Either way the bill is in his name so he is responsible to the power company and they cannot go after you. If he wanted to collect on any bills owing he shoud have mentioned it in the divorce case. If your divorce papers do nt state that you are responsible for the utilities while you continue to live there then he really has no recourse.
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He can try but if the power was in his name, he is ultimately responsible. If there is no court order requiring you to pay that bill, then your ex would be hard pressed to force you to pay it.
You would be responsible for the bill. It appears that this bill was run up after the divorce by you. While it is in his name, you were the one that benefited from it. This is similar to the law school case where someone comes over to mow your lawn without you asking, and you sit there and watch. Then you refuse to pay. It is called Unjust Enrichment. However, there is no guarantees in court, and he may loses his case.