Not like your going to have the Microwave running all day.
Here is some good info for ya.
12 Volt DC Systems
Formula: 12 volt inverters require approximately ten (10) amps DC input for each 100 watts output power used to operate an AC load.
Example: How many DC amps will a 12-volt inverter require to operate three 500-watt quartz lights, or a 1500-watt electric heater?
Answer:
1) Total watts = 1500
2) 1500 watts/100 (from formula) = 15
3) 15 X 10 amps (from formula) = 150 amps.
This is the DC current the inverter will use to operate the 1500-watt load. Note; If these 150 amps are drawn from the battery for one hour, 150 amp hours of battery power will be used.
To support 150 amp hours of battery power 300 amps of battery capacity should be used for maximum battery life and performance.
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https://www.batterystuff.com/kb/articles/solar-articles/solar-info.html#sthash.yYup40GL.dpuf
Your two Solar Panels at best put out 100W / 12 or 8 amps. Times 2 = 16 Amps. Going to take them some time to replenish 150 Amps drained.
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http://www.thunting.com/smf/index.php/topic,62757.msg313177.html#msg313177
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