Consider R= 30 N for the circuit given below. 203 X=0 1 = 3u(-t) A (1) 2.5 µF = 'c R int 20 mH Determine vɖo"). (You must provide an answer before The value of vdo*) is V. +

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### Circuit Analysis Problem

Consider \( R = 30 \, \Omega \) for the circuit displayed below.

**Circuit Diagram Components:**

1. **Current Source:** Provides a current of \( 3u(-t) \, \text{A} \).
2. **Capacitor:** 
   - Capacitance: \( 2.5 \, \mu\text{F} \)
   - Voltage across the capacitor: \( v_C \) with polarity labeled.
   - Current through the capacitor: \( i_C \).

3. **Resistor 1:** 
   - Resistance: \( 2 \, \Omega \).

4. **Inductor:** 
   - Inductance: \( 20 \, \text{mH} \)
   - Voltage across the inductor: \( v_L \) with polarity labeled.
   - Current through the inductor: \( i_L \).

5. **Switch:** Positioned at \( t = 0 \).

6. **Resistor 2 (R):** 
   - Resistance given as \( R = 30 \, \Omega \).
   - Current through this resistor: \( i_R \).

**Problem Statement:**

Determine \( v_C(0^+) \). (You must provide an answer before moving forward.)

**Answer:**

The value of \( v_C(0^+) \) is \(\boxed{\phantom{0}}\) V.
Transcribed Image Text:### Circuit Analysis Problem Consider \( R = 30 \, \Omega \) for the circuit displayed below. **Circuit Diagram Components:** 1. **Current Source:** Provides a current of \( 3u(-t) \, \text{A} \). 2. **Capacitor:** - Capacitance: \( 2.5 \, \mu\text{F} \) - Voltage across the capacitor: \( v_C \) with polarity labeled. - Current through the capacitor: \( i_C \). 3. **Resistor 1:** - Resistance: \( 2 \, \Omega \). 4. **Inductor:** - Inductance: \( 20 \, \text{mH} \) - Voltage across the inductor: \( v_L \) with polarity labeled. - Current through the inductor: \( i_L \). 5. **Switch:** Positioned at \( t = 0 \). 6. **Resistor 2 (R):** - Resistance given as \( R = 30 \, \Omega \). - Current through this resistor: \( i_R \). **Problem Statement:** Determine \( v_C(0^+) \). (You must provide an answer before moving forward.) **Answer:** The value of \( v_C(0^+) \) is \(\boxed{\phantom{0}}\) V.
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