Question

You have been asked to review a new apparatus, which is proposed for use at a new semiconductor ion implantation facility. One part of the apparatus is used to slow down He ions which are positive and have a charge twice that of an electron (He++). This part consists of a circular wire that is charged negatively so that it becomes a circle of charge. The ion has a velocity of 182.7 m/s when it passes through the center of the circle of charge on a trajectory perpendicular to the plane of the circle. The circle has a charge of 7 nC and radius of 3.6 cm. The sample with which the ion is to collide will be placed 3.4 mm from the charged circle.  To check if this device will work, you decide to calculate the distance from the circle that the ion goes before it stops. To do this calculation, you assume that the circle is very much larger than the distance the ion goes and that the sample is not in place. Will the ion reach the sample? You look up the charge of an electron and mass of the helium in your trusty Physics text to be 1.6 x 10-19 C and 6.7 x 10-27 kg.

Compute the magnitude of the acceleration on the ion.

Answer format is exponential to 1 decimal place. For example, 2.9 x 10^-13is written 2.9e-13.

You'll need to recompute the force value if the numbers changed.

Assume that the acceleration of the ion in the previous problem is 2.6 × 10¹¹ m/s².

What will the displacement of the ion be if its speed along the axis is 190.1 m/s?

Answer format is exponential to 1 decimal place. For example, 2.9 x 10^-13 is written 2.9e-13.

Answer 1