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
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)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ea0e50e-bc61-40aa-a108-fd1d63d4d69b%2F046dec14-f1e8-4e1b-a1e9-804ee7db6453%2Fhuj4cfa_processed.jpeg&w=3840&q=75)
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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