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[en] One factor limiting the accelerating gradients in radiofrequency (rf) cavities are field emission currents emitted by micro-emitters. The value of emitter heating power plays a key role in theories of an rf cavity processing allowing to enhance the accelerating gradient. In this paper, the emitter heating by rf current is studied. This heating mechanism associates with a large heating power (by several orders of magnitude higher than the power of field emission current) and demonstrates explicit dependence on the frequency of the electromagnetic rf field (scales with the square of the rf field frequency).