The present invention relates to methods and arrangements for assisting a User Equipment (UE) to determine transmit power to be used on a first uplink component carrier y, wherein the base station is configured to communicate with the UE over a plurality of uplink and downlink component carriers x,y. The UE is aware of path loss parameters associated with a second downlink component carrier x. The method in a base station comprises determining cell specific path loss parameters associated with the component carriers of the base station. The cell specific path loss parameters at least comprises path loss parameters associated with the first uplink component carrier y and a second uplink component carrier x which is paired to the second downlink component carrier x, wherein the second uplink component carrier and second downlink component carrier are within one frequency band. The method comprises the further steps of calculating a pathloss offset, deltaPL(y,x), for the first uplink component carrier y, wherein the pathloss offset deltaPL(y,x) is the pathloss power offset for the first uplink component carrier y with respect to the second uplink component carrier x, and sending the calculated pathloss offset, deltaPL(y,x) to the UE.