A 26-mH inductor, an 8.5-N resistor, and a 6.1-V battery are connected in series as in the figure below. The switch is closed at t = 0. L R (a) Find the voltage drop across the resistor at t = 0. (b) Find the voltage drop across the resistor after one time constant has passed. (c) Find the voltage drop across the inductor at t = 0. (d) Find the voltage drop across the inductor after one time constant has elapsed.

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A 26-mH inductor, an 8.5-Ω resistor, and a 6.1-V battery are connected in series as in the figure below. The switch is closed at t = 0.

**Diagram Description:**

- The diagram shows a simple circuit with a battery, resistor, inductor, and a switch. 
- The battery, labeled with voltage \( \epsilon = 6.1 \, \text{V} \), is connected in series with a resistor \( R = 8.5 \, \Omega \) and an inductor \( L = 26 \, \text{mH} \).
- The switch \( S \), when closed, allows current to flow through the circuit.

**Tasks:**

(a) Find the voltage drop across the resistor at \( t = 0 \).  
\_\_\_\_\_\_ V

(b) Find the voltage drop across the resistor after one time constant has passed.  
\_\_\_\_\_\_ V

(c) Find the voltage drop across the inductor at \( t = 0 \).  
\_\_\_\_\_\_ V

(d) Find the voltage drop across the inductor after one time constant has elapsed.  
\_\_\_\_\_\_ V
Transcribed Image Text:A 26-mH inductor, an 8.5-Ω resistor, and a 6.1-V battery are connected in series as in the figure below. The switch is closed at t = 0. **Diagram Description:** - The diagram shows a simple circuit with a battery, resistor, inductor, and a switch. - The battery, labeled with voltage \( \epsilon = 6.1 \, \text{V} \), is connected in series with a resistor \( R = 8.5 \, \Omega \) and an inductor \( L = 26 \, \text{mH} \). - The switch \( S \), when closed, allows current to flow through the circuit. **Tasks:** (a) Find the voltage drop across the resistor at \( t = 0 \). \_\_\_\_\_\_ V (b) Find the voltage drop across the resistor after one time constant has passed. \_\_\_\_\_\_ V (c) Find the voltage drop across the inductor at \( t = 0 \). \_\_\_\_\_\_ V (d) Find the voltage drop across the inductor after one time constant has elapsed. \_\_\_\_\_\_ V
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