The issue is whether or not the electricity was on in your apartment during that time. If it was on, then you would be responsible for either actual charges or at least any minimums which the utility charges. It may be the case that the electricity *had* to be on--leases, for example, often require the tenants to maintain utilities--or it may be the case that you did not make sure it was properly turned off and that the utility knew it was to be turned off.So, if off--or if you did everything you should have done to make sure it was off and someone else (e.g. at the power company; or your landlord) erred in turning it on, you probably don't have to pay (though proving this may be difficult); if on (including where you wanted it off, but didn't deactivate it properly), you would have to pay.