Hello, I am confused on this question, the answer is attached as well but I am having difficulty with converting the complex numbers and the reasoning behind these steps. Thanks. (Problem 1)(a) Determine the equivalent impedance seen by the source Vs in Figure when: Vs (t) = 10cos(4000t + 60°) V, R₁ = 8000, R₂ = 5000, L = 200mH, C = 70nF (b) Determine theimpedance when vs(t)=10cos(2000t+60°)(V)R₂**FR₁VSwwwFigure P3.47ele Analysis:X₁ =@L=8002⇒Z₁ =+j·X₂ = +j.80091=357122⇒Zc =-j· Xc=-j.357192@CZeg₁ = ZR₂ +Z₁ = R₂ + jX₁ = 500+ j·8002=943.4/57.99eq1R2442.918+ j219.71=494.43/26.39Xceq2Zeq==●Zeg₁ R₁eq1Zegl + R₁eq1Zeg2.ZceqZeq2 +Zc==C494.27+j168.88= 522.3105/18.85

b) To find the equivalent impedance as seen from the source Vs

Answered: (Problem 1) (a) Determine the…

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Publisher:Robert L. Boylestad

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Hello, I am confused on this question, the answer is attached as well but I am having difficulty with converting the complex numbers and the reasoning behind these steps. Thanks.

(Problem 1)
(a) Determine the equivalent impedance seen by the source Vs in Figure when: Vs (t) = 10
cos(4000t + 60°) V, R₁ = 8000, R₂ = 5000, L = 200mH, C = 70nF (b) Determine the
impedance when vs(t)=10cos(2000t+60°)(V)
R₂
**F
R₁
VS
www
Figure P3.47
ele

Analysis:
X₁ =
@L=8002⇒Z₁ =+j·X₂ = +j.8009
1
=357122⇒Zc =-j· Xc=-j.357192
@C
Zeg₁ = ZR₂ +Z₁ = R₂ + jX₁ = 500+ j·8002=943.4/57.99
eq1
R2
442.918+ j219.71=494.43/26.39
Xc
eq2
Z
eq
=
=
●
Zeg₁ R₁
eq1
Zegl + R₁
eq1
Zeg2.Zc
eq
Zeq2 +Zc
=
=
C
494.27+j168.88= 522.3105/18.85

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