Determine the input impedance of the circuit at frequency o = HE 0.5 mF 80 Ω 1 mF = 2 rad/s. 8 H 200 Ω

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**Problem Statement:**

Determine the input impedance of the circuit at a frequency \(\omega = 2 \, \text{rad/s}\).

**Diagram Explanation:**

The circuit consists of the following components arranged as follows:

1. **Series Connection:**
   - A capacitor with a capacitance of \(0.5 \, \text{mF}\).
   - A resistor with a resistance of \(80 \, \Omega\).

2. **Parallel Connection (connected after the series components):**
   - An inductor with an inductance of \(8 \, \text{H}\).
   - A capacitor with a capacitance of \(1 \, \text{mF}\).
   - A resistor with a resistance of \(200 \, \Omega\).

These components are grounded at the end of the circuit. The task is to calculate the overall input impedance considering these components and the given frequency.
Transcribed Image Text:**Problem Statement:** Determine the input impedance of the circuit at a frequency \(\omega = 2 \, \text{rad/s}\). **Diagram Explanation:** The circuit consists of the following components arranged as follows: 1. **Series Connection:** - A capacitor with a capacitance of \(0.5 \, \text{mF}\). - A resistor with a resistance of \(80 \, \Omega\). 2. **Parallel Connection (connected after the series components):** - An inductor with an inductance of \(8 \, \text{H}\). - A capacitor with a capacitance of \(1 \, \text{mF}\). - A resistor with a resistance of \(200 \, \Omega\). These components are grounded at the end of the circuit. The task is to calculate the overall input impedance considering these components and the given frequency.
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