# Worksheet: Electric Potential Energy of a Charged Particle

In this worksheet, we will practice using the electric fields of distribution of electric charges to determine the electrical potential energy of charges.

Q1:

An ion with twice the charge of an electron is accelerated from rest to a kinetic energy of 32.0 keV by the electric field between two parallel conducting plates. If the plates are separated by a distance of 2.00 cm, what is the electric field strength between the plates?

Proton charge is C.

• A V/m
• B V/m
• C V/m
• D V/m
• E V/m

Q2:

A negative hydrogen ion is a hydrogen atom containing two electrons. An electron and a negative hydrogen ion are accelerated through the same potential. Find the ratio of their speeds after acceleration, assuming the speeds are non-relativistic. Use a value of kg for the mass of the hydrogen ion.

Q3:

To form a helium atom, an alpha particle that contains two protons and two neutrons is fixed at one location, and two electrons are brought in from far away, one at a time. The first electron is placed at m from the alpha particle and held there while the second electron is brought to m from the alpha particle on the other side from the first electron, as shown.

The charge of an electron is C and the charge of a proton is C.