Why must a slow-blow fuse be used in applications like motors or power supplies upon startup?

Answer

To allow for the temporary large current spike called an inrush current

Motors and power supplies draw a large but temporary surge of current when initially switched on; a slow-blow fuse is engineered with a delay to permit this normal startup behavior without tripping.

Why must a slow-blow fuse be used in applications like motors or power supplies upon startup?
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