Calculate the source input impedance if the ideal transformer circuit is operated at 208Vrms at a frequency of 60Hz. L = 56 mH and C = 123 µF I 2:1 2 ohms

Introductory Circuit Analysis (13th Edition)
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**Problem Statement:**

Calculate the source input impedance if the ideal transformer circuit is operated at 208V<sub>rms</sub> at a frequency of 60Hz.

Given:
- Inductance, \( L = 56 \, \text{mH} \)
- Capacitance, \( C = 123 \, \mu\text{F} \)

**Circuit Description:**

The circuit diagram consists of the following components:

1. **Voltage Source (V):** Supplies the circuit with a voltage of 208V<sub>rms</sub> at 60Hz.
2. **Current Direction (I):** Shown with an arrow indicating the flow of current in the circuit.
3. **Transformer (2:1):** An ideal transformer with a turns ratio of 2:1.
4. **Resistor:** A resistor with a resistance of 2 ohms is connected in series with the other side of the transformer.
5. **Inductor (L):** An inductor marked as \( L \, \text{mH} \).
6. **Capacitor (C):** A capacitor marked as \( C \, \mu\text{F} \).

**Objective:**

Calculate the source input impedance, taking into account the components and their respective values, including the transformer turns ratio, resistance, inductance, and capacitance.
Transcribed Image Text:**Problem Statement:** Calculate the source input impedance if the ideal transformer circuit is operated at 208V<sub>rms</sub> at a frequency of 60Hz. Given: - Inductance, \( L = 56 \, \text{mH} \) - Capacitance, \( C = 123 \, \mu\text{F} \) **Circuit Description:** The circuit diagram consists of the following components: 1. **Voltage Source (V):** Supplies the circuit with a voltage of 208V<sub>rms</sub> at 60Hz. 2. **Current Direction (I):** Shown with an arrow indicating the flow of current in the circuit. 3. **Transformer (2:1):** An ideal transformer with a turns ratio of 2:1. 4. **Resistor:** A resistor with a resistance of 2 ohms is connected in series with the other side of the transformer. 5. **Inductor (L):** An inductor marked as \( L \, \text{mH} \). 6. **Capacitor (C):** A capacitor marked as \( C \, \mu\text{F} \). **Objective:** Calculate the source input impedance, taking into account the components and their respective values, including the transformer turns ratio, resistance, inductance, and capacitance.
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