  We have extended a model for the $\gamma N\to \pi\pi N$ reaction to virtual
photons and selected the diagrams which have a $\Delta$ in the final state.
With this model we have evaluated cross sections for the virtual photon cross
section as a function of $Q^2$ for different energies. The agreement found with
the $\gamma_v p\to\Delta^0\pi^+$ and $\gamma_v p\to\Delta^{++}\pi^-$ reactions
is good. The sensitivity of the results to $N\Delta$ transition form factors is
also studied. The present reaction, selecting a particular final state, is an
extra test for models of the $\gamma_{v} N\to \pi\pi N$ amplitude. The
experimental measurement of the different isospin channels for this reaction
are encouraged as a means to unravel the dynamics of the two pions
photoproduction processes.
