Circular Magnetic Field and direction problem

In summary, the conversation discusses the use of a commercial mass spectrometer to separate uranium ions from related species. The ions are accelerated through a potential difference of 140 kV and then pass into a uniform magnetic field, where they are bent in a path of radius 1.10 m. The conversation also mentions the use of equations to calculate velocity and magnetic field strength, and the struggle with determining the direction of the magnetic field. The conversation also goes on to discuss the calculation of the magnitude of the magnetic field, the current of desired ions, and the thermal energy produced in the cup in 1.00 h.
  • #1
DODGEVIPER13
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Homework Statement


A certain commercial mass spectrometer is used to separate uranium ions of mass 3.92 10-25 kg and charge 3.20 10-19 C from related species. The ions are accelerated through a potential difference of 140 kV and then pass into a uniform magnetic field, where they are bent in a path of radius 1.10 m. After traveling through 180° and passing through a slit of width 1.00 mm and height 1.00 cm, they are collected in a cup.


Homework Equations


r = mv/abs(q)B

v = sqrt(2qV/m) (where V is potential)

The Attempt at a Solution


What is did was first find for velocity using the equation given and I got 478091.4438 then I used the radius equation above and massaged it to B= mv/abs(q)r plugged in my velocity and got .486 this is incorrect why? Also in general when I am ding problems involving magnetic fields how can I easily determine the direction of it I struggle with that.
 
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  • #2
What is the question? What quantity have you calculated? You got 0.486, what is it? What is the unit? ehild
 
  • #3
The unit I got was suppose to be tesla
 
  • #4
sorry I just realized I didnt put the whole question on their so here is the rest I was solving part a.

(A) What is the magnitude of the (perpendicular) magnetic field in the separator?


(b) If the machine is used to separate out 50 mg of material per hour, calculate the current of the desired ions in the machine.


(c) In that case, calculate the thermal energy produced in the cup in 1.00 h.
 
  • #5
The 0.486 T is a bit inaccurate. Try again, and do not drop significant digits. ( I got a bit more than 0.5 T.)

And what about the other questions?:smile:

ehild
 

FAQ: Circular Magnetic Field and direction problem

1. What is a circular magnetic field?

A circular magnetic field is a type of magnetic field that forms a loop or ring shape, with the magnetic field lines running in a circular path.

2. How is a circular magnetic field created?

A circular magnetic field is created by an electric current running through a wire in a circular path. The direction of the magnetic field is determined by the direction of the current flow, following the right-hand rule.

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

The direction of a circular magnetic field is perpendicular to the current flow and follows the right-hand rule. This means that if you point your thumb in the direction of the current flow, the direction of your curled fingers will indicate the direction of the magnetic field.

4. What are the applications of a circular magnetic field?

Circular magnetic fields have various applications, including in electric motors, generators, and in medical imaging technologies such as MRI machines. They are also used in particle accelerators and in the production of electricity from renewable sources like wind turbines.

5. Can a circular magnetic field be changed or controlled?

Yes, a circular magnetic field can be changed or controlled by changing the direction or strength of the current flowing through the wire. It can also be manipulated using magnetic materials, such as magnets, to alter its direction or shape.

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