A former Boston correctional officer has been accused of raping an inmate at a jail in the city this summer.

William Cooper, 37, of Boston was charged with one count of rape of a person in custody and arraigned in Suffolk Superior Court on Friday, according to the Suffolk County District Attorney’s Office.

Cooper was ordered held on a $5,000 bail, and he is due back in court on Oct. 17. Under Massachusetts law, people who are in custody are incapable of consenting to sexual intercourse.

Cooper is accused of engaging in sexual intercourse with a South Bay House of Correction inmate while he was on-duty on July 7, prosecutors said. He had only been employed at South Bay for two months at the time.

The encounter — which lasted for 10 minutes — happened in an empty caseworker’s office loca

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