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Q4) Answer question related to circuit given 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? es(1)( 10 0 50 mH 150 (1) Figure 4a Z₁ Z₂ 1 (1) 1mF Z₂

Q4) Answer question related to circuit given 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? es(1)( 10 0 50 mH 150 (1) Figure 4a Z₁ Z₂ 1 (1) 1mF Z₂

Introductory Circuit Analysis (13th Edition)
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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### Circuit Analysis - Educational Exercise **Question 4 (Q4): Answer the questions related to the given circuit** Given \( v_s(t) = 15 \cos(100t) \) V #### Tasks: a) **Write \( v_s(t) \) in phasor form** _______________ b) **In Figure 4a, what is \( Z_L \)?** _______________ c) **In Figure 4a, what is \( Z_C \)?** _______________ #### Note: **Figure 4b is equivalent to Figure 4a as follows:** d) **In Figure 4b, \( Z_1 = 10 \,\Omega \), let \( Z_2 = Z_L \) (found in part (b)), and let \( Z_3 = \) {15 \( \Omega \) resistor in parallel with \( Z_C \) (found in part (c))}.** **Find \( Z_3 \) in polar form. Show work, box answer.** e) **Compute \( Z_{eq} = Z_1 + Z_2 + Z_3 \) in polar form.** f) **Compute current \( I \) in Figure 4b using \( V \) as the value obtained in part (a) and \( Z_{eq} \) obtained in part (e). Show all work, final answer should be in phasor form. Write units and box answer.** --- ### Diagrams #### Figure 4a: Circuit Diagram - **Components:** - Resistor (\( R \)) = 10 \( \Omega \) - Inductor (\( L \)) = 50 mH - Capacitor (\( C \)) = 1 mF - Voltage Source (\( v_s(t) = 15 \cos(100t) \) V) - **Circuit Layout:** - The resistor and inductor are in series with the voltage source. - The capacitor is in parallel with the series combination. #### Figure 4b: Equivalent Circuit Diagram - **Components:** - \( Z_1 = 10 \,\Omega \) - \( Z_2 = Z_L \) - \( Z_3 \) (Parallel combination of 15 \( \Omega \) resistor and \( Z_C \
Transcribed Image Text:### Circuit Analysis - Educational Exercise **Question 4 (Q4): Answer the questions related to the given circuit** Given \( v_s(t) = 15 \cos(100t) \) V #### Tasks: a) **Write \( v_s(t) \) in phasor form** _______________ b) **In Figure 4a, what is \( Z_L \)?** _______________ c) **In Figure 4a, what is \( Z_C \)?** _______________ #### Note: **Figure 4b is equivalent to Figure 4a as follows:** d) **In Figure 4b, \( Z_1 = 10 \,\Omega \), let \( Z_2 = Z_L \) (found in part (b)), and let \( Z_3 = \) {15 \( \Omega \) resistor in parallel with \( Z_C \) (found in part (c))}.** **Find \( Z_3 \) in polar form. Show work, box answer.** e) **Compute \( Z_{eq} = Z_1 + Z_2 + Z_3 \) in polar form.** f) **Compute current \( I \) in Figure 4b using \( V \) as the value obtained in part (a) and \( Z_{eq} \) obtained in part (e). Show all work, final answer should be in phasor form. Write units and box answer.** --- ### Diagrams #### Figure 4a: Circuit Diagram - **Components:** - Resistor (\( R \)) = 10 \( \Omega \) - Inductor (\( L \)) = 50 mH - Capacitor (\( C \)) = 1 mF - Voltage Source (\( v_s(t) = 15 \cos(100t) \) V) - **Circuit Layout:** - The resistor and inductor are in series with the voltage source. - The capacitor is in parallel with the series combination. #### Figure 4b: Equivalent Circuit Diagram - **Components:** - \( Z_1 = 10 \,\Omega \) - \( Z_2 = Z_L \) - \( Z_3 \) (Parallel combination of 15 \( \Omega \) resistor and \( Z_C \
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