Impedance/AC Circuits: Computing RMS Current

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The discussion revolves around calculating the RMS current in a circuit comprising an inductor and a resistor in parallel, followed by another resistor in series. The user initially sought help for determining the RMS current through each circuit element driven by a sinusoidal power source. Ultimately, the user resolved the issue independently, attributing the problem to a misunderstanding of complex numbers. The conversation highlights the importance of understanding complex impedance in AC circuit analysis. The resolution emphasizes self-sufficiency in problem-solving within electrical engineering contexts.
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This post is designed to elicit a general explanation, but here is an example of the type of problem that is giving me issues.

You have a circuit, which is driven by a sinusoidal power source with frequency w. The circuit consists of a inductor with inductance L in parallel with a resistor with resistance R_L. Both of these are in turn in series with another resister with resistance R. How do I determine the RMS current through each of the circuit elements? Thanks in advance.
 
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GlennBridgman said:
This post is designed to elicit a general explanation, but here is an example of the type of problem that is giving me issues.

You have a circuit, which is driven by a sinusoidal power source with frequency w. The circuit consists of a inductor with inductance L in parallel with a resistor with resistance R_L. Both of these are in turn in series with another resister with resistance R. How do I determine the RMS current through each of the circuit elements? Thanks in advance.
Never mind, figured it out. Was just being lazy about my complex numbers.
 

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