You have been asked to determine if a proposed apparatus to implant ions in silicon to make better semiconductors will work. The apparatus slows down positive He ions that have a charge twice that of an electron (He++). It consists of a circular wire that is connected to a power supply so that it becomes a negatively charged circle. An ion with a velocity of 200 m/s on a trajectory perpendicular to the plane of the circle is shot out from the center of the circle. The wire circle has a radius of 3.0 cm and can have a charge up to 8.0 μC. The sample into which the ion is to be implanted is to be placed 2.5 mm from the charged circle. You look up the charge of an electron and mass of the helium and find them to be 1.6 × 10-19 C and 6.7 x 10-27 kg. [Hint: You want the ion to come to rest just as it reaches the sample. Use the potential along the axis of a charged ring and conservation of energy.]

Principles of Physics: A Calculus-Based Text
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You have been asked to determine if a proposed apparatus to implant ions in silicon
to make better semiconductors will work. The apparatus slows down positive He ions
that have a charge twice that of an electron (He++). It consists of a circular wire that
is connected to a power supply so that it becomes a negatively charged circle. An ion
with a velocity of 200 m/s on a trajectory perpendicular to the plane of the circle is shot
out from the center of the circle. The wire circle has a radius of 3.0 cm and can have a
charge up to 8.0 C. The sample into which the ion is to be implanted is to be placed
2.5 mm from the charged circle. You look up the charge of an electron and mass of the
helium and find them to be 1.6 × 10-19 C and 6.7 x 10-27 kg. [Hint: You want the
ion to come to rest just as it reaches the sample. Use the potential along the axis of a
charged ring and conservation of energy.]
Transcribed Image Text:You have been asked to determine if a proposed apparatus to implant ions in silicon to make better semiconductors will work. The apparatus slows down positive He ions that have a charge twice that of an electron (He++). It consists of a circular wire that is connected to a power supply so that it becomes a negatively charged circle. An ion with a velocity of 200 m/s on a trajectory perpendicular to the plane of the circle is shot out from the center of the circle. The wire circle has a radius of 3.0 cm and can have a charge up to 8.0 C. The sample into which the ion is to be implanted is to be placed 2.5 mm from the charged circle. You look up the charge of an electron and mass of the helium and find them to be 1.6 × 10-19 C and 6.7 x 10-27 kg. [Hint: You want the ion to come to rest just as it reaches the sample. Use the potential along the axis of a charged ring and conservation of energy.]
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