Updated 1 p.m. Thursday
Rhodes attempted to meet with a child he met online to have sex, said Brian Lamkin, the special agent in charge of the FBI's Atlanta field office.
But there was no child. Instead, FBI agents and other task force members met Rhodes in Chatsworth and arrested the self-employed engineer.
Undercover agents had tracked Rhodes' actions online and set up the meeting that resulted in his arrest, Lamkin said.
Rhodes is facing state charges of attempted aggravated child molestation and violation of the Computer Pornography and Child Exploitation Act.
He was booked into the Murray County Jail.
The Atlanta Journal-Constitution reported that Rhodes is registered with the state as the secretary and chief financial officer of Taylorsville Baptist Church.