I have an argument.. In the top section we have two wall plugs hooked up like a common circuit.
In the bottom section if we plug two consumers will it work, will it work half the power or it will blow up?
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If the two outlets are on the same phase then combining them as shown will have NO affect compared to just using one of them.
If the outrlets do not have identical connections them connecting them as shown will cause a blown fuse / tripped breaker / maor damage (choose some).
The bulbs are connected in series. They will usually both operate at reduced output.