When you say the tunnel is 3 feet across, do you mean it starts 1.5' away and comes 1.5' in the run? or starts 3' from the run? or is the 3' the width along the fence (left to right if you face the fence)? Is that 3' completely underground tunnel, or is that from the outside edge of the tunnel at one edge to the outside edge at the other so it includes the hole itself? (Makes a difference as to how close to the fence the hole actually comes/where they started digging.). . . I don't think the apron would help much in our situation - as I said that coyote dug a tunnel 1.5 feet down and 3 feet across, bypassing all the wire and cinder blocks. They're smart and desperate, and I'm sure they'd figure out a way around any apron.
I'm sure you've filled in the hole now, but if something like this happens in the future you should take pictures and include them with your post - it would help us to get a real sense of what those coyotes managed to do in 45 minutes! (They sure sound like impressive diggers.)
As @cmom says, if you make a wide apron -- a lot wider than where they started their hole -- and cover it with dirt so they don't see an obvious edge to start digging under, they're likely to dig starting on top of the apron and be unable to make a hole. Most predators aren't smart enough at that point to think, "Oh, I have to start farther back," especially if they don't see a difference in the ground - they just note that digging doesn't work.
If they really started 1.5' or 3' back from the fence, and were completely underground at the fence, then electric probably won't help - now that I think about it, the fact that your fence goes 1' below ground means that in going down that deep they may well be well (~18") below the electric line (which obviously has to be above ground) so be less likely to touch it.
Not that I'd ever discourage anyone from putting electric lines on their chicken coops as an additional protection - in our case here, it's because of bear, but it would also keep smaller predators from trying to climb or push through the fence. And with the coyotes, even if it doesn't get them while they're digging, they're likely to get "bit" by the shock as they check things out, and the more discouragement the better!