On Wed, 09 Dec 2015 00:43:36 -0700, Don Y
wrote:

Never noticed all this until recently. Is this correct? Shouldn't there be a
jumper cable to connect across the black rubber hose (from the copper pipes
to the well casing?)

The electrician is ensuring your house's *plumbing* is grounded.

Ages ago, houses picked up their "local earth" *through* the
water main. But, there are problems with that approach:
- the water meter can be removed which "opens" the connection to earth
(so, run a jumper across the meter's location to ensure galvanic
continuity even in its absence)
- whole house filters and softeners pose similar problems
- the water main may not be metallic (or for only part of the way)
- the interior plumbing may contain sections that are non metalic
- water pipes corrode (and, can do so at any place, not just one
that might be convenient electrically!)

I agree the ground rods are plenty. The pipes are grounded so they do
not somehow become electrically live. The ground wire is usually 6
gauge copper. If you jumper across that hose, are the pipes going to the
well metal? Usually they are plastic these days. If they are metal, it
wont hurt to add a jumper. But if the pipes to the well are plastic, you
wont gain anything.

Just curious. How did they have a wire connected to the well casing?
That's usually a 4 to 6" pipe. That would need one hell of a clamp.
You could also connect that wire from the casing to the grounding system
too. It cant hurt anything, but is not necessary.