A local coil arrangement for magnetic resonance applications has an acquisition coil for acquisition of a magnetic resonance signal excited in an examination subject by means of a transmission coil; and a transponder. The transponder is coupled to the acquisition coil such that it can be fed with electrical energy via the acquisition coil The transponder is fashioned to send a transponder signal on a transponder frequency when and as soon as an excitation signal induced in the acquisition coil by means of the transmission coil exceeds a threshold. When the control device receives the transponder signal, it adjusts the further operation of the transmission antenna or operates it only with reduced power.