What offense occurred if John pushes his wife, resulting in a fractured arm and choking her?

The offense committed by John can be categorized as aggravated assault due to the nature and severity of the actions involved. Aggravated assault typically involves causing serious bodily injury or the use of a deadly weapon during the commission of the assault. In this case, pushing his wife resulting in a fractured arm indicates that serious bodily injury occurred, while the act of choking could also be considered as using a means that could potentially lead to grave harm.

Aggravated assault is identified as a more severe form of assault because it not only involves the intent to cause harm but also results in significant physical injury or the threat thereof. The circumstances surrounding John's actions, particularly the combination of physical harm and the potential lethality of choking, elevate the offense to aggravated assault rather than simple assault or other related categories.

While domestic violence may be a relevant context for this situation, it does not specify the criminal nature of the conduct in terms of legal classification. Battery also implies a physical act but would not encompass the severity implied by the injury and the act of choking. Thus, aggravated assault is the most accurate designation for the offense committed in this scenario.