Determining the magnitude of the magnetic field acting on a particle

In summary: T. In summary, a positively charged particle with a mass of 7.2 X 10^-8 kg enters a 0.31T magnetic field and travels through one-quarter of a circle in 2.2 X 10^-3 seconds. The particle moves perpendicular to the field and leaves heading south. The magnitude of the magnetic force acting on the particle is 4.37 X 10^-3 and the charge of the particle is 1.66 X 10^-4C.
  • #1
expatiated
5
0
1. *Is my solution correct?
Homework Statement

A positively charged particle of mass 7.2 X 10^-8 kg is traveling due east with a speed of 85 m/s and enters a 0.31T uniform magnetic field. The particle moves through one-quarter of a circle in 2.2 X 10^3 seconds, at which time it leaves the field heading of south. All during the motion the particle moves perpendicular to the magnetic field. a) What is the magnitude of the magnetic force acting of the particle, b) Determine the charge of the particle.


Homework Equations


speed = distance/time
r = mv/qB


The Attempt at a Solution


a) velocity = distance/time
= ∏r/2t
therefore r = v2t/∏
=0.119m

F= mv^2/r
= 4.37 X 10^-3

b) F = qvB
q = F/vB
= 1.66 X 10^-4C
 
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  • #2
expatiated said:
1. *Is my solution correct?
Homework Statement

A positively charged particle of mass 7.2 X 10^-8 kg is traveling due east with a speed of 85 m/s and enters a 0.31T uniform magnetic field. The particle moves through one-quarter of a circle in 2.2 X 10^3 seconds, at which time it leaves the field heading of south. All during the motion the particle moves perpendicular to the magnetic field. a) What is the magnitude of the magnetic force acting of the particle, b) Determine the charge of the particle.

do you mean 2.2*10-3seconds?
 
  • #3
yes time = 2.2*10^-3 seconds
 

What is the formula for calculating the magnitude of the magnetic field acting on a particle?

The formula for calculating the magnitude of the magnetic field acting on a particle is B = (μ0/4π) * (qv sinθ)/r^2, where B is the magnetic field strength, μ0 is the permeability of free space, q is the charge of the particle, v is the velocity of the particle, θ is the angle between the velocity and the magnetic field, and r is the distance between the particle and the source of the magnetic field.

What is the unit of measurement for the magnitude of the magnetic field?

The unit of measurement for the magnitude of the magnetic field is tesla (T).

How does the strength of the magnetic field affect the trajectory of a charged particle?

The strength of the magnetic field affects the trajectory of a charged particle by exerting a force on the particle, causing it to move in a circular path perpendicular to the direction of the magnetic field. The greater the strength of the magnetic field, the tighter the curvature of the particle's path.

What factors can affect the accuracy of determining the magnitude of the magnetic field?

There are several factors that can affect the accuracy of determining the magnitude of the magnetic field, including the precision of the instruments used, external magnetic fields that may interfere with the measurement, and human error in taking and recording measurements.

Can the magnitude of the magnetic field ever be negative?

No, the magnitude of the magnetic field cannot be negative. It is always a positive value that represents the strength of the magnetic field at a specific point in space. However, the direction of the magnetic field can be negative if it is pointed in the opposite direction of a chosen reference direction.

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