5.28 For the circuit in Fig. P5.28, determine the voltage across C and the currents through L1 and L2 under de conditions. L1 = 2 mH ll 10 Ω 15 2 2 A :C= 20 µF L2 = 4 mH Figure P5.28: Circuit for Problem 5.28.

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### Problem 5.28

**Objective:**
Determine the voltage across the capacitor \( C \) and the currents through the inductors \( L_1 \) and \( L_2 \) under DC conditions.

**Description:**
- **Source:** A 2 A current source.
- **Components:**
  - Inductor \( L_1 \): 2 mH
  - Inductor \( L_2 \): 4 mH
  - Resistor (in series with \( L_1 \)): 5 Ω
  - Resistor (in parallel with \( L_1 \) and \( L_2 \)): 15 Ω
  - Resistor (in parallel with the capacitor): 10 Ω
  - Capacitor \( C \): 20 μF

**Schematic Overview:**
- The 2 A current source supplies current to a series combination of a 5 Ω resistor and the inductor \( L_1 \).
- This series combination is parallel with the 10 Ω resistor and a parallel branch consisting of a 15 Ω resistor in series with inductor \( L_2 \) and capacitor \( C \).

**Analysis:**
- In DC conditions, inductors are considered short circuits and capacitors are open circuits.
- Analyze the circuit to find the required voltage and currents based on these conditions.
Transcribed Image Text:### Problem 5.28 **Objective:** Determine the voltage across the capacitor \( C \) and the currents through the inductors \( L_1 \) and \( L_2 \) under DC conditions. **Description:** - **Source:** A 2 A current source. - **Components:** - Inductor \( L_1 \): 2 mH - Inductor \( L_2 \): 4 mH - Resistor (in series with \( L_1 \)): 5 Ω - Resistor (in parallel with \( L_1 \) and \( L_2 \)): 15 Ω - Resistor (in parallel with the capacitor): 10 Ω - Capacitor \( C \): 20 μF **Schematic Overview:** - The 2 A current source supplies current to a series combination of a 5 Ω resistor and the inductor \( L_1 \). - This series combination is parallel with the 10 Ω resistor and a parallel branch consisting of a 15 Ω resistor in series with inductor \( L_2 \) and capacitor \( C \). **Analysis:** - In DC conditions, inductors are considered short circuits and capacitors are open circuits. - Analyze the circuit to find the required voltage and currents based on these conditions.
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