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Pulse frequency for a pulse width modulation application

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How can I determine the pulse frequency for a DC motor speed control or an LED brightness control. I have no data about the DC motor and led frequency dependence they both do not provide anything about frequency. I can understand that the pulse frequency does not effect the mean voltage and duty cycle do. But still I’m not sure if the frequency would effect my application.

I know that a DC motor equivalent circuit is an inductor with a series resistor, where inductor is a frequency dependent passive component.

Would pwm have another effect rather than voltage drop?
For example Arduino uses around 490Hz frequency. Is there a way to optimize this frequency depending on the motor or application?


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