1. Consider the two circuits below being driven by an AC source Vac. What is the impedance between terminals a and b as the frequency goes to zero? What is the impedance as the frequency become extremely high? ell L1 1 ΜΗ C1 1 µF C2 1 µF b t Vac sine C3 L2 1 μF 1 ΜΗ L3 1 ΜΗ Vac sine

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**Problem Statement:**

1. Consider the two circuits below being driven by an AC source \(V_{ac}\). What is the impedance between terminals a and b as the frequency goes to zero? What is the impedance as the frequency becomes extremely high?

---

**Diagram Explanation:**

The image contains two circuits, each driven by an AC voltage source labeled \(V_{ac}\) with a sine wave symbol. 

- **First Circuit:**
  - Components:
    - Inductor \(L1\) with an inductance of 1 μH.
    - Capacitor \(C1\) with a capacitance of 1 μF.
    - Capacitor \(C2\) with a capacitance of 1 μF.
  - Configuration:
    - \(L1\) and \(C1\) are in parallel.
    - The parallel combination is in series with \(C2\).
    - Terminals a and b are connected across this series combination.

- **Second Circuit:**
  - Components:
    - Capacitor \(C3\) with a capacitance of 1 μF.
    - Inductor \(L2\) with an inductance of 1 μH.
    - Inductor \(L3\) with an inductance of 1 μH.
  - Configuration:
    - \(C3\) is in series with \(L2\).
    - \(L2\) is in parallel with \(L3\).
    - Terminals a and b are connected across this entire combination.

---

**Analysis Task:**

- **Low Frequency Analysis (\(f \to 0\)):**
  - Inductors (\(L\)) act as short circuits.
  - Capacitors (\(C\)) act as open circuits.
  
- **High Frequency Analysis (\(f \to \infty\)):**
  - Inductors (\(L\)) act as open circuits.
  - Capacitors (\(C\)) act as short circuits.
Transcribed Image Text:**Problem Statement:** 1. Consider the two circuits below being driven by an AC source \(V_{ac}\). What is the impedance between terminals a and b as the frequency goes to zero? What is the impedance as the frequency becomes extremely high? --- **Diagram Explanation:** The image contains two circuits, each driven by an AC voltage source labeled \(V_{ac}\) with a sine wave symbol. - **First Circuit:** - Components: - Inductor \(L1\) with an inductance of 1 μH. - Capacitor \(C1\) with a capacitance of 1 μF. - Capacitor \(C2\) with a capacitance of 1 μF. - Configuration: - \(L1\) and \(C1\) are in parallel. - The parallel combination is in series with \(C2\). - Terminals a and b are connected across this series combination. - **Second Circuit:** - Components: - Capacitor \(C3\) with a capacitance of 1 μF. - Inductor \(L2\) with an inductance of 1 μH. - Inductor \(L3\) with an inductance of 1 μH. - Configuration: - \(C3\) is in series with \(L2\). - \(L2\) is in parallel with \(L3\). - Terminals a and b are connected across this entire combination. --- **Analysis Task:** - **Low Frequency Analysis (\(f \to 0\)):** - Inductors (\(L\)) act as short circuits. - Capacitors (\(C\)) act as open circuits. - **High Frequency Analysis (\(f \to \infty\)):** - Inductors (\(L\)) act as open circuits. - Capacitors (\(C\)) act as short circuits.
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