Kicker Magnets

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Field needed to bend 44 MeV electrons 0.47 degrees

B field trajectory2.jpg


1MeV=1.61013J=1.61013m2kgs2

c=2.998108ms

MeVC=0.5341021mkgs

pe=44MeVc=23.51021mkgs


B=peqeR

1T=kgCs, qe=1.61019C, 1T=104G

B(T)=pe(MeVc)0.33102R(m)


B(T)=4.67102R(m)

1800=κ+900+β

1800=γ+900+β

κ=γ

R=acos(β)=acos(900κ)=asin(κ)

d=R(1cos(κ))=a(1cos(κ))sin(κ)

B(T)=pe(MeVc)0.33102sin(κ)a(m) - general expression for B-field.

B(T)=7.83102sin(κ)a(m)

If κ=0.470 then sin(κ)=0.0082 and our B-field becomes:

B(T)=1.2103a(m)

a0.125m for the coils under consideration. Hence, the B-field needed is:

B=0.00964T=96.4G

Magnetic Field Produced by Coils

300px

z=L+z

z=zL

B_z = \frac {μ_0 }{2} \frac {R^2 \cdot I}{(z_n^{'2}  + R^{'2})^{\frac{3}{2}}

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