Both of these things run on electricity. I can't figure out why electrical equipment can't be electric equipment? Even after some research, I can't give the proper answer.
The US legal definitions website defines electrical equipment as
any apparatus, device, integral component, or integral part used in an activity which is electrically, electronically, mechanically, or by legal prescription necessary to the process of generation, transmission, or distribution of electric energy.
There does not seem to be a formal definition of electric equipment but there are many devices that are described as an electric something. For example electric drill, electric car and electric cookers. The last site describes an electric cooker as
Electric Cookers use electricity to power both the grill/main oven and the hobs.
Internet searches for items like electric consumer units or electric transformer do return hits but, almost universally direct to pages which describe the equipment as electrical.
From this we can say that, in the main, if you talk about individual pieces of equipment that run on electricity they are usually referred to as 'electric'. For instance electric drill, electric cooker, electric light and, as you say in your question, electric car. However some electrical equipment does not consume electricity, it generates, distributes, converts and measures it (for example generators, transformers, circuit breakers and meters): these are usually referred to as electrical equipment. The general term is electrical equipment but that includes the more specific electric device.