An electrically operated aerosol-generating system comprising: an aerosol-generating device (101, 201 201'); a charging unit configured to receive the aerosol-generating device (101, 201 201'); and a first connector part (40, 240, 240') and a second connector part (50, 250, 250'), the aerosol-generating device (101, 201 201') having one of the first connector part (40, 240, 240') and the second connector part (50, 250, 250') and the charging unit having the other one of the first connector part (40, 240, 240') and the second connector part (50, 250, 250'), wherein: the first connector part (40, 240, 240') comprises: a face and a recess arranged substantially centrally in the face, the recess having a closed end, an open end at the face and a sidewall extending between the open end and the closed end; a first electrical contact arranged at the closed end of the recess; a second electrical contact arranged at the sidewall of the recess and substantially circumscribing the first electrical contact; and a third electrical contact arranged at the face and substantially circumscribing the first electrical contact; the second connector part (50, 250, 250') comprises: a first electrical contact; a second electrical contact spaced radially outwardly from the first electrical contact; and a third electrical contact spaced radially outwardly from the first electrical contact; the first and second connector parts are arranged such that when the aerosol-generating device (101, 201 201') is received by the charging unit the first and second connector parts electrically engage; and the electrical contacts of the first and second connector parts are arranged such that when the first and second connector parts electrically engage: the first electrical contact of the first connector part (40, 240, 240') electrically engages the first electrical contact of the second connector part (50, 250, 250'); the second electrical contact of the first connector part (40, 240, 240') electrically engages one of the second electrical contact and the third electrical contact of the second connector part (50, 250, 250'); and the third electrical contact of the first connector part (40, 240, 240') electrically engages the other one of the second electrical contact and the third electrical contact of the second connector part (50, 250, 250'), regardless of the angular position of the second connector part (50, 250, 250') relative to the first connector part (40, 240, 240'). an aerosol-generating device (101, 201 201'); a charging unit configured to receive the aerosol-generating device (101, 201 201'); and a first connector part (40, 240, 240') and a second connector part (50, 250, 250'), the aerosol-generating device (101, 201 201') having one of the first connector part (40, 240, 240') and the second connector part (50, 250, 250') and the charging unit having the other one of the first connector part (40, 240, 240') and the second connector part (50, 250, 250'), the first connector part (40, 240, 240') comprises: a face and a recess arranged substantially centrally in the face, the recess having a closed end, an open end at the face and a sidewall extending between the open end and the closed end; a first electrical contact arranged at the closed end of the recess; a second electrical contact arranged at the sidewall of the recess and substantially circumscribing the first electrical contact; and a third electrical contact arranged at the face and substantially circumscribing the first electrical contact; the second connector part (50, 250, 250') comprises: a first electrical contact; a second electrical contact spaced radially outwardly from the first electrical contact; and a third electrical contact spaced radially outwardly from the first electrical contact; the first and second connector parts are arranged such that when the aerosol-generating device (101, 201 201') is received by the charging unit the first and second connector parts electrically engage; and the electrical contacts of the first and second connector parts are arranged such that when the first and second connector parts electrically engage: the first electrical contact of the first connector part (40, 240, 240') electrically engages the first electrical contact of the second connector part (50, 250, 250'); the second electrical contact of the first connector part (40, 240, 240') electrically engages one of the second electrical contact and the third electrical contact of the second connector part (50, 250, 250'); and the third electrical contact of the first connector part (40, 240, 240') electrically engages the other one of the second electrical contact and the third electrical contact of the second connector part (50, 250, 250'), regardless of the angular position of the second connector part (50, 250, 250') relative to the first connector part (40, 240, 240'). the first electrical contact of the first connector part (40, 240, 240') electrically engages the first electrical contact of the second connector part (50, 250, 250'); the second electrical contact of the first connector part (40, 240, 240') electrically engages one of the second electrical contact and the third electrical contact of the second connector part (50, 250, 250'); and the third electrical contact of the first connector part (40, 240, 240') electrically engages the other one of the second electrical contact and the third electrical contact of the second connector part (50, 250, 250'), regardless of the angular position of the second connector part (50, 250, 250') relative to the first connector part (40, 240, 240').