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A series RLC circuit has a resistance of 20.86 ohm, a capacitance of 8.22 microF, and an inductance of 184.19 mH. The circuit is connected to a variable-frequencysource with a fixed rms output of 83.84 V..• Find the rms current.

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ANSWER:

4.02 amps

STEP-BY-STEP EXPLANATION:

Given:

Resistance (R) = 20.86 Ω

Capacitance (C) = 8.22 microF = 8. 22 x 10^-6 F

Inductance (L) = 184.19 mH = 0.18419 H

Vrms = 83.84 V

we can determine the RMS current at resonance

[tex]\begin{gathered} I_{rms}=\frac{V_{rms}{}}{R} \\ \\ \text{ we replacing} \\ \\ I_{rms}=\frac{83.84}{20.86} \\ \\ I_{rms}=4.02\text{ A} \end{gathered}[/tex]

The rms current at resonance is equal to 4.02 amps

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