b on 2, and f = 1000 Hz, write ZR, ZL, 5-35. A two-branch circuit consists of the com- ponents show in Fig. P5.35, where ZR = R for both resistors, ZL = jwL, and Zc= %3D %3D where o = 2rf. jaC' (a) Given C = 1.2 µF, L = 3 mH, R = 50 %3D %3D %3D 2, and f = 1000 Hz, write Z and Zc in both their rectangular and %3D 02 polar forms. (b) The impedance of one branch of the circuit is Z = Zc + ZR, while the impedance of the other branch is Z2 = Z1 + ZR: Find the total equiv- alent impedance of the circuit Z = Z, Z2 Z+Z2 both its rectangular and polar forms. %3| Inst and express your result in Z z L R R Figure P5.35 Two-branch circuit for problem P5.35. ww ww

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5-35. A two-branch circuit consists of the com-
ponents show in Fig. P5.35, where ZR = R
for both resistors, ZL = j@L, and Zc =
%3D
1
where w = 2nf.
joC'
(a) Given C = 1.2 µF, L = 3 mH, R = 50
F
%3D
%3D
2, and f = 1000 Hz, write ZR, Z,,
and Zc in both their rectangular and
polar forms.
(b) The impedance of one branch of the
circuit is Z = Zc+ ZR, while the
impedance of the other branch is
Z, = Z1 + ZR: Find the total equiv-
nalevin alent impedance of the circuit Z =
Z,Z2
Z + Z2
both its rectangular and polar forms.
and express your result in
Z2
Z
Z.
R
R
Figure P5.35 Two-branch circuit for problem
P5.35.
ww
ww
Transcribed Image Text:5-35. A two-branch circuit consists of the com- ponents show in Fig. P5.35, where ZR = R for both resistors, ZL = j@L, and Zc = %3D 1 where w = 2nf. joC' (a) Given C = 1.2 µF, L = 3 mH, R = 50 F %3D %3D 2, and f = 1000 Hz, write ZR, Z,, and Zc in both their rectangular and polar forms. (b) The impedance of one branch of the circuit is Z = Zc+ ZR, while the impedance of the other branch is Z, = Z1 + ZR: Find the total equiv- nalevin alent impedance of the circuit Z = Z,Z2 Z + Z2 both its rectangular and polar forms. and express your result in Z2 Z Z. R R Figure P5.35 Two-branch circuit for problem P5.35. ww ww
Expert Solution
Step 1

Given information:

R=50 Ω.

L=3 mH=3×10-3 H.

C=1.2 μF=1.2×10-6 F.

f=1000 Hz.

ω=2πf rad/sec.

The given circuit is shown below.

Electrical Engineering homework question answer, step 1, image 1

We need to solve subpart (a) and (b). Also we need to calculate the results in both rectangular and polar forms.

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