Remove AC power from the PC.
Find a free 4-pin Molex or 12-pin SATA power connector, or disconnect one of the in-use connectors.
Use a multimeter to measure the resistance between the +5V (red) and Ground (black) pins of the connector.
If there is a short circuit, remove the mother board power connectors one by one until the short goes away. This points to the motherboard as the culprit.
If the short persists, then the PSU must be the culprit.