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Question
Can I use ULN2003 to switch 5V relays which in turn switch 220VAC loads?
Answer
No problem at all.
Your ULN2003 choice is good, because it can handle max 150mA, and the most popular, typical 5V relay switch, Songle relay switch, takes only max 70mA.
I usually prefer ULN2803 which has 8 ...