In the circuit shown in the figure, the inductor has inductance ?=3.50 HL=3.50 H and negligible internal resistance. The battery has a voltage of ?b=16.0 VVb=16.0 V and is connected in series to a resistor of resistance ?1=14.0 Ω.R1=14.0 Ω. A second resistor has a resistance of ?2=145 Ω.R2=145 Ω. The switch ?S has been open for a long time. At time ?=0,t=0, the switch is closed.What is the current ?b,0Ib,0 through the battery, the current ?2,0I2,0 through resistor ?2,R2, and the current ?L,0IL,0 through the inductor at ?=0.t=0.What is the current ?b,∞Ib,∞ through the battery, the current ?2,∞I2,∞ through resistor ?2,R2, and the current ?L,∞IL,∞ through the inductor long after the switch is closed (i.e., ?=∞). ### Educational Circuit Analysis#### Circuit DescriptionIn the circuit shown in the figure, the inductor has an inductance \( L = 3.50 \, \text{H} \) and negligible internal resistance. The battery has a voltage of \( V_b = 16.0 \, \text{V} \) and is connected in series to a resistor of resistance \( R_1 = 14.0 \, \Omega \). A second resistor has a resistance of \( R_2 = 145 \, \Omega \). The switch \( S \) has been open for a long time. At time \( t = 0 \), the switch is closed.#### Questions1. **At \( t = 0 \), determine:** - The current \( I_{b,0} \) through the battery. - The current \( I_{2,0} \) through resistor \( R_2 \). - The current \( I_{L,0} \) through the inductor.2. **Long after the switch is closed \((t = \infty)\), determine:** - The current \( I_{b,\infty} \) through the battery. - The current \( I_{2,\infty} \) through resistor \( R_2 \). - The current \( I_{L,\infty} \) through the inductor.#### Diagram Explanation- The diagram shows a series circuit consisting of: - **Inductor \( L \):** Located on the left, with the current \( I_L \) flowing through it downward. - **Battery:** Positioned in the middle, providing \( V_b \) as source voltage. - **Resistors \( R_1 \) and \( R_2 \):** Arranged with \( R_1 \) immediately after the battery, and \( R_2 \) after the switch in parallel line. - **Switch \( S \):** Initially open, positioned between the battery and resistors.#### Calculation Fields- **Initial Conditions \( t = 0 \):** - \( I_{b,0} = \) [Blank] A - \( I_{2,0} = \) [Blank] A - \( I_{L,0} = \) [Blank] A- **Steady State Conditions \( t = \

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Answered: In the circuit shown in the figure, the…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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In the circuit shown in the figure, the inductor has inductance ?=3.50 HL=3.50 H and negligible internal resistance. The battery has a voltage of ?b=16.0 VVb=16.0 V and is connected in series to a resistor of resistance ?1=14.0 Ω.R1=14.0 Ω. A second resistor has a resistance of ?2=145 Ω.R2=145 Ω. The switch ?S has been open for a long time. At time ?=0,t=0, the switch is closed.

What is the current ?b,0Ib,0 through the battery, the current ?2,0I2,0 through resistor ?2,R2, and the current ?L,0IL,0 through the inductor at ?=0.t=0.

What is the current ?b,∞Ib,∞ through the battery, the current ?2,∞I2,∞ through resistor ?2,R2, and the current ?L,∞IL,∞ through the inductor long after the switch is closed (i.e., ?=∞).

### Educational Circuit Analysis

#### Circuit Description
In the circuit shown in the figure, the inductor has an inductance \( L = 3.50 \, \text{H} \) and negligible internal resistance. The battery has a voltage of \( V_b = 16.0 \, \text{V} \) and is connected in series to a resistor of resistance \( R_1 = 14.0 \, \Omega \). A second resistor has a resistance of \( R_2 = 145 \, \Omega \). The switch \( S \) has been open for a long time. At time \( t = 0 \), the switch is closed.

#### Questions
1. **At \( t = 0 \), determine:**
- The current \( I_{b,0} \) through the battery.
- The current \( I_{2,0} \) through resistor \( R_2 \).
- The current \( I_{L,0} \) through the inductor.

2. **Long after the switch is closed \((t = \infty)\), determine:**
- The current \( I_{b,\infty} \) through the battery.
- The current \( I_{2,\infty} \) through resistor \( R_2 \).
- The current \( I_{L,\infty} \) through the inductor.

#### Diagram Explanation
- The diagram shows a series circuit consisting of:
- **Inductor \( L \):** Located on the left, with the current \( I_L \) flowing through it downward.
- **Battery:** Positioned in the middle, providing \( V_b \) as source voltage.
- **Resistors \( R_1 \) and \( R_2 \):** Arranged with \( R_1 \) immediately after the battery, and \( R_2 \) after the switch in parallel line.
- **Switch \( S \):** Initially open, positioned between the battery and resistors.

#### Calculation Fields
- **Initial Conditions \( t = 0 \):**
- \( I_{b,0} = \) [Blank] A
- \( I_{2,0} = \) [Blank] A
- \( I_{L,0} = \) [Blank] A

- **Steady State Conditions \( t = \

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