Difference between revisions of "Big Red"

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Table:  Data for  B=0.0015 T.
 
Table:  Data for  B=0.0015 T.
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Momentum Radius of Curvature Bend Angle Displacement @ end of magnet
+
{| border="1" cellpadding="2"
−
P (MeV) R (m) θ (radians) θ (degrees) d (cm)
+
!width="70"|MOMENTUM
−
1 2.22376032 0.12398179 7.103633471 1.706936726
+
|-
−
2 4.44752065 0.06187167 3.544985606 0.851006969
+
!width="70"|Radius of Curvature
−
3 6.67128097 0.04123315 2.362485567 0.567036176
+
!width="70"|Bend Angle
−
4 8.89504129 0.03092103 1.77164444 0.425198022
+
!width="70"|Displacement @ end of magnet
−
5 11.1188016 0.0247354 1.417234227 0.340129141
+
 
−
6 13.3425619 0.02061219 1.180991717 0.283427701
+
|-
−
7 15.5663223 0.01766726 1.012259595 0.242931183
+
−
8 17.7900826 0.01545867 0.885716346 0.212560897
+
|P (MeV)||R (m)||θ (radians)||θ (degrees)||d (cm)
−
9 20.0138429 0.01374092 0.787296837 0.18894065
+
|-
−
10 22.2376032 0.01236676 0.708562916 0.17004506
+
|1||2.22376032||0.12398179||7.103633471||1.706936726
−
11 24.4613636 0.01124246 0.644145256 0.154585392
+
|-
−
12 26.6851239 0.01030555 0.590464498 0.141702561
+
|2||4.44752065||0.06187167||3.544985606||0.851006969
−
13 28.9088842 0.00951279 0.545042725 0.13080185
+
|-
−
14 31.1326445 0.00883329 0.50611005 0.121458483
+
|3||6.67128097||0.04123315||2.362485567||0.567036176
−
15 33.3564048 0.00824439 0.472368588 0.113360965
+
|-
−
16 35.5801652 0.0077291 0.442844944 0.106275686
+
|4||8.89504129||0.03092103||1.77164444||0.425198022
 +
|-
 +
|5||11.1188016||0.0247354||1.417234227||0.340129141
 +
|-
 +
|6||13.3425619||0.02061219||1.180991717||0.283427701
 +
|-
 +
|7||15.5663223||0.01766726||1.012259595||0.242931183
 +
|-
 +
|8||17.7900826||0.01545867||0.885716346||0.212560897
 +
|-
 +
|9||20.0138429||0.01374092||0.787296837||0.18894065
 +
|-
 +
|10||22.2376032||0.01236676||0.708562916||0.17004506
 +
|-
 +
|11||24.4613636||0.01124246||0.644145256||0.154585392
 +
|-
 +
|12||26.6851239||0.01030555||0.590464498||0.141702561
 +
|-
 +
|13||28.9088842||0.00951279||0.545042725||0.13080185
 +
|-
 +
|14||31.1326445||0.00883329||0.50611005||0.121458483
 +
|-
 +
|15||33.3564048||0.00824439||0.472368588||0.113360965
 +
|-
 +
|16||35.5801652||0.0077291||0.442844944||0.106275686
 +
|}
  
  
  
 
[http://wiki.iac.isu.edu/index.php/New_Magnets Go Back]
 
[http://wiki.iac.isu.edu/index.php/New_Magnets Go Back]

Revision as of 22:26, 13 May 2009

Specs:

TESLA ENGINEERING: 7 Degree Bend Angle Dipole

[math]B=0.35 T[/math]

Current: [math]138 A[/math]

Resistance: [math]0.116 ohm[/math]

Voltage: [math]V=IR=16.008 V[/math]

Water Flow: [math]1.2 L/minute[/math]


CALCULATIONS

Calculating the Magnetic Field Needed:

Lorentz Force equation: F=q(v×B)

Electron moves through the magnetic field B accelerated by force F proportional to the component of velocity perpendicular to the field B and velocity v. Moves with constant kinetic energy and speed due to the fact that the magnetic field never does work on the particle since the always moves perpendicular to the force.

Magnetic force: F=evB

The radius of the arc can be through: (mv^2)/R=evB

giving R=mv/eB The length of the circular arc is S and the deflection angle is found as sinθ=S/R

For small θ, and large R, the arc length S will be approx L, giving sinθ=L/R=LeB/mv Giving θ=sin^(-1)⁡〖 (cBL/p)〗 The displacement is found as: d=R-Rcosθ=mv/eB(1-cosθ)

Table: Data for B=0.0015 T.

MOMENTUM
Radius of Curvature Bend Angle Displacement @ end of magnet
P (MeV) R (m) θ (radians) θ (degrees) d (cm)
1 2.22376032 0.12398179 7.103633471 1.706936726
2 4.44752065 0.06187167 3.544985606 0.851006969
3 6.67128097 0.04123315 2.362485567 0.567036176
4 8.89504129 0.03092103 1.77164444 0.425198022
5 11.1188016 0.0247354 1.417234227 0.340129141
6 13.3425619 0.02061219 1.180991717 0.283427701
7 15.5663223 0.01766726 1.012259595 0.242931183
8 17.7900826 0.01545867 0.885716346 0.212560897
9 20.0138429 0.01374092 0.787296837 0.18894065
10 22.2376032 0.01236676 0.708562916 0.17004506
11 24.4613636 0.01124246 0.644145256 0.154585392
12 26.6851239 0.01030555 0.590464498 0.141702561
13 28.9088842 0.00951279 0.545042725 0.13080185
14 31.1326445 0.00883329 0.50611005 0.121458483
15 33.3564048 0.00824439 0.472368588 0.113360965
16 35.5801652 0.0077291 0.442844944 0.106275686


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