The primary objective of this project is to characterize the electric field noise above the surface of two different types of electrical conductors: thin gold films and graphene films. Although I have worked previously with gold films as electrodes in trapped ion quantum information experiments, I have not previously studied the electric field noise inherent in these films. The study of this noise will require learning new models from solid-state physics to understand the properties of the field noise. Furthermore, characterization of the field noise will require learning new measurement tools and techniques. Understanding the properties of the electric field noise is the first step towards reducing their unwanted effects, one of the remaining technical challenges for trapped ion quantum information experiments. Graphene, an exotic new type of film discovered only a few years ago, may be a possible replacement electrode material with much better properties than thin gold films. I have not previously done research with graphene and learning the physics associated with this remarkable material would be part of this project. I propose characterizing the electric field noise above both gold and graphene electrodes by using two different measurement tools available at Purdue University in collaboration with Dr. Yong Chen, Assistant Professor of Physics and Electrical Engineering. I hope to expand my ability to teach students about solid-state physics in our Advanced Laboratory research course by adding a solid-state physics project based on the noise characterization of thin films. I also hope that this work leads to an ongoing research collaboration with Dr. Chen in which my students can participate.