An RLC series circuit is connect to a 135-V/150-Hz source (see the picture below). Given that L = 98 mH, C = 75 µF and R = 160 2, find the rms current in the circuit and rms voltage drop across each element. L C V The current, Irms = 0.75 www R ✔Unit A The voltage drop across L, (VL)rms The voltage drop across C, (Vc)rms The power dissipation, P = 74 = 70 = 10 Unit V X Unit V The voltage drop across R, (VR)rms 120 Find the phase shift and the power dissipated in the circuit. The phase shift, = 0.45 ✓Unit V x Unit Select an answer x Unit Select an answer

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### RLC Circuit Analysis

An RLC series circuit is connected to a 135-V/150-Hz source as depicted in the diagram below. Given the following component values:
- Inductance, \( L = 98 \, \text{mH} \)
- Capacitance, \( C = 75 \, \mu\text{F} \)
- Resistance, \( R = 160 \, \Omega \)

We aim to find the RMS current in the circuit and the RMS voltage drop across each element.

![RLC Circuit Diagram](https://example.com/rlc-circuit)

#### Results:

1. **The RMS Current, \( I_{\text{rms}} \)**
    \[
    I_{\text{rms}} = 0.75 \, \text{A}
    \]

2. **The Voltage Drop Across the Inductor, \( (V_L)_{\text{rms}} \)**
    \[
    (V_L)_{\text{rms}} = 70 \, \text{V}
    \]

3. **The Voltage Drop Across the Capacitor, \( (V_C)_{\text{rms}} \)**
    \[
    (V_C)_{\text{rms}} = 10 \, \text{V}
    \]

4. **The Voltage Drop Across the Resistor, \( (V_R)_{\text{rms}} \)**
    \[
    (V_R)_{\text{rms}} = 120 \, \text{V}
    \]

#### Additional Parameters:

- **The Phase Shift \( \phi \) and Power Dissipation \( P \) in the Circuit:**

    - **Phase Shift, \( \phi \)**
        \[
        \phi = 0.45 \, \text{radians} \quad (\text{Incorrect -- this needs review})
        \]

    - **Power Dissipation, \( P \)**
        \[
        P = 74 \, \text{W} \quad (\text{Incorrect -- this needs review})
        \]

The current values for phase shift and power dissipation seem to need verification as they are marked incorrect. This indicates further analysis or calculation might be required.

### Explanation of the Circuit Diagram

The circuit diagram shows:
- **L (Inductor)**: Part of the series circuit.
- **
Transcribed Image Text:### RLC Circuit Analysis An RLC series circuit is connected to a 135-V/150-Hz source as depicted in the diagram below. Given the following component values: - Inductance, \( L = 98 \, \text{mH} \) - Capacitance, \( C = 75 \, \mu\text{F} \) - Resistance, \( R = 160 \, \Omega \) We aim to find the RMS current in the circuit and the RMS voltage drop across each element. ![RLC Circuit Diagram](https://example.com/rlc-circuit) #### Results: 1. **The RMS Current, \( I_{\text{rms}} \)** \[ I_{\text{rms}} = 0.75 \, \text{A} \] 2. **The Voltage Drop Across the Inductor, \( (V_L)_{\text{rms}} \)** \[ (V_L)_{\text{rms}} = 70 \, \text{V} \] 3. **The Voltage Drop Across the Capacitor, \( (V_C)_{\text{rms}} \)** \[ (V_C)_{\text{rms}} = 10 \, \text{V} \] 4. **The Voltage Drop Across the Resistor, \( (V_R)_{\text{rms}} \)** \[ (V_R)_{\text{rms}} = 120 \, \text{V} \] #### Additional Parameters: - **The Phase Shift \( \phi \) and Power Dissipation \( P \) in the Circuit:** - **Phase Shift, \( \phi \)** \[ \phi = 0.45 \, \text{radians} \quad (\text{Incorrect -- this needs review}) \] - **Power Dissipation, \( P \)** \[ P = 74 \, \text{W} \quad (\text{Incorrect -- this needs review}) \] The current values for phase shift and power dissipation seem to need verification as they are marked incorrect. This indicates further analysis or calculation might be required. ### Explanation of the Circuit Diagram The circuit diagram shows: - **L (Inductor)**: Part of the series circuit. - **
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