To avoid undesirable electrostatic discharge events while maintaining low leakage currents, earbuds may be provided with controlled electrostatic discharge paths. The discharge paths may include discrete components such as resistors or more distributed resistive components such as resistive elastomers. A resistive elastomer may be incorporated into an interior portion of an earbud between an earbud housing structure and a ground path. A resistive elastomer may also be used in forming an ear bud tip.