While a small "cigar lighter" inverter like the 140 watt one shown can provide plenty of power for most flat screen TVs (about 1 amp of AC), you must be aware that 140 Watts of AC will need about 13 amps of DC from your 12 volt battery circuit to provide that much power.
The "convenient" accessory outlet added to the antenna select wall plate does not have enough "amps" available to power the 140 watt INVERTER if the full 140 watts is needed.
If your Jensen TV is THIS ONE: http://www.amazon.com/Jensen-JE2814-.../dp/B00ETBQOFG
It only needs 0.1 watts of AC in standby and 40 watts operating. The wall socket can easily provide that much power for the pictured inverter to run your TV.
Realize that 40 watts of DC equates to about 3.3 amps of battery power. Coupled with the other amp draws off the battery, (surround radio, lights, furnace, water pump) you could find yourself cold at 4AM with a dead battery if you watch a lot of TV like you would do at home to provide "background noise".
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