a circle with a radius of 2cm. The magnitude of the magnetic field B is unknown. The period and frequency of the circular motion can be calculated using equations related to force, magnetic field, and velocity. The electron also emits radiation with a wavelength equal to the frequency of its circular motion.
  • #1
jrollz316
2
0
an electron m=9.11x10^-31 kg and q= -1.602x10^-19 C enters a region where th magnetic field is constant and perpendicular to the velocity of the electron. the speed of the electron is v=5x10&m/s. the electron moves in a circle of radius 2cm.

a. what is the magnitude B of the magnetic field?
b. what is the periods of the circular motion of the electron? what is the frequency of the motion?
c. the electron radiates as its moves in a circle and emits radiation. what i s the wavelength of this radiation and characterize this radiation? the frequency of the radiation is the same as the frequency of the circular motion of the electron

i would attempt the solution if i knew how to find B. I honestly don't know what to do with this.
 
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  • #2
Hello jrollz316,

Welcome to Physics Forums.

Could you give us any equations that might be relevant? Also, let us know what work you have attempted and where you are getting stuck. We're not supposed to help unless you've shown that you've made a solid attempt. Things which may be useful in your reply: What sort of force would cause an object (with mass) to move in a circle? What is the equation for this? Do you know of any equations which relate force F, magnetic field B, and velocity v?
 

1. How do I calculate the magnetic force (B) for electron motion?

To calculate the magnetic force (B) for electron motion, you can use the formula: 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. This formula follows the right-hand rule, where the force is perpendicular to both the velocity and the magnetic field direction.

2. What units are used to measure magnetic force (B) for electron motion?

Magnetic force is measured in Newtons (N) in the SI system. In terms of the formula, the units for B are Tesla (T), q is Coulomb (C), and v is meters per second (m/s).

3. Can the direction of the magnetic field affect the magnetic force (B) for electron motion?

Yes, the direction of the magnetic field can affect the magnetic force on an electron. If the magnetic field is parallel to the velocity of the electron, there will be no force. If the magnetic field is perpendicular to the velocity, the force will be at a maximum.

4. How does the speed of an electron affect the magnetic force (B) for its motion?

The magnetic force (B) for electron motion is directly proportional to the velocity of the electron. This means that as the speed of the electron increases, the magnetic force will also increase. However, the direction of the magnetic force will also depend on the direction of the velocity and the magnetic field.

5. Can the magnetic force (B) for electron motion be negative?

Yes, the magnetic force (B) for electron motion can be negative. This occurs when the direction of the velocity and the magnetic field are in opposite directions, resulting in a negative force. However, the magnitude of the force will still be the same as if it were positive.

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