Calculating Charge Ratio in a Uniform Magnetic Field

In summary, two charged particles moving at different speeds experience the same magnitude of magnetic force in the same direction. To find the ratio of their charge magnitudes, the equation BqVsin(theta)=BqVsin(theta) is used, where B is the magnetic field, q is the charge magnitude, V is the velocity, and theta is the angle between the velocity and magnetic field. By setting up equations for each charge (Q1 and Q2), it can be determined that the ratio of q1/q2 is equal to the ratio of their velocities (V1/V2).
  • #1
thompson.1674
8
0
magnetic force help ?

Homework Statement


Two charged particles move in the same direction with respect to the same magnetic field. Particle 1 travels eight times faster than particle 2. However, each particle experiences a magnetic force of the same magnitude. Find the ratio q1/q2 of the magnitudes of the charges.


Homework Equations


B=F/qVsin(theta)


The Attempt at a Solution


BqVsin(theta)=BqVsin(theta)
and then B and sin(theta) cancel but i don't know where to go from here??
 
Physics news on Phys.org
  • #2


[tex]F=BQVsin\theta[/tex]

For the first charge,Q1.

[tex]F=BQ_1V_1 sin\theta[/tex]

For the 2nd charge,Q2

[tex]F=BQ_2V_2 sin\theta[/tex]


what is the relation between V1 and V2?
 
  • #3


okay cool thanks i got it.
 

1. What is magnetic force?

Magnetic force is a fundamental force that results from the interaction between electrically charged particles. It is caused by the alignment of magnetic fields, which can attract or repel objects.

2. How is magnetic force measured?

Magnetic force is measured using a unit called the tesla (T), which is equivalent to one newton per ampere-meter.

3. What are the factors that affect magnetic force?

The strength of magnetic force is affected by the distance between the two magnets or magnetic objects, the strength of their magnetic fields, and the angles at which the magnets are positioned.

4. How is magnetic force used in everyday life?

Magnetic force has many practical applications, such as in electric motors, generators, and MRI machines. It is also used in everyday objects like speakers, credit cards, and refrigerators.

5. Can magnetic force be shielded or blocked?

Yes, magnetic force can be shielded or blocked by using materials such as iron, nickel, or cobalt, which are highly magnetic and can redirect or absorb the force.

Similar threads

Understanding work in translation and rotation of a magnetic dipole
    • Introductory Physics Homework Help
Replies
1
Views
330
Force between poles of two magnets
    • Introductory Physics Homework Help
Replies
1
Views
290
Derivation Of Torque On Current Loop Due To Uniform Magnetic Field
    • Introductory Physics Homework Help
Replies
4
Views
319
What is the induced magnetic force on this closed current loop?
    • Introductory Physics Homework Help
Replies
12
Views
185
Charged particles moving through a magnetic field
    • Introductory Physics Homework Help
Replies
11
Views
1K
Spring-mediated dipole in a magnetic field
    • Introductory Physics Homework Help
Replies
31
Views
1K
Making sense of sequence of ideas in MIT OCW's 8.02 notes on Faraday
    • Introductory Physics Homework Help
Replies
1
Views
139
(Magnetism) Magnetic pull force on a steel ball
    • Introductory Physics Homework Help
Replies
4
Views
332
Electromagnetic effects and Magnetic Fields Questions
    • Introductory Physics Homework Help
Replies
2
Views
1K
Circular trajectory traveled by a charged particle in a magnetic field
    • Introductory Physics Homework Help
Replies
3
Views
789

Hot Threads

Recent Insights

Back
Top