Question 4 (Homework problem 4.47 in the textbook by Rizzoni) Determine the equivalent impedance seen by the source v, in Figure P4.47 when: vs (t) = 10 cos(4000t + 60°) V, R1 = 8000, R2 = 5000, L= 200mH, C = 70NF 's Figure P4.47 ww

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hello i need to solve thi question, (Homework problem 4.47 in the textbook by Rizzoni) Determine the equivalent impedance seen by the source vs in Figure P4.47 when: vs (t) = 10 cos(4000t + 60°) V, R1 = 800Ω, R2 = 500Ω, L = 200mH, C = 70nF. I have added the given solution, however, I cannot get the last step correct. anny help would be gadly appreciated. 

 

Question 4
(Homework problem 4.47 in the textbook by Rizzoni) Determine the equivalent impedance seen
by the source v, in Figure P4.47 when: vs (t) = 10 cos(4000t + 60°) V, R1 = 8000, R2 = 5000, L=
200mH, C = 70nF
ER2
's
R,
Figure P4.47
Solution:
Known quantities:
R1 = 8000, R2 = 5000, L = 200mH, C = 70NF, vs (t) = 10 cos(4000t + 60°) V
%3D
Find:
The equivalent impedance of the circuit.
Analysis:
X, = @L=8002 = Z, =+j•X, =+j•80092
1
= 35712= Z =-j.X =-j-35712
Z = Z +Z, = R, + jX, = 500+j-8002 = 943.4/58° 2
%3D
Z R,
Z.
eql
442.9+ j219.7= 494.4226.4° 2
eq2
Z+R,
egl
'eq2
494.3+ j168.9 = 490.6Z18.9° Q
%3D
eq
Zw2 + Ze
eq2
ww
ele
ww
Transcribed Image Text:Question 4 (Homework problem 4.47 in the textbook by Rizzoni) Determine the equivalent impedance seen by the source v, in Figure P4.47 when: vs (t) = 10 cos(4000t + 60°) V, R1 = 8000, R2 = 5000, L= 200mH, C = 70nF ER2 's R, Figure P4.47 Solution: Known quantities: R1 = 8000, R2 = 5000, L = 200mH, C = 70NF, vs (t) = 10 cos(4000t + 60°) V %3D Find: The equivalent impedance of the circuit. Analysis: X, = @L=8002 = Z, =+j•X, =+j•80092 1 = 35712= Z =-j.X =-j-35712 Z = Z +Z, = R, + jX, = 500+j-8002 = 943.4/58° 2 %3D Z R, Z. eql 442.9+ j219.7= 494.4226.4° 2 eq2 Z+R, egl 'eq2 494.3+ j168.9 = 490.6Z18.9° Q %3D eq Zw2 + Ze eq2 ww ele ww
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