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Since magnetic fields in galaxies, galactic clusters and even void regionsare observed, theoretical attempts to explain their origin are stronglymotivated. It is interesting to consider that inflation is responsible for theorigin of the magnetic fields as well as the density perturbation. However, itis known that inflationary magnetogenesis suffers from several problems. Weexplore these problems by using a specific model, namely the kinetic couplingmodel, and show how the model is constrained. Model independent arguments arealso discussed.

Void magnetic field and its primordial origin in inflation