8.47 Source Vs in the circuit of Fig. P8.47 is connected to two industrial loads, with equivalent impedances Z₁ and Z₂, via two identical transmission lines, each characterized by an equivalent impedance Zline = (0.5 + j0.3) 2. If Z₁ = (8 + j12) 22 and Z₂ = (6+j3) 22: (a) Determine the power factors for Z₁, Z₂, and source V₁. (b) Specify the capacitance of a shunt capacitor C that would raise the power factor of the source to 0.95 when connected between terminals (a, b). The source frequency is 12 kHz. Vs Transmission line a 1Ω @ 05Ω 10.3 Ω in m b C Z₁ Transmission line 0.5 Ω j0.3 Ω m Figure P8.47: Circuit for Problem 8.47. Z₂

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8.47 Source Vs in the circuit of Fig. P8.47 is connected to two
industrial loads, with equivalent impedances Z₁ and Z₂, via two
identical transmission lines, each characterized by an equivalent
impedance Zline = (0.5 + j0.3) 22. If Z₁ = (8 + j12) S2 and
Z₂ = (6+j3) S2:
(a) Determine the power factors for Z₁, Z2, and source V₁.
(b) Specify the capacitance of a shunt capacitor C that would
raise the power factor of the source to 0.95 when connected
between terminals (a, b). The source frequency is 12 kHz.
Vs
+
Transmission
line
a
19 @ 05Ω j0.3 Ω
mn m
b
C
N
Z₁
Transmission
line
0.5 Ω j0.3 Ω
mn m
Figure P8.47: Circuit for Problem 8.47.
Z₂
Transcribed Image Text:8.47 Source Vs in the circuit of Fig. P8.47 is connected to two industrial loads, with equivalent impedances Z₁ and Z₂, via two identical transmission lines, each characterized by an equivalent impedance Zline = (0.5 + j0.3) 22. If Z₁ = (8 + j12) S2 and Z₂ = (6+j3) S2: (a) Determine the power factors for Z₁, Z2, and source V₁. (b) Specify the capacitance of a shunt capacitor C that would raise the power factor of the source to 0.95 when connected between terminals (a, b). The source frequency is 12 kHz. Vs + Transmission line a 19 @ 05Ω j0.3 Ω mn m b C N Z₁ Transmission line 0.5 Ω j0.3 Ω mn m Figure P8.47: Circuit for Problem 8.47. Z₂
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