Purchase Solution

# Force on ions subjected to electric and magnetic fields

Not what you're looking for?

A uniform electric field of 1.6 x 10^3 V/m and a uniform magnetic field of 3.34 x 10^-3 Wb/m^2 are parallel to each other and are acting along the Z-direction. A beam of Hydrogen ions of energy 150 eV is released in the X direction. A photographic plate is placed normal to the motion of the ions at a distance of 0.5m from the origin.
(1) How long after leaving the gun, will the ions hit the plate?
(2) Calculate the displacement of the ions in the Y and Z directions.

##### Solution Summary

The forces on ions subjected to electric and magnetic fields are examined. Explanations with the underlying physics.

##### Solution Preview

Mass of hydrogen ion MH = 1.67 x 10 -27 kg
Energy of the ion KE = ½ mv2 = 150 eV
150 x 1.6 x 10 -19 Joule

Therefore v = {2KE/MH} 1/2 = {2 x 150 x 1.6 x 10 -19 /1.67 x 10 -27} ½
...

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.