A circuit consists of a 7.0 mH inductor coil, a 110 $2 resistor, a 8.0 V ideal battery, and an open switch-all connected in series. The switch closes at time t = 0. What is the initial rate of change of the current dI dt dt If = 0 Incorrect What is the steady-state value of the current If a long time after the switch is closed? 175% 0.072727272727273 At what time 175% does the current in the circuit reach 75% of its steady-state value? 3.7683387707274 Incorrect just after the switch closes? What is the rate of change of the current dI dt 1=1,2 when the current in the circuit is equal to its steady-state value? A/s A S

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A circuit consists of a 7.0 mH inductor coil, a 110 Ω resistor, an 8.0 V ideal battery, and an open switch—all connected in series. The switch closes at time \( t = 0 \).

**Question 1:**
What is the initial rate of change of the current \(\left. \frac{dI}{dt} \right|_{t=0}\) just after the switch closes?

- **User Input:** 0 A/s
- **Feedback:** Incorrect

**Question 2:**
What is the steady-state value of the current \( I_f \) a long time after the switch is closed?

- **User Input:** 0.072727272727273 A

**Question 3:**
At what time \( t_{75\%} \) does the current in the circuit reach 75% of its steady-state value?

- **User Input:** 3.7683387707274 s
- **Feedback:** Incorrect

**Question 4:**
What is the rate of change of the current \(\left. \frac{dI}{dt} \right|_{t=I_f/2}\) when the current in the circuit is equal to \(\frac{1}{2}\) its steady-state value?

- **Diagram Explanation:**
  - The document features an interactive interface with text fields where users can input answers to each question. Incorrect answers are highlighted with feedback for reevaluation.
Transcribed Image Text:A circuit consists of a 7.0 mH inductor coil, a 110 Ω resistor, an 8.0 V ideal battery, and an open switch—all connected in series. The switch closes at time \( t = 0 \). **Question 1:** What is the initial rate of change of the current \(\left. \frac{dI}{dt} \right|_{t=0}\) just after the switch closes? - **User Input:** 0 A/s - **Feedback:** Incorrect **Question 2:** What is the steady-state value of the current \( I_f \) a long time after the switch is closed? - **User Input:** 0.072727272727273 A **Question 3:** At what time \( t_{75\%} \) does the current in the circuit reach 75% of its steady-state value? - **User Input:** 3.7683387707274 s - **Feedback:** Incorrect **Question 4:** What is the rate of change of the current \(\left. \frac{dI}{dt} \right|_{t=I_f/2}\) when the current in the circuit is equal to \(\frac{1}{2}\) its steady-state value? - **Diagram Explanation:** - The document features an interactive interface with text fields where users can input answers to each question. Incorrect answers are highlighted with feedback for reevaluation.
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