FOG LIGHT SOCKET Questions

Electrical Problem 2005 Chrysler 300 6 Cyl Two Wheel Drive Automatic 44k Miles After Checking Bulbs Switch And Continuity Lights...

What Size Is The Socket For Those Bolts?

My Truck Did Not Come With Fog Lights. Why Is There A Fuse In The Fog Lamp Socket And A Relay For Fog Lights? Also, When I Pull The Fuse Out...