In the circuit of Fig. 8_1, which of the following statements is true? 10 Ω 25 Ω . 5V At=0 Fig. 8_1 v(t)=-(2.5) e-2125, DO Time Constant-2.5 second Ⓒi (0)-4 (A) OVL (0) -10 V Ⓒi(t)-12 e 24, DO 50 92 www 40 mH

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In the circuit of Fig. 8_1, which of the following statements is **true**?

![Circuit Diagram: Fig. 8_1](A circuit diagram depicting a circuit with the following components and values: A resistor with 10 Ω, a resistor with 25 Ω, a voltage source of 5V, and a 40 mH inductor in series with a 50 Ω resistor. The circuit is interconnected and marked with a current \(i_L\) flowing through the inductor. The position \(t = 0\) is indicated on the switch.)

**Options:**
1. \( v(t) = -(2.5) \, e^{2125t}, \, t > 0 \)
2. Time Constant = 2.5 second
3. \( i_L(0) = 4 \, (A) \)
4. \( V_L(0) = 10 \, V \)
5. \( i_L(t) = 12c^{-24t}, \, t > 0 \)
Transcribed Image Text:In the circuit of Fig. 8_1, which of the following statements is **true**? ![Circuit Diagram: Fig. 8_1](A circuit diagram depicting a circuit with the following components and values: A resistor with 10 Ω, a resistor with 25 Ω, a voltage source of 5V, and a 40 mH inductor in series with a 50 Ω resistor. The circuit is interconnected and marked with a current \(i_L\) flowing through the inductor. The position \(t = 0\) is indicated on the switch.) **Options:** 1. \( v(t) = -(2.5) \, e^{2125t}, \, t > 0 \) 2. Time Constant = 2.5 second 3. \( i_L(0) = 4 \, (A) \) 4. \( V_L(0) = 10 \, V \) 5. \( i_L(t) = 12c^{-24t}, \, t > 0 \)
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