Magnitude and direction of uniform magnetic field

In summary, the problem involves a proton with a specific mass and charge being sent into a region with a uniform electric field. The goal is to determine the magnitude and direction of the uniform magnetic field in the region in order for the proton to pass through undeflected. The mass and charge of the proton are given, as well as the velocity and magnitude of the electric field. The equation to consider is how the electric and magnetic fields relate to each other in order to control the velocity of the proton.
  • #1
mwadhwa
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Homework Statement


A proton, with mass 1.67*10^-27 kg and charge +1.6*10^-19C, is sent with velocity 5.0*10^4 m/s in the x-direction into a region where there is uniform electric field of magnitude 390 V/m in the y direction. What is the magnitude and direction of the uniform magnetic field in the region, if the proton is to pass through undeflected? Assume that the magnetic field has no x-component. Neglect gravitational effects.


Homework Equations





The Attempt at a Solution


I have no idea where to even begin with this one! Any helps is greatly appreciated!
 
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  • #2
Think about controling velocity for a mass spectrometer. You know the E field and Velocity, how do they relate to the B field? (charge cancels in the balanced equation.)
 

1. What is the magnitude of a uniform magnetic field?

The magnitude of a uniform magnetic field refers to the strength or intensity of the magnetic field at a specific point. It is typically measured in units of Tesla (T) or Gauss (G).

2. How is the magnitude of a uniform magnetic field calculated?

The magnitude of a uniform magnetic field can be calculated using the equation B = μ0 * I / (2πr), where B is the magnetic field strength, μ0 is the permeability of free space, I is the current, and r is the distance from the source.

3. What is the direction of a uniform magnetic field?

The direction of a uniform magnetic field is perpendicular to the direction of the current flow. This means that the magnetic field lines are always at right angles to the current-carrying wire or the direction of motion of a charged particle.

4. How can the direction of a uniform magnetic field be determined?

The direction of a uniform magnetic field can be determined using the right-hand rule. If the thumb of your right hand points in the direction of the current or motion of the charged particle, then the direction of your curled fingers will indicate the direction of the magnetic field.

5. What are some real-world applications of uniform magnetic fields?

Uniform magnetic fields have a wide range of applications, including in electric motors, generators, MRI machines, particle accelerators, and compasses. They are also used in the production of electricity, transportation, and communication systems.

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