1) How uniform is the magnetic field around the midplane for h = R setting? Give
ID: 2031680 • Letter: 1
Question
1) How uniform is the magnetic field around the midplane for h = R setting? Give answers in terms of % deviation for ±1cm, ±2cm, ±3cm, ect. First in the axial direction, then in the radial direction starting from the center point.Radius=0.1008 m Turns=200 Current =1.0600A Separation = 0.1000m
2) What energy would an electron have which orbits at a radius of 3cm in the magnetic field that was measured at the h = R setting? DATA TABLE Data for Question. Position8 8 (relative (Axial) (Radial) [cm] G Gaus to center 46 -5 1.9 114
Explanation / Answer
1)
In the axial direction the magnetic field is perfectly uniform.
In the radial direction the field is slightly fluctuating but can be considered uniform with slight deviation around the mean
2) at 3cm B = 17.6 Gauss.
radiaus of electron orbit R = 3 cm
for a charged particle orbiting in a magnetic field
Bvq = mv2/R
p = mv = BqR
m=9.0e-31kg ,mass of electron
q = 1.6e-19 C
R = 0.03 m
B = 17.6 Gauss = 17.6e-4 T
KE energy of the electron E = p2 /2m = B2q2R2/2m
= (17.6e-4)2 (1.6e-19)2 (0.03)2 /2*9.0e-31
= 3.96e-17 J
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