To determine the charge of an electron, consider designing a novel experiment inspired by Robert Millikan's oil drop experiment, which famously measured the electron's charge. Suggestions include exploring variations in the method or using different materials to create a similar setup. It's important to ensure that the experiment is unique and not a direct replication of existing methods. Researching existing literature on electron charge measurement can provide insights and spark innovative ideas. A fresh approach could lead to valuable findings in experimental physics.