Protons along a magnetic field line

In summary, the conversation discusses the calculation of time taken to complete a cycle in a magnetic field line with a length of 70,000 [Km] and all particles having an energy of 1.6E-27 [J]. It also mentions the mass and kinetic energy of protons and electrons, as well as the issue of incorrect dimensions.
  • #1
AndrewC1994
1
0
1. A Magnetic field line has a length of 70,000 [Km], for this example all particles have an energy of 1.6E-27 [J]. Assuming all motion is parallel to the magnetic field line how long would it take to complete this cycle.2. M[Proton] = 1.677E-27 [Kg] , M[Electron] = 9.1E-31 [Kg] , E[kinetic] = 1/2mv^2, Distance = d=vt , J = 1 kg*m^2/s^23. I'm stuck in the set up. I multiplied the energy given time the mass of the proton, then multiplied it by distance just still ended up with some obscene number with units m/s^2
 
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  • #2
Hello Andy, welcome to PF :smile: !

Something pretty wrong here. Is this really the correct problem statement ?
(Because then there is no cycle, so the answer would be: infinitely long...)

And you aren't just stuck in the setup, but also in the dimensions.
Just chucking a lot of stuff in a bucket, heating it and then expecting to get gold is naive.
 

FAQ: Protons along a magnetic field line

1. What is a magnetic field line?

A magnetic field line is an imaginary line that represents the path a charged particle would follow in a magnetic field. These lines are used to visualize the direction and strength of the magnetic field.

2. What is the role of protons along a magnetic field line?

Protons, being positively charged particles, will experience a force when moving along a magnetic field line. This force is perpendicular to both the direction of the magnetic field and the direction of motion of the proton, causing it to follow a curved path.

3. How do protons interact with magnetic fields?

Protons interact with magnetic fields through a phenomenon called the Lorentz force. This force is perpendicular to both the magnetic field and the velocity of the proton, causing it to experience a circular motion.

4. What is the significance of protons moving along a magnetic field line?

The movement of protons along a magnetic field line has important applications in various fields such as particle accelerators, magnetic confinement fusion, and magnetic resonance imaging (MRI). It also helps scientists understand the behavior of charged particles in space.

5. How does the strength of a magnetic field affect the motion of protons along a magnetic field line?

The strength of the magnetic field has a direct impact on the motion of protons along a magnetic field line. A stronger magnetic field will result in a larger force on the proton, causing it to move in a tighter curve. In other words, the curvature of the path increases with an increase in the strength of the magnetic field.

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