You don't say why you think the problem is an electrical problem. The only thing electrical in the typical auto air conditioner is the fan that circulates the air and the switch that engages the compressor.
With the engine running, the compressor should engage when you turn the AC on. It will make a clicking sound. When it has run a few minutes, verify that the compressor is working by feeling the hoses that go from the compressor to the fan inside the auto. One of them should be very cold if it's working. If that is the case then the problem is indeed the fan under the dashboard.