An electronic device, comprising: control circuitry; and an antenna having an antenna resonating element arm and an antenna ground configured to resonate in at least a first communications band and a second communications band that is higher in frequency than the first communications band, having an inductor, and having a switch, wherein the inductor and switch are coupled in series between antenna resonating element arm and the antenna ground, wherein the switch is configured to switch between an open state and a closed state in response to control signals from the control circuitry, and wherein the antenna is configured to resonate in a lower frequency portion of the first communications band and in the second communications band in response to placing the switch in the closed state and wherein the antenna is configured to resonate in a higher frequency portion of the first communications band and in the second communications band in response to placing the switch in the open state; characterised in that the electronic device further comprises: a housing containing conductive structures that form the antenna ground for the antenna and having a peripheral conductive member that runs around edges of the housing, wherein a segment of the peripheral conductive member forms the antenna resonating element arm for the antenna, the segment is separated from the antenna ground by first and second dielectric gaps at the ends of segment, and the first and second dielectric gaps (18A, 18B) are formed on opposing external surfaces of the electronic device. control circuitry; and an antenna having an antenna resonating element arm and an antenna ground configured to resonate in at least a first communications band and a second communications band that is higher in frequency than the first communications band, having an inductor, and having a switch, wherein the inductor and switch are coupled in series between antenna resonating element arm and the antenna ground, wherein the switch is configured to switch between an open state and a closed state in response to control signals from the control circuitry, and wherein the antenna is configured to resonate in a lower frequency portion of the first communications band and in the second communications band in response to placing the switch in the closed state and wherein the antenna is configured to resonate in a higher frequency portion of the first communications band and in the second communications band in response to placing the switch in the open state; characterised in that the electronic device further comprises: a housing containing conductive structures that form the antenna ground for the antenna and having a peripheral conductive member that runs around edges of the housing, wherein a segment of the peripheral conductive member forms the antenna resonating element arm for the antenna, the segment is separated from the antenna ground by first and second dielectric gaps at the ends of segment, and the first and second dielectric gaps (18A, 18B) are formed on opposing external surfaces of the electronic device. a housing containing conductive structures that form the antenna ground for the antenna and having a peripheral conductive member that runs around edges of the housing, wherein a segment of the peripheral conductive member forms the antenna resonating element arm for the antenna, the segment is separated from the antenna ground by first and second dielectric gaps at the ends of segment, and the first and second dielectric gaps (18A, 18B) are formed on opposing external surfaces of the electronic device.