Answer

Can the Predator 9500 Super Quiet Inverter run LG LCE3010 induction cooktop, 1,900 W zone?

Runs

Runs. Running draw 1,900 W fits within 7,600 running watts and this is not a motor-start load.

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The comparison

Predator 9500 Super Quiet InverterLG LCE3010 induction cooktop, 1,900 W zone
Running watts7,600 W1,900 W
Starting / surge watts9,500 WNot published
Typeinverter, GasolineKitchen
Published runtime18.5 hr at 25% load
SourcesGenerator sourceAppliance source

Questions

Can the Predator 9500 Super Quiet Inverter run LG LCE3010 induction cooktop, 1,900 W zone?

Runs. Running draw 1,900 W fits within 7,600 running watts and this is not a motor-start load.

What watts were compared?

Generator: 7,600 running W and 9,500 starting W on gasoline. Appliance: 1,900 W running, startup not published.

How long will it run?

Fuel runtime depends on total load. Published runtime: 18.5 hr at 25% load.

Where did the numbers come from?

Harbor Freight and owner's manual: 7600 running / 9500 starting; 459cc; 6.8 gal; 18.5 hr at 25%; 67 dB at 25%; GFCI 5-20R, L5-30R, L14-30R, 12V DC, USB. ENERGY STAR lists zone 2 of LCE3010SBE at 1,900 W. This entry is that zone alone, not two zones together.

Safety first

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