Active Figure 33.2 - Resistors in an AC Circuit Instructions: Use the sliders to

Question

Active Figure 33.2 - Resistors in an AC Circuit

Instructions: Use the sliders to adjust the frequency, resistance and voltage amplitude. Click "start" to begin the animation.

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The time dependent voltage V = Vmaxsintwith Vmax = 2.06 V and frequency f = 1.64 Hz drives the current in the AC circuit illustrated in the Active Figure. The resistance is R = 2.26 . Find the rms current.

Conceptualize
As the voltage across the resistor varies, the instantaneous current is directly proportional to the instantaneous voltage, as described by Ohm's law.

Categorize
The problem uses the relation between current, voltage, and resistance for resistors in an AC circuit.

Analyze
The maximum voltage and rms voltage are related by:

But the same holds true of the maximum current and rms current:

since the resistance R remains constant in evaluating the average over time. Substitute the given parameter values:

Finalize Note by what percentage the rms value of the voltage or current is compared to its maximum value, and any dependence on frequency. What does this tell you about the rms value of any sinusoidally varying quantity?

Explanation / Answer

Where is the Active Figure? I don't find any.

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