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dc motor full load current and no load

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How long are you going to be using the motor under load at once? Think of it like a power window motor in a car. On an average day it is used for only a few seconds at a time under regular load and may draw 4 or 5 amps - no problem - wont overheat and burn. Problem occurs when you try to use the window in the winter and it is frozen and wont move - they motor may draw ten amps or more and it will burn if there isn't protection from over current, that is why the factory installs a breaker of around 10 amps - it blows instead of the motor.
 

You didn't read the datasheet. The motor is specified for duty cycle "s1" = continuous operation.

These motors are typical dual-use products, besides automotive applications also used in industrial automation.
 

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