When people get their wires crossed, they have a different understanding of the same situation. They get confused, mixed up or make a mistake.
An electrician is a person whose job is to put in, check or repair electrical wires and equipment.
"Somehow we got our wires crossed because I thought we were going to meet at the coffee shop and Sarah thought we were meeting in the bar."
"Jenny got her wires crossed. I told her to email John, but she emailed James."