An RLC series circuit has a 0.20 k2 resistor, a 800 mH inductor, and a 88.0 nF capacitor at 800 Hz. The voltage source has Vrms = 808 V, find the Ims (in A). R C VR VL Vc İce) = Im sin(@t) %3D Vs

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### Description of an RLC Series Circuit

An RLC series circuit consists of the following components:

- **Resistor (R):** 0.20 kΩ
- **Inductor (L):** 800 mH
- **Capacitor (C):** 88.0 nF

This circuit is driven by an AC voltage source operating at a frequency of 800 Hz, with a root mean square voltage (\(V_{\text{rms}}\)) of 808 V. The task is to determine the root mean square current (\(I_{\text{rms}}\)) in amperes.

### Circuit Diagram

- **Resistor (R):** Represented as a zig-zag line with a label \(V_R\) indicating the voltage across it.
- **Inductor (L):** Depicted as a coiled line with a label \(V_L\) indicating the voltage across it.
- **Capacitor (C):** Illustrated as two parallel lines with a label \(V_C\) indicating the voltage across it.
- **Voltage Source (\(V_S\)):** Shown with a sine wave symbol indicating the alternating current, accompanied by a label showing the source delivers \(i(t) = I_m \sin(\omega t)\).

This schematic diagram illustrates the series connection of the resistor, inductor, and capacitor, with the alternating current source driving the circuit. The labels \(V_R\), \(V_L\), and \(V_C\) are indicative of the voltage drops across each respective component.

### Objective

The problem asks for the calculation of \(I_{\text{rms}}\), the root mean square current flowing through this RLC circuit, given the components and conditions specified above.
Transcribed Image Text:### Description of an RLC Series Circuit An RLC series circuit consists of the following components: - **Resistor (R):** 0.20 kΩ - **Inductor (L):** 800 mH - **Capacitor (C):** 88.0 nF This circuit is driven by an AC voltage source operating at a frequency of 800 Hz, with a root mean square voltage (\(V_{\text{rms}}\)) of 808 V. The task is to determine the root mean square current (\(I_{\text{rms}}\)) in amperes. ### Circuit Diagram - **Resistor (R):** Represented as a zig-zag line with a label \(V_R\) indicating the voltage across it. - **Inductor (L):** Depicted as a coiled line with a label \(V_L\) indicating the voltage across it. - **Capacitor (C):** Illustrated as two parallel lines with a label \(V_C\) indicating the voltage across it. - **Voltage Source (\(V_S\)):** Shown with a sine wave symbol indicating the alternating current, accompanied by a label showing the source delivers \(i(t) = I_m \sin(\omega t)\). This schematic diagram illustrates the series connection of the resistor, inductor, and capacitor, with the alternating current source driving the circuit. The labels \(V_R\), \(V_L\), and \(V_C\) are indicative of the voltage drops across each respective component. ### Objective The problem asks for the calculation of \(I_{\text{rms}}\), the root mean square current flowing through this RLC circuit, given the components and conditions specified above.
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