R1 20µF R2 Ve 0.5mH R3 12V 80.4mH 10µF 25V Assume the above circuit has been in this state for a very long time. Determine the current through the 0.4mH inductor i, given R=50 R2=20 R3=70 Note: Round your answer to the nearest single digit decimal place. Your answer should be in Amps. For example, if you compute 15.43 Amps then enter 15.4 as you answer. Find i 0000

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### Circuit Analysis Problem

**Circuit Diagram:**

The circuit contains the following components:
- Resistor \( R_1 = 5 \, \Omega \)
- Resistor \( R_2 = 2 \, \Omega \)
- Resistor \( R_3 = 7 \, \Omega \)
- Inductor \( L_1 = 0.5 \, \text{mH} \)
- Inductor \( L_2 = 0.4 \, \text{mH} \)
- Capacitor \( C_1 = 10 \, \mu\text{F} \)
- Capacitor \( C_2 = 20 \, \mu\text{F} \)
- Voltage source \( V_1 = 12 \, \text{V} \)
- Voltage source \( V_2 = 25 \, \text{V} \)

**Task:**

Assume the circuit has reached a steady state after being in this condition for a very long time. Determine the current through the \( 0.4 \, \text{mH} \) inductor (\( L_2 \)), denoted as \( i_L \).

**Instructions:**

- Round your answer to the nearest single decimal place, and it should be in Amps. For example, if you compute 15.43 Amps, then enter 15.4 as your answer.
  
**Find:**

\[ i_L \]

### Note:

The circuit diagram is a simple loop containing the components mentioned above. You are to use principles of DC steady-state analysis to find the desired current value.

Since the circuit is in a steady state, capacitors act as open circuits and inductors as short circuits. Analyze the paths and potential differences given the resistors and power sources.
Transcribed Image Text:### Circuit Analysis Problem **Circuit Diagram:** The circuit contains the following components: - Resistor \( R_1 = 5 \, \Omega \) - Resistor \( R_2 = 2 \, \Omega \) - Resistor \( R_3 = 7 \, \Omega \) - Inductor \( L_1 = 0.5 \, \text{mH} \) - Inductor \( L_2 = 0.4 \, \text{mH} \) - Capacitor \( C_1 = 10 \, \mu\text{F} \) - Capacitor \( C_2 = 20 \, \mu\text{F} \) - Voltage source \( V_1 = 12 \, \text{V} \) - Voltage source \( V_2 = 25 \, \text{V} \) **Task:** Assume the circuit has reached a steady state after being in this condition for a very long time. Determine the current through the \( 0.4 \, \text{mH} \) inductor (\( L_2 \)), denoted as \( i_L \). **Instructions:** - Round your answer to the nearest single decimal place, and it should be in Amps. For example, if you compute 15.43 Amps, then enter 15.4 as your answer. **Find:** \[ i_L \] ### Note: The circuit diagram is a simple loop containing the components mentioned above. You are to use principles of DC steady-state analysis to find the desired current value. Since the circuit is in a steady state, capacitors act as open circuits and inductors as short circuits. Analyze the paths and potential differences given the resistors and power sources.
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