In the circuit shown in Fig. 9_3, which of the following statements is true? il(t) 0.25H ww 2.50 i₁(0)=4 A OV (0)-10 V 6A Fig. 9_3 t=0 0.25F= Ve(t)=16et-e-t (V), for t>0 O The circuit is critically damped. Vc (t)

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### Circuit Analysis Exercise

In the circuit shown in Fig. 9-3, which of the following statements is **true**?

#### Diagram Explanation
- The circuit consists of an inductor (0.25 H), a resistor (2.5 Ω), a switch (t = 0), and a capacitor (0.25 F).
- There is a current source providing 6 A.
- The current through the inductor is labeled as \( i_L(t) \).
- The voltage across the capacitor is labeled as \( V_C(t) \).

### Options for Evaluation:
1. \( V_C(t) = 16e^{-2t} - e^{-8t} \) (V), for \( t > 0 \)
2. The circuit is critically damped.
3. \( i_L(0) = 4 \, \text{A} \)
4. \( V_C(0) = 10 \, \text{V} \)

**Choose the correct statement based on the circuit analysis and provided equations.**
Transcribed Image Text:### Circuit Analysis Exercise In the circuit shown in Fig. 9-3, which of the following statements is **true**? #### Diagram Explanation - The circuit consists of an inductor (0.25 H), a resistor (2.5 Ω), a switch (t = 0), and a capacitor (0.25 F). - There is a current source providing 6 A. - The current through the inductor is labeled as \( i_L(t) \). - The voltage across the capacitor is labeled as \( V_C(t) \). ### Options for Evaluation: 1. \( V_C(t) = 16e^{-2t} - e^{-8t} \) (V), for \( t > 0 \) 2. The circuit is critically damped. 3. \( i_L(0) = 4 \, \text{A} \) 4. \( V_C(0) = 10 \, \text{V} \) **Choose the correct statement based on the circuit analysis and provided equations.**
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