  We study the backreaction problem in a mechanism of magnetogenesis from
inflation. In usual analysis, it has been assumed that the backreaction due to
electromagnetic fields spoils inflation once it becomes important. However,
there exists no justification for this assumption. Hence, we analyze
magnetogenesis from inflation by taking into account the backreaction. On the
contrary to the naive expectation, we show that inflation still continues even
after the backreaction begins to work. Nevertheless, it turns out that creation
of primordial magnetic fields is significantly suppressed due to the
backreaction.
