What offense has the wife committed if she takes her husband's car without his consent?

The appropriate response is that the wife has committed the offense of Unauthorized Use of a Vehicle. This offense typically involves taking a vehicle without the owner's permission, regardless of the relationship between the parties. In this case, since the car belongs to her husband and she took it without his consent, it fits the criteria for unauthorized use, which is defined by the intention to use someone else's vehicle without permission.

The other options do not apply in this context. Theft of Service generally involves unlawfully obtaining services without payment, which is not relevant to the scenario of taking a vehicle. Public Lewdness and Indecent Exposure are related to sexual misconduct and are unrelated to the ownership or use of a vehicle, making them irrelevant to this specific situation. Thus, Unauthorized Use of a Vehicle is the correct classification of the wife's action.