Calculating the Velocity of a Proton using Magnetic Field and Electric Charge

Click For Summary
SUMMARY

The velocity of a proton can be calculated using the equation B = (μ₀ * q * v) / (4 * π * r²). In this discussion, the user rearranged the equation to solve for velocity (v), substituting the magnetic field strength (B) of 1.1 x 10^-3 T, the charge of the proton (q) as 1.6 x 10^-19 C, and the radius (r²) as 1.8 x 10^-5 m. This calculation resulted in a proton velocity of 1.2 x 10^8 m/s. Additionally, the user inquired about applying the right-hand rule to determine the proton's direction.

PREREQUISITES
  • Understanding of electromagnetic theory
  • Familiarity with the right-hand rule in physics
  • Knowledge of fundamental constants such as μ₀ (permeability of free space)
  • Basic algebra for rearranging equations
NEXT STEPS
  • Study the application of the right-hand rule in electromagnetic contexts
  • Explore the concept of magnetic fields and their effects on charged particles
  • Learn about the significance of the permeability of free space (μ₀) in calculations
  • Investigate advanced topics in particle physics related to proton behavior
USEFUL FOR

Students in physics, educators teaching electromagnetism, and anyone interested in the dynamics of charged particles in magnetic fields.

jhexp
Messages
6
Reaction score
1
Proton's Velocity

Homework Statement


MN4Ep.jpg


What is the speed of the proton?


Homework Equations


B=u0qv/(4pir^2)


The Attempt at a Solution



I rearranged the equation so that I solve for velocity, v. I determined that r^2 is 1.8*10^-5 m. I plugged in 1.1*10^-3 for B. The q for the proton is 1.6*10^-19.

Plugging all that and the constants in gave me a velocity of 1.2*10^8 m/s.
 
Last edited:
Physics news on Phys.org
Oh yeah, do you guys know the specific right hand rule for this situation? I need to use it to figure out the direction of this proton.
 

Similar threads

Tangential acceleration of proton due to a changing magnetic field
  • · Replies 10 ·
Replies
10
Views
1K
What Was the Initial Speed of the Proton in a Collision?
  • · Replies 2 ·
Replies
2
Views
3K
An electron & a proton are each placed in an electric field
  • · Replies 1 ·
Replies
1
Views
3K
The time for a proton to reach a certain velocity
  • · Replies 4 ·
Replies
4
Views
2K
Electric Field Force Exerted Vertically
  • · Replies 9 ·
Replies
9
Views
8K
Solve Proton Homework: Min Speed to Miss Lower Plate
  • · Replies 2 ·
Replies
2
Views
9K
Particle in a circular path due to magnetic field
  • · Replies 21 ·
Replies
21
Views
3K
What is the impact speed of the proton in a 4850V capacitor?
  • · Replies 3 ·
Replies
3
Views
5K
Proton vs electron, find the magnetic field for the electron
  • · Replies 9 ·
Replies
9
Views
2K
Kinetic Energy of Colliding Protons
  • · Replies 54 ·
2
Replies
54
Views
11K