Circular Magnetic Field and direction problem

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Homework Help Overview

The problem involves a commercial mass spectrometer used to separate uranium ions based on their mass and charge. The ions are accelerated through a potential difference and then enter a magnetic field, where their path is influenced by the field strength and other parameters.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to calculate the magnetic field strength using derived equations but questions the accuracy of their result. They also express difficulty in determining the direction of the magnetic field in related problems.

Discussion Status

Participants are actively engaging with the original poster's calculations, prompting clarification on the units and the specific question being addressed. There is a suggestion to re-evaluate the calculations for accuracy, indicating ongoing exploration of the problem.

Contextual Notes

The original poster initially omitted part of the question, which includes additional calculations related to the current of ions and thermal energy produced, indicating potential complexity in the problem setup.

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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What is the question? What quantity have you calculated? You got 0.486, what is it? What is the unit? ehild
 
The unit I got was suppose to be tesla
 
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.
 
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
 

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