An electrically operated aerosol-generating system comprising: an aerosol-generating device; a charging unit configured to receive the aerosol-generating device; and a first connector part and a second connector part, the aerosol-generating device having one of the first connector part and the second connector part and the charging unit having the other one of the first connector part and the second connector part, wherein: the first connector part comprises: a first electrical contact; a second electrical contact substantially circumscribing the first electrical contact; and a third electrical contact substantially circumscribing the second electrical contact; the second connector part comprises: a face and a projection arranged substantially centrally in the face, the projection being defined by an end face, and at least one sidewall extending between the face and the end face of the projection; a first electrical contact arranged on the projection at the at least one sidewall of the projection; a second electrical contact arranged at the face, spaced radially outwardly from the first electrical contact; and a third electrical contact arranged at the face, spaced radially outwardly from the first electrical contact and the second electrical contact; no electrical contacts are arranged at the end face of the projection of the second connector part; the first and second connector parts (1, 21) are arranged such that when the aerosol-generating device is received by the charging unit the first and second connector parts (1, 21) electrically engage; and the electrical contacts of the first and second connector parts (1, 21) are arranged such that when the first and second connector parts (1, 21) electrically engage: the first electrical contact of the first connector part electrically engages the first electrical contact of the second connector part; the second electrical contact of the first connector part electrically engages the second electrical contact of the second connector part; and the third electrical contact of the first connector part electrically engages the third electrical contact of the second connector part, regardless of the angular position of the second connector part relative to the first connector part. an aerosol-generating device; a charging unit configured to receive the aerosol-generating device; and a first connector part and a second connector part, the aerosol-generating device having one of the first connector part and the second connector part and the charging unit having the other one of the first connector part and the second connector part, the first connector part comprises: a first electrical contact; a second electrical contact substantially circumscribing the first electrical contact; and a third electrical contact substantially circumscribing the second electrical contact; the second connector part comprises: a face and a projection arranged substantially centrally in the face, the projection being defined by an end face, and at least one sidewall extending between the face and the end face of the projection; a first electrical contact arranged on the projection at the at least one sidewall of the projection; a second electrical contact arranged at the face, spaced radially outwardly from the first electrical contact; and a third electrical contact arranged at the face, spaced radially outwardly from the first electrical contact and the second electrical contact; no electrical contacts are arranged at the end face of the projection of the second connector part; the first and second connector parts (1, 21) are arranged such that when the aerosol-generating device is received by the charging unit the first and second connector parts (1, 21) electrically engage; and the electrical contacts of the first and second connector parts (1, 21) are arranged such that when the first and second connector parts (1, 21) electrically engage: the first electrical contact of the first connector part electrically engages the first electrical contact of the second connector part; the second electrical contact of the first connector part electrically engages the second electrical contact of the second connector part; and the third electrical contact of the first connector part electrically engages the third electrical contact of the second connector part, the first electrical contact of the first connector part electrically engages the first electrical contact of the second connector part; the second electrical contact of the first connector part electrically engages the second electrical contact of the second connector part; and the third electrical contact of the first connector part electrically engages the third electrical contact of the second connector part, regardless of the angular position of the second connector part relative to the first connector part.