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Published online by Cambridge University Press: 04 August 2017
Present ideas concerning the electric heating of the solar corona are reviewed. We consider in some more detail the dissipation of MHD waves in strong horizontal gradients of the Alfvén velocity. Then we consider the evolution of DC currents in the solar corona. Some theories aiming at the evaluation of the net rate of energy dissipation by such mechanisms will be described. A short account will be given of a recent analytical study based on a generalization of Taylor's hypothesis concerning the evolution of magnetic helicity in plasma with a large magnetic Reynolds number.