In distribution subs they have thermal ammeters I think they have a 30 minute warm up time so they don't get hammered by large starting currents or faults. I think I'm right in saying that the meters are switched out if circuit forr most of the time I'm you'd you can't leave CTs open circuited so do they just put a resistor across the CTs in are the meters usually left in circuit.
and assuming a core Bsat of 1Tesla
at 50Hz dB/dt when peak B is +/- 1Tesla is ~ 300 tesla per second. But as above here A is only 2/10000 of a square metre, so the volt per turn at saturation is about 600/10000 or 60mV (if you prefer about 15 turns per volt.
Areas shaded pink are the limiting core areas in these designs. Ignore the ancient 'inch' notation. Unless you want to memorize 8 turns per volt per 1 inch square core area for 50Hz transformer steels instead....