Can you connect a dryer with a 30A cord and receptacle to a line that has a 50A circuit breaker?

Yes and no. You can't put a 30A outlet on a 50A breaker as it will be a fire hazard. You can put a 50A outlet on it safely.

Then you can plug the 30A load into it, but this is unwise and can be dangerous if you don't put fuses in your pigtail adapter The best solution: Go ahead and install your 30A outlet but replace the 50A breaker with a 30A breaker. This is the safest and cleanest solution.

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