The pop was a shorted wire.
The short drew sudden over-amp at breaker.
Amps = heat.
Breaker senses heat and trips before wire to oven is damaged, and before the arcing short can cause a fire.
Was the short at the element?
I don't know, but sounds like the circuit board was damaged.
Of course they are putting electronics inside all appliances today instead of old mechanical dial, because it's cheaper or so much prettier... but new appliances more vulnerable to surge, and other electrical failures. Which is true for all 240V appliances not protected by whole house surge protector.
To test element.
Remove element.
Use a continuity tester across the element connections.
If there is continuity, then the element is probably functional.
Use a multimeter across same element, set multimeter to read ohms.
240 Volt, 3500 watt element should be about 16 ohms.
4500 watt about 12-13 ohms
Volts squared divided by watts = ohms
57,600 divided by 4500 watt = 12.8 ohms
http://waterheatertimer.org/images/ohm-reading-for-emements.jpg
http://waterheatertimer.org/See-inside-main-breaker-box.html
I would guess that the short fried the circuit board, but there is a also a shorted wire somewhere that is still bare and dangerous while power is ON and you are touching oven or stove, unless 240V breaker is GFCI or arc fault, which probably not. Especially dangerous if you are moving stuff around trying to find problem while power is ON.
Gene
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