Magnetic field curvature question

In summary, to find the minimum radius of curvature for an alpha particle, He, moving at 2.0x10^-6m/s in a magnetic field of 2.9x10^-5T, we can use the equation F=qvBsin(theta) and relate it to the radius of the particle's trajectory. The magnetic force is making the particle move in a circle, so we can use the relationship F=BILsin(theta) to solve for the minimum radius.
  • #1
jalen
25
0

Homework Statement



What is the minimum radius of curvature for an alpha particle, He, moving at 2.0x10^-6m/s in a magnetic field of 2.9x10^-5T?

Homework Equations



F=qvBsin(theta)...then F=BILsin(theta)

The Attempt at a Solution



F=qvBsin(theta)
=(1.602x10^-19)(2.0x10^6)(2.9x10^-5T)sin90
=9.2916x10^-18

F=BILsin(theta)...
 
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  • #2
You have a value for the Magnetic Force on the particle, but no you need to somehow relate that value to the radius of the particles trajectory in order to find your answer.

HINT:

The magnetic force is making the particle move in a circle. So, what type of force does that make it?
 
  • #3
then I=F/BL
=9.2916x10^-18/(2.9x10^-5T)(2.0x10^-6m)
=1.27x10^-3A

r=mL/qB
=(9.11x10^-31kg)(2.0x10^-6m)/(1.602x10^-19)(2.9x10^-5T)
=2.42x10^-5m

The minimum radius of curvature for an alpha particle, He, moving at 2.0x10^-6m/s in a magnetic field of 2.9x10^-5T is 2.42x10^-5m.
 

1. What is magnetic field curvature?

Magnetic field curvature is the measure of how much a magnetic field deviates from a perfectly straight line. It is caused by the interaction of the magnetic field with other objects or materials, such as electric currents or magnetic materials.

2. How is magnetic field curvature measured?

Magnetic field curvature is typically measured using a device called a magnetometer. This device uses sensors to detect changes in the magnetic field and can provide information about the strength and direction of the curvature.

3. What are the effects of magnetic field curvature?

Magnetic field curvature can have various effects depending on the strength and direction of the field. It can affect the movement of charged particles, such as electrons, and can also influence the behavior of magnetic materials.

4. Can magnetic field curvature be changed?

Yes, magnetic field curvature can be changed by altering the strength or direction of the magnetic field. This can be achieved through the use of magnets or by manipulating the flow of electric currents.

5. How is magnetic field curvature used in science and technology?

Magnetic field curvature has many practical applications in science and technology. It is used in MRI machines to produce detailed images of the body, in particle accelerators to control the movement of particles, and in compasses for navigation.

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