The switch has been in the position shown for a long time. The switch opens at t = 0. Determine the power absorbed by R2 at t = 0.5 ms. 3A R1 102 S1 t = 0 R3 in till Hi >10 V1 -10V L1 m 1mH iL R2 122

Introductory Circuit Analysis (13th Edition)
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**Problem Statement:**
The switch has been in the position shown for a long time. The switch opens at \( t = 0 \). Determine the power absorbed by \( R2 \) at \( t = 0.5 \, \text{ms} \).

**Circuit Diagram:**
The circuit features the following components in series and parallel arrangements:

- **Current Source:** Provides a current of \( 3 \, \text{A} \).
- **Resistors:**
  - \( R1 = 1 \, \Omega \)
  - \( R3 = 1 \, \Omega \)
  - \( R2 = 1 \, \Omega \)
- **Inductor:** \( L1 = 1 \, \text{mH} \) with current \( i_L \).
- **Voltage Source:** V1 provides \( 10 \, \text{V} \).
- **Switch \( S1 \):** Initially closed and opens at \( t = 0 \).

**Circuit Behavior:**
- When the switch \( S1 \) has been closed for a long time, the inductor behaves as a short circuit.
- When \( S1 \) opens at \( t = 0 \), the energy stored in the inductor \( L1 \) is released into the circuit.
- The task involves calculating the power absorbed by \( R2 \) at \( t = 0.5 \, \text{ms} \) using the properties of inductors and resistors.
Transcribed Image Text:**Problem Statement:** The switch has been in the position shown for a long time. The switch opens at \( t = 0 \). Determine the power absorbed by \( R2 \) at \( t = 0.5 \, \text{ms} \). **Circuit Diagram:** The circuit features the following components in series and parallel arrangements: - **Current Source:** Provides a current of \( 3 \, \text{A} \). - **Resistors:** - \( R1 = 1 \, \Omega \) - \( R3 = 1 \, \Omega \) - \( R2 = 1 \, \Omega \) - **Inductor:** \( L1 = 1 \, \text{mH} \) with current \( i_L \). - **Voltage Source:** V1 provides \( 10 \, \text{V} \). - **Switch \( S1 \):** Initially closed and opens at \( t = 0 \). **Circuit Behavior:** - When the switch \( S1 \) has been closed for a long time, the inductor behaves as a short circuit. - When \( S1 \) opens at \( t = 0 \), the energy stored in the inductor \( L1 \) is released into the circuit. - The task involves calculating the power absorbed by \( R2 \) at \( t = 0.5 \, \text{ms} \) using the properties of inductors and resistors.
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