Consider the circuit shown in the figure below. Take = 10.00 V, L = 12 mH, and R = 9 Q. Shown in the figure below. S R ww (a) What is the inductive time constant of the circuit? (b) Calculate the current in the circuit 100 µs after the switch is closed. (c) What is the value of the final steady-state current? (d) How long does it take the current to reach 75.0% of its maximum value?

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Chapter1: Units, Trigonometry. And Vectors
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**Educational Website Text**

**Topic: Analysis of an RL Circuit**

Consider the circuit shown in the figure below. The parameters of the circuit are: 
- Voltage (\( \varepsilon \)) = 10.00 V
- Inductance (\( L \)) = 12 mH
- Resistance (\( R \)) = 9 \( \Omega \)

**Circuit Description:**
The circuit consists of a voltage source (\( \varepsilon \)) connected in series with an inductor (\( L \)) and a resistor (\( R \)). There is a switch (\( S \)) in the circuit that can be closed to complete the circuit.

**Questions to Explore:**

(a) What is the inductive time constant of the circuit?
(b) Calculate the current in the circuit 100 \( \mu s \) after the switch is closed.
(c) What is the value of the final steady-state current?
(d) How long does it take the current to reach 75.0% of its maximum value?

**Diagram Explanation:**
The diagram shows a simple series circuit including a battery, a switch (\( S \)), an inductor (\( L \)), and a resistor (\( R \)). The switch can be opened or closed to control whether the current flows through the circuit. The symbols used in the diagram are standard electrical symbols for these components.
Transcribed Image Text:**Educational Website Text** **Topic: Analysis of an RL Circuit** Consider the circuit shown in the figure below. The parameters of the circuit are: - Voltage (\( \varepsilon \)) = 10.00 V - Inductance (\( L \)) = 12 mH - Resistance (\( R \)) = 9 \( \Omega \) **Circuit Description:** The circuit consists of a voltage source (\( \varepsilon \)) connected in series with an inductor (\( L \)) and a resistor (\( R \)). There is a switch (\( S \)) in the circuit that can be closed to complete the circuit. **Questions to Explore:** (a) What is the inductive time constant of the circuit? (b) Calculate the current in the circuit 100 \( \mu s \) after the switch is closed. (c) What is the value of the final steady-state current? (d) How long does it take the current to reach 75.0% of its maximum value? **Diagram Explanation:** The diagram shows a simple series circuit including a battery, a switch (\( S \)), an inductor (\( L \)), and a resistor (\( R \)). The switch can be opened or closed to control whether the current flows through the circuit. The symbols used in the diagram are standard electrical symbols for these components.
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