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Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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What is the circle symbol name and what does it mean? Topic is electrical engineering
# First Order RC Circuit

**Figure 3 - First Order RC Circuit:**

This figure illustrates two parts:

(a) **Original RC Circuit**: 
- Consists of resistors \( R_1 = 2 \, \text{k}\Omega \) and \( R_2 = 1 \, \text{k}\Omega \), a voltage source \( E = 5 \) volts, and a capacitor \( C = 10 \, \text{nF} \). 
- The switch is closed at \( t = 0 \).

(b) **Thevenin Equivalent of Original RC Circuit**:
- Includes the Thevenin resistance \( R_{\text{TH}} \) and Thevenin voltage \( V_{\text{TH}} \) across terminals a-b with the capacitor \( C \).

**Notes and Calculations**:
- **Given Parameters:**
  - \( R_1 = 2 \, \text{k}\Omega \)
  - \( R_2 = 1 \, \text{k}\Omega \)
  - \( E = 5 \, \text{V} \)
  - \( C = 10 \, \text{nF} \)

- **Calculations:**
  - The Thevenin voltage \( V_{\text{TH}} = 5 \, \text{V} \).

- **Problem:**
  - Determine the time constant \( \tau \) when the switch is closed at \( t = 0 \).
  - Given \( v_C(0^-) = 0 \), implying the capacitor was fully discharged before \( t = 0 \).
  
- **Equations and Expressions:**
  - \( v_C(t) \) and \( i_C(t) \) for \( t > 0 \).

The text notes additional handwritten annotations which may include specific formulas or extra details for further calculations.
Transcribed Image Text:# First Order RC Circuit **Figure 3 - First Order RC Circuit:** This figure illustrates two parts: (a) **Original RC Circuit**: - Consists of resistors \( R_1 = 2 \, \text{k}\Omega \) and \( R_2 = 1 \, \text{k}\Omega \), a voltage source \( E = 5 \) volts, and a capacitor \( C = 10 \, \text{nF} \). - The switch is closed at \( t = 0 \). (b) **Thevenin Equivalent of Original RC Circuit**: - Includes the Thevenin resistance \( R_{\text{TH}} \) and Thevenin voltage \( V_{\text{TH}} \) across terminals a-b with the capacitor \( C \). **Notes and Calculations**: - **Given Parameters:** - \( R_1 = 2 \, \text{k}\Omega \) - \( R_2 = 1 \, \text{k}\Omega \) - \( E = 5 \, \text{V} \) - \( C = 10 \, \text{nF} \) - **Calculations:** - The Thevenin voltage \( V_{\text{TH}} = 5 \, \text{V} \). - **Problem:** - Determine the time constant \( \tau \) when the switch is closed at \( t = 0 \). - Given \( v_C(0^-) = 0 \), implying the capacitor was fully discharged before \( t = 0 \). - **Equations and Expressions:** - \( v_C(t) \) and \( i_C(t) \) for \( t > 0 \). The text notes additional handwritten annotations which may include specific formulas or extra details for further calculations.
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