**Circuit Analysis Problem:**Given \[ v_{S}(t) = 15 \cos (100t) \, V \]### Questions:a) Write \( v_{S}(t) \) in phasor form.b) In Figure 4a, what is \( Z_L \)?c) In Figure 4a, what is \( Z_C \)?### Explanation of Figures:**Figure 4a:** This figure represents an AC circuit consisting of:- A voltage source \( v_{S}(t) \) with a voltage of \( 15 \cos(100t) \, V \).- A series resistor of 10 ohms (Ω).- An inductor of 50 millihenries (mH).- A resistor of 15 ohms (Ω) in parallel with the combination of the 50 mH inductor.- A capacitor of 1 millifarad (mF) in parallel with the resistor-inductor combination.### Analyzing Figure 4a Components:1. **Inductor (\( Z_L \)) Calculation:** - Inductor \( Z_L \) can be found using \( Z_L = j \omega L \), where \( \omega = 100 \, rad/s \) and \( L = 50 \, mH \).2. **Capacitor (\( Z_C \)) Calculation:** - Capacitor \( Z_C \) can be found using \( Z_C = \dfrac{1}{j \omega C} \), where \( \omega = 100 \, rad/s \) and \( C = 1 \, mF \).

Three sub part of question 4 is solve as given below

Q4) Answer question related to circuit giver Given vs(t) = 15 cos(100t) V a) Write vs(t) in phasor form b) In Figure 4a, what is Z₁? c) In Figure 4a, what is Zc? US(1) 10 0 50 mH 150 Συ(0) Figure 4a Z₁ 42(1) 1mF

Q4) Answer question related to circuit giver Given vs(t) = 15 cos(100t) V a) Write vs(t) in phasor form b) In Figure 4a, what is Z₁? c) In Figure 4a, what is Zc? US(1) 10 0 50 mH 150 Συ(0) Figure 4a Z₁ 42(1) 1mF

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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