Electric field effect on reactions
Would the reactions in the solution be affected?


Yes, they can be.  Here are some nice examples.  Electric fields also exert a significant effect on electron transfer reactions.  Basically you would expect charged molecules to be more affected than polar molecules, which should be more affected than non-polar, but polarizable molecules.  It's just a question of how big a field you can produce and how polarized and long-lived are the various entities (starting materials, intermediates, etc.) that exist along the reaction coordinate.