As most legal questions go, this all depends on what the lease says. You should review the lease to determine the rights and responsibilities of each party.
It does seem highly unusual that a lease would allow such action. It seems likely that he may have had to impersonate you in order to take such action.
I believe the first step I would undertake would be to contact the electric company and find out how your name was placed on the account. If it appears he impersonated you I would notify the electric company to report the misrepresentation.
This could be handled either civilly or potentially criminally. I would probably draft a letter to landlord informing him of your intended action unless he:
1. Removed your name from the account; and
2. Paid the balance owed in full.