Calculating Magnetic Flux Needed for Ion Control

In summary: The conversation discusses the use of a magnet to control negative ions and only allow those with a specific mass to pass through a narrow gap opening. The magnet will bend the ion beam in a quarter circle of radius 50 cm. In an experiment, a negative ion accelerated by a voltage of 3.0 kV. The question is asking for the required magnetic flux density for molecules with a mass of 277 u to follow the circular path through the magnet and pass through the gap opening. The equation QU = MV^2 * 1/r is used, but the question cannot be solved as the velocity (v) is not given. The solution requires the use of the concept of energy to find the velocity, as Q is not needed for
  • #1
tankarish
3
0

Homework Statement


A magnet is used to control negative ions and only allow those with a specific mass to pass through a narrow gap opening . The magnet will bend the ion beam in a quarter circle of radius 50 cm .
In an experiment, a negative ion accelerated by a voltage of 3.0 kV.

Which magnetic flux density must the magnets have for these molecules with mass 277 u to follow the circular path through the magnet and get through the gap opening ?

Homework Equations


QU = MV ^ 2 * 1 / r , then mv ^ 2 * 1 / r = QVB

The Attempt at a Solution


Because we have volt , I think QU = MV ^ 2 * 1 / r , then mv ^ 2 * 1 / r = QVB
But we do not have Q, or v. Thus I do not know how I solve this .

Sorry for the English, but it seems the problem can't be solved?
 
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  • #2
tankarish said:
QU = MV ^ 2 * 1 / r
I'm not sure what equation you are using here. What is U?

tankarish said:
But we do not have Q, or v.
You do not need Q to solve this question. You do, however, need v. This v would be the velocity of the negative ions after being accelerated by the voltage of 3kV, right before they enter the magnetic field. Can you find what is this v using the concept of energy?
Show us your working
 

1. What is magnetic flux and why is it important in ion control?

Magnetic flux is a measure of the strength of a magnetic field passing through a given area. In ion control, it is important because charged particles, such as ions, can be manipulated and controlled by magnetic fields.

2. How do you calculate the magnetic flux needed for ion control?

The magnetic flux needed for ion control can be calculated using the formula Φ = B x A, where Φ is the magnetic flux, B is the magnetic field strength, and A is the area of the magnetic field. This calculation assumes a uniform magnetic field.

3. What factors affect the magnetic flux needed for ion control?

The magnetic flux needed for ion control can be affected by several factors, including the strength of the magnetic field, the area of the magnetic field, the type and charge of the ions being controlled, and any external forces acting on the ions.

4. Can the magnetic flux needed for ion control be adjusted?

Yes, the magnetic flux needed for ion control can be adjusted by changing the strength of the magnetic field or the area of the magnetic field. This allows for precise control over the movement and behavior of ions.

5. What are some applications of calculating magnetic flux for ion control?

Calculating the magnetic flux needed for ion control has many practical applications, including in the development of ion thrusters for spacecraft propulsion, in medical imaging techniques such as MRI, and in particle accelerators for scientific research.

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