Magnetic field in 3 dimensions

In summary, the problem involves finding the net magnetic force acting on a charged particle moving along the +z axis, given two components of the magnetic field along the +x and -y axes. The magnitude of the net force can be found using the equation F = qvBsinθ, and the angle it makes with the +x axis can be determined by using the pythagorean theorem.
  • #1
Alice7979
36
2

Homework Statement


One component of a magnetic field has a magnitude of 0.0431 T and points along the +x axis, while the other component has a magnitude of 0.0686 T and points along the -y axis. A particle carrying a charge of +1.70 × 10-5 C is moving along the +z axis at a speed of 4.24 × 103 m/s. (a) Find the magnitude of the net magnetic force that acts on the particle. (b)Determine the angle that the net force makes with respect to the +x axis.

Homework Equations


Screen Shot 2018-07-30 at 6.26.18 PM.png

F= qvBsinθ

The Attempt at a Solution


I don't know how to get Bnet, I was thinking it would be by using the pythagorean theorem.
 

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  • #2
Alice7979 said:

Homework Statement


One component of a magnetic field has a magnitude of 0.0431 T and points along the +x axis, while the other component has a magnitude of 0.0686 T and points along the -y axis. A particle carrying a charge of +1.70 × 10-5 C is moving along the +z axis at a speed of 4.24 × 103 m/s. (a) Find the magnitude of the net magnetic force that acts on the particle. (b)Determine the angle that the net force makes with respect to the +x axis.

Homework Equations


View attachment 228631
F= qvBsinθ

The Attempt at a Solution


I don't know how to get Bnet, I was thinking it would be by using the pythagorean theorem.
That should work.
 
  • #3
Thank you
 

Related to Magnetic field in 3 dimensions

1. What is a magnetic field in 3 dimensions?

A magnetic field in 3 dimensions is a three-dimensional representation of the force field generated by a magnet or moving electric charges. It describes the direction and strength of the magnetic force at any point in space.

2. How is a magnetic field in 3 dimensions measured?

A magnetic field in 3 dimensions can be measured using a device called a magnetometer. This device detects and measures the strength and direction of the magnetic field at a specific location.

3. What is the difference between a 2-dimensional and 3-dimensional magnetic field?

A 2-dimensional magnetic field only shows the direction and strength of the magnetic force in a plane, while a 3-dimensional magnetic field shows the direction and strength at any point in space. A 3-dimensional magnetic field is a more complete representation of the magnetic force.

4. How do magnetic fields in 3 dimensions affect charged particles?

Magnetic fields in 3 dimensions can exert a force on charged particles, causing them to move in a curved path. The strength and direction of the magnetic field determine the shape and size of the curved path.

5. How are magnetic fields in 3 dimensions used in everyday life?

Magnetic fields in 3 dimensions are used in many everyday applications, such as MRI machines, magnetic levitation trains, and navigation systems. They are also used in electronic devices, such as speakers and hard drives, to store and transmit information.

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