  We consider resonance production by neutrinos focusing on the dominant
resonance $P_{33}$ at low energies with a detailed discussion of its form
factors. The results are presented for free nucleon targets. The $\Delta$
resonance is described by two form factors $C_3^V$ and $C_5^A$ and its
differential cross sections are compared with experimental data. Further, we
apply this approach to the electroproduction case and calculate its
differential cross sections which are compared with electroproduction
experimental data. Our approach to the analysis of $\Delta$ resonance is
particularly simple and self-contained such that it could be helpful for the
physical interpretation.
