The most common causes for blowing the air conditioning fuse is a blower motor overload or a short in the airconditioning control panel. It is best to eliminate the blower as the fault symply by unplugging it. If the fuse still blows it is best to disconnect the control panel next, this is the easiest way to determin whether the fault is in the A/C circuit board or not.
At this stage most people would now bite the bullet and order a new part. There is some good news. Most circuit boards can be saved with very little effort.
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