Answer

Can the Honda EU7000iS run LG 55QNED85 55-inch TV?

Runs

Runs. Running draw 77 W fits within 5,500 running watts and this is not a motor-start load.

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The comparison

Honda EU7000iSLG 55QNED85 55-inch TV
Running watts5,500 W77 W
Starting / surge watts7,000 WNot published
Typeinverter, GasolineElectronics
Published runtime6.4 hr at rated load, 16 hr at 1/4 load
SourcesGenerator sourceAppliance source

Questions

Can the Honda EU7000iS run LG 55QNED85 55-inch TV?

Runs. Running draw 77 W fits within 5,500 running watts and this is not a motor-start load.

What watts were compared?

Generator: 5,500 running W and 7,000 starting W on gasoline. Appliance: 77 W running, startup not published.

How long will it run?

Fuel runtime depends on total load. Published runtime: 6.4 hr at rated load, 16 hr at 1/4 load.

Where did the numbers come from?

Honda: 7000W max, 5500W rated, 120/240V; L14-30R 30A locking outlet; 5.1 gal; 6.4 hr rated / 16 hr 1/4 load. Weight and noise were not copied in. ENERGY STAR on-mode power for 55QNED85TU* is 76.9 W at a 54.6-inch viewable diagonal. Standby with the network disconnected is 0.30 W. On-mode power is what the station has to supply while the TV is on.

Safety first

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