184_projects:detecting_b_fields

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184_projects:detecting_b_fields [2023/10/24 16:27] – dmcpadden184_projects:detecting_b_fields [2023/10/24 16:42] (current) – dmcpadden
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 {{183_projects:magnetic.jpg?600}} {{183_projects:magnetic.jpg?600}}
  
-An experimental magnetic field detector has been constructed outside of the town of Lakeview, due to the presence of a new mysterious particle. You and your team have been contacted to determine the charge of this new particle and construct a model of the magnetic field should look like. Thankfully, you've gotten some initial data from your colleagues. They've were able to measure two different magnetic fields for a particle that was moving with velocity of $\vec{v} = <0, -200, 0> m/s.Thefirstfieldwasmeasured1mtotherightand1mupfromthechargeparticleandfoundtobe\vec{B}_1 = <0, 0, +3.398E-24> T.Thesecondfieldwasmeasured4mbeneaththeparticle,andinterestinglywasfoundtobe\vec{B}_2 = <0,0,0>T$. +An experimental magnetic field detector has been constructed outside of the town of Lakeview, due to the presence of a new mysterious particle. You and your team have been contacted to determine the charge of this new particle and construct a model of what the magnetic field should look like. Thankfully, you've gotten some initial data from your colleagues. They were able to measure two different magnetic fields for a particle that was moving with velocity of $\vec{v} = <0, -20, 0> m/s.Thefirstfieldwasmeasured1mtotherightand1mupfromthechargeparticleandfoundtobe\vec{B}_1 = <0, 0, +7.07E-5> T.Thesecondfieldwasmeasured4mbeneaththeparticle,andinterestinglywasfoundtobe\vec{B}_2 = <0,0,0>T$. 
  
 Your colleagues have also worked on a somewhat constructed model of the field, but it looks like there are some pieces of code that the team wasn't sure what to do with. You will need to select a few locations to model the magnetic field due to the new particles and produce arrows that represent the magnetic field as the particle moves by. This will provide much needed information about these new particles! Your colleagues have also worked on a somewhat constructed model of the field, but it looks like there are some pieces of code that the team wasn't sure what to do with. You will need to select a few locations to model the magnetic field due to the new particles and produce arrows that represent the magnetic field as the particle moves by. This will provide much needed information about these new particles!
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 ## Parameters and Initial Conditions ## Parameters and Initial Conditions
-velocity = vector(0,-200,0) +velocity = vector(0,-20,0) 
-q =  ##??? Don't know this?? +#q =  ??? Don't know this?? 
 + 
 ## Observation Points - Need at least 3??? ## Observation Points - Need at least 3???
    
 ## Objects ## Objects
-charge = sphere(pos=vector(-2,0,0), radius=0.1, color=color.blue)+charge = sphere(pos=vector(0,2,0), radius=0.1, color=color.blue)
 xaxis = cylinder(pos=vector(-3,0,0), axis=vector(6,0,0), radius = 0.01, color=color.black) xaxis = cylinder(pos=vector(-3,0,0), axis=vector(6,0,0), radius = 0.01, color=color.black)
 yaxis = cylinder(pos=vector(0,-3,0), axis=vector(0,6,0), radius = 0.01, color=color.black) yaxis = cylinder(pos=vector(0,-3,0), axis=vector(0,6,0), radius = 0.01, color=color.black)
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 t = 0 t = 0
-dt = 0.01+dt = 0.001
    
-while t < 5:+while t < 2:
    
     rate(100)     rate(100)
    
     charge.pos = charge.pos + velocity*dt     charge.pos = charge.pos + velocity*dt
-    + 
     t = t + dt     t = t + dt
          
          
 +    if charge.pos.y < -3:
 + 
 +            velocity = vector(0,0,0)
 + 
 + 
 ## Not sure what to do with these ## Not sure what to do with these
 + 
 ##p = sphere(pos=vector(-1,-1,0), radius = 0.1, color=color.cyan)  ##p = sphere(pos=vector(-1,-1,0), radius = 0.1, color=color.cyan) 
 ##Barrow = arrow(color=color.red) ##Barrow = arrow(color=color.red)
 ##Barrow.pos = p.pos ##Barrow.pos = p.pos
-##Barrow.axis = vector(0,0,0) +##Barrow.axis = vector(0,0,0)
 </code> </code>
  
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 Conceptual Questions: Conceptual Questions:
-  - What shape is the magnetic field around the moving point charge? (Hint: make multiple observation points and move them around) +  - Why is B2 equal to zero? 
-  - What is the magnetic field if the observation point is inline with the moving charge? Does this make sense? (e.g. if the charge is moving in the +x direction, put the observation point at (5, 0, 0 ) & see what happens) +  - How is magnetic field different than electric field? What is similar?
-  - How is magnetic field different than electric field? +
-  - How would you calculate the magnetic field? (Pick an observation point and do a sample calculation)+
   - What is a cross product? What role does it serve in the magnetic field equation?    - What is a cross product? What role does it serve in the magnetic field equation? 
 +  - How does the right hand rule work for calculating the magnetic field?
   - What is a "normal" size for magnetic fields? (Look up how big is Earth's magnetic field, fridge magnet, etc.)   - What is a "normal" size for magnetic fields? (Look up how big is Earth's magnetic field, fridge magnet, etc.)
 +  - What shape is the magnetic field around the moving point charge? (Hint: make multiple observation points and move them around)
   - What assumptions did you make for the problem? How would you evaluate your answer?   - What assumptions did you make for the problem? How would you evaluate your answer?
 +
  
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