# Magnetic field and charged particle help

• MrDMD83
In summary, the question is asking at what angle, less than 90°, with respect to a magnetic field, will a charged particle experience a magnetic force of 2.4 times its original magnitude if it is moving at the same speed. The solution involves using Ampere's law and the equation for the relationship between magnetic force and angle.
MrDMD83
When a charged particle moves at an angle of 13° with respect to a magnetic field, it experiences a magnetic force of magnitude F. At what angle (less than 90°) with respect to this field will this particle, moving at the same speed, experience a magnetic force of magnitude 2.4F?

It says to use Ampere's law

Sum of(Bparallel x change in length) = Permeability of free space x Amperage. This is due by noon today. Please help.

It says to use Ampere's law

Sum of(Bparallel x change in length) = Permeability of free space x Amperage. This is due by noon today. Please help.

MrDMD83 said:
Sum of(Bparallel x change in length) = Permeability of free space x Amperage. This is due by noon today. Please help.
You have a charged particle moving in a magnetic field. The force depends on the strength of the field, the velocity of the charge, the magnitude and sign of the charge, and the angle between the velocity direction and the field direction. In this problem all you are changing is the angle between the directions. Do you know the equation that espresses this relationship?

## 1. What is a magnetic field?

A magnetic field is an area of space around a magnet or electric current where magnetic forces can be observed. It is a vector quantity, meaning it has both magnitude and direction.

## 2. How is a magnetic field created?

A magnetic field is created by moving electric charges. This can be achieved through the movement of charged particles, such as electrons, in a wire or by the alignment of magnetic dipoles in a material.

## 3. How does a magnetic field affect charged particles?

A magnetic field can exert a force on a charged particle that is moving within the field. The direction of the force is perpendicular to both the direction of the particle's motion and the direction of the magnetic field.

## 4. What is the relationship between a charged particle's velocity and the magnetic field?

The force on a charged particle in a magnetic field is directly proportional to the particle's velocity. This means that the faster the particle is moving, the stronger the force it experiences within the magnetic field.

## 5. How can a magnetic field be used to manipulate charged particles?

Magnetic fields are commonly used in particle accelerators and mass spectrometers to manipulate and control the motion of charged particles. They can also be used in technologies such as magnetic levitation trains and medical imaging devices.

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