Thanks for the responses.
I am using the word impedance because impedance extends the concept of resistance to AC circuits, and possesses both magnitude and phase, unlike resistance, which has only magnitude.
So I am assuming AC supply which is normally the case.
Yes, but in reality the impact of inductance (and skin effect on resistive part) at 50Hz for cables is small and only noticeable for big cables. E.g. if you look at tabulated "volt drop" impedance for cables such as 4D4B in the regs you only see a 1% difference in r & z by time you reach 50mm.
For things like motors, transformers, relay coil, etc, then L is usually be dominant.
When I use the word "source" I am referring to the MCB.
But what about the reference to "outlet" in the above snippet?
Typically a socket, could be a FCU. For a fixed appliance it would be the connection point so maybe a cooker switch, etc.
The impedance of the circuit from the source to a particular outlet is going to vary slightly at each outlet as you go along the circuit.
In the case of radials it will increase along the circuit at each outlet.
In the case of ring circuits there will be two values. I presume you would use the smallest value in any calculation of leakage to ground current.
Leakage in wiring is usually negligible, the insulation resistance values are in the M ohm range if OK and will not be different to any measurable degree where you test it.
The fault loop impedance R1+R2 will increase as you move away from the supply/source, and the
maximum values is the one to note as that give the worst-case fault disconnection time. Normally for a radial that is at the furthest point, for a RFC it is in the mid-point (i.e. furthest by both "legs") but given by (r1+r2)/4.
Basically the goal of a CPC is to keep any metalwork close to Earth potential and cause a lot of current to flow if something tries to alter that. Enough current so the supply MCB/fuse will open fast so limiting the fault energy (i^2 * t) as well as the potential shock duration of anyone in contact with the CPC/metalwork and the true Earth (or other CPC).
Relying on a RCD to disconnect is usually reserved for TT systems (separate earth rod) as insufficient current would flow for most MCBs, and for cases when you can't reasonably keep the loop impedance down. In most TN final circuit cases you would expect Zs = Ze + R1+R2 to be low enough to clear the MCB's Zs limit, otherwise you are likely to be reaching the point where voltage drop under normal circumstances is too great.
Is it necessary to test each outlet or is that only necessary if the source to end impedance at any point leads to the conclusion that the leakage to ground current produced is insuffient to trip any RCD present?
Do you ever, in practice, measure and record at each outlet?
On an inspection you would normally check only an agreed percentage of sockets, perhaps targeting any that look particularly old or otherwise dodgy. If
any fail to meet the required Zs then it is usually a fault that needs correction (C2).
On initial installation, of if a client wants 100% testing and agrees to pay for the time, then you should check every socket.
If you have found a fault that needs rectification then I would say that you ought to check all of them on that circuit (or even the installation) as part of the costed repair as clearly the system was not 100% good, and you won't really know if that was a one-off problem of if the installation was poorly done/hacked by DIY and needs more than just the observed fault fixed.