Please answer in typing format please ASAPPlease it's urgent to check **Problem 7.109:**Find \( v_o(t) \) for \( t > 0 \) in the circuit in Fig. P7.109 and plot the response, including the time interval just prior to moving the switch.**Figure P7.109:**- The circuit features a 12V voltage source connected to a 2 kΩ resistor in series.- A switch is initially open at \( t = 0 \) and can connect the 2 kΩ resistor and a 6.25 μF capacitor in series with a 1 mH inductor.- The output voltage \( v_o(t) \) is measured across a 1 kΩ resistor, parallel with the inductor-capacitor branch.**Diagram Explanation:**- Prior to \( t = 0 \), the circuit is steady-state with the switch open.- At \( t = 0 \), the switch closes, allowing current to flow through the capacitor, inductor, and 1 kΩ resistor.- The question involves analyzing the transient response and determining \( v_o(t) \) after the switch is closed. The circuit changes its configuration at \( t = 0 \), necessitating analysis of both the initial condition and the transient response involving the reactive components (inductor and capacitor).

The given circuit is We need to determine the plot the voltage vo(t).

Find vo(t) for t> 0 in the circuit in Fig. P7.109 and plot the response, including the time interval just prior to moving the switch. +1 12 V (+ 2 ΚΩ www t = 0 6.25 μF Figure P7.109 1mH + 1 kN v₂(t)

Find vo(t) for t> 0 in the circuit in Fig. P7.109 and plot the response, including the time interval just prior to moving the switch. +1 12 V (+ 2 ΚΩ www t = 0 6.25 μF Figure P7.109 1mH + 1 kN v₂(t)

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Please answer in typing format please ASAP

Please it's urgent to check

**Problem 7.109:**

Find \( v_o(t) \) for \( t > 0 \) in the circuit in Fig. P7.109 and plot the response, including the time interval just prior to moving the switch.

**Figure P7.109:**

- The circuit features a 12V voltage source connected to a 2 kΩ resistor in series.
- A switch is initially open at \( t = 0 \) and can connect the 2 kΩ resistor and a 6.25 μF capacitor in series with a 1 mH inductor.
- The output voltage \( v_o(t) \) is measured across a 1 kΩ resistor, parallel with the inductor-capacitor branch.

**Diagram Explanation:**

- Prior to \( t = 0 \), the circuit is steady-state with the switch open.
- At \( t = 0 \), the switch closes, allowing current to flow through the capacitor, inductor, and 1 kΩ resistor.
- The question involves analyzing the transient response and determining \( v_o(t) \) after the switch is closed.

The circuit changes its configuration at \( t = 0 \), necessitating analysis of both the initial condition and the transient response involving the reactive components (inductor and capacitor).

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Step 1: State the given data.

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Step 2: Finding the initial conditions.

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Step 3: Finding diL(0+)/dt.

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Step 4: Finding the current i_L(t) for t > 0.

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Step 5: Finding the voltage vo(t) .

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Step 6: Drawing the voltage vo(t) .

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