1 X C X lon source b) The minimum width, X, of region 1: m Z c) The kinetic energy of the particles when they exit region 2: 80 keV d) The velocity of the particles when they exit region 2: e) The magnitude of the magnetic field in region 3 |B3|: X x 10 m/s X X X €2 у A small particle accelerator for accelerating He+ ions is shown in the figure. The ³He+ ions exit the ion source with a kinetic energy of 15 keV. Regions 1 and 3 contain magnetic fields directed into the page which bend the beam around. The magnetic field in region 1, B₁, is equal to 0.6 T. Region 2 has a width y=0.5m and contains an electric field |E₂| = 130 kv/m directed from left to right, which accelerates the particles. The ³He+ ion beam exits the accelerator a distance z = 7.5 cm above the ion source, as shown in the figure. Find: a) The speed of the particles when they exit region 1: 0.978 <10% m/s X X X X X X X X X X X X X B 3 Note: In reality, the ions would be passed multiple times through the E field, to accelerate them up to a very high speed, before they are released. lamu 1.67 x 10-27 kg

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B
1
X
X
X XI
X
X
X
X X
X
lon source
b) The minimum width, X, of region 1 m
Z
d) The velocity of the particles when they exit region 2:
e) The magnitude of the magnetic field in region 3 |B3|:
X
X
c) The kinetic energy of the particles when they exit region 2: 80 keV
T
X
E2
X
y
A small particle accelerator for accelerating ³ He+ ions is shown in the figure. The ³ He+ ions exit the ion source with a kinetic energy of 15 keV.
Regions 1 and 3 contain magnetic fields directed into the page which bend the beam around. The magnetic field in region 1, B₁, is equal to 0.6 T.
Region 2 has a width y=0.5m and contains an electric field |E₂| = 130 kV/m directed from left to right, which accelerates the particles.
The ³ He+ ion beam exits the accelerator a distance z = 7.5 cm above the ion source, as shown in the figure.
Find:
a) The speed of the particles when they exit region 1: 0.978 x10 m/s
x 10 m/s
XI
X
X
X
X
X
X
X
X
X
X
X
X
X X
X X
B 3
Note: In reality, the ions would be passed multiple times through the E field, to accelerate them up to a very high speed, before they are released.
1amu = 1.67 x 10-27 kg
Transcribed Image Text:B 1 X X X XI X X X X X X lon source b) The minimum width, X, of region 1 m Z d) The velocity of the particles when they exit region 2: e) The magnitude of the magnetic field in region 3 |B3|: X X c) The kinetic energy of the particles when they exit region 2: 80 keV T X E2 X y A small particle accelerator for accelerating ³ He+ ions is shown in the figure. The ³ He+ ions exit the ion source with a kinetic energy of 15 keV. Regions 1 and 3 contain magnetic fields directed into the page which bend the beam around. The magnetic field in region 1, B₁, is equal to 0.6 T. Region 2 has a width y=0.5m and contains an electric field |E₂| = 130 kV/m directed from left to right, which accelerates the particles. The ³ He+ ion beam exits the accelerator a distance z = 7.5 cm above the ion source, as shown in the figure. Find: a) The speed of the particles when they exit region 1: 0.978 x10 m/s x 10 m/s XI X X X X X X X X X X X X X X X X B 3 Note: In reality, the ions would be passed multiple times through the E field, to accelerate them up to a very high speed, before they are released. 1amu = 1.67 x 10-27 kg
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