What Is the RMS Current of a 10V Sine Wave Through a 5 Ohm Resistor?

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A 10V sine wave through a 5-ohm resistor will yield a specific RMS current value. The RMS value for a sine wave is calculated as the peak voltage divided by the resistance, resulting in an RMS current of 2A. This is derived from the formula I_RMS = V_peak / R, where V_peak is 10V and R is 5 ohms. Understanding RMS is crucial as most instruments measure this value for periodic waveforms. The discussion emphasizes the importance of RMS calculations for accurate current readings in various waveforms.
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So PWM can simulate a decrease in voltage when useing a stable amplitude.

10v50% duty cycle is 1/2 the amplitude meaning 5v. And if this is through a standard resistor then you will see 1/2 the current.

But what about a sine wave? What fraction or percentage does this come out to be? What current will you read with a 10v sine wave through a 5ohm resistor?
 
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