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Find the value of the impedance Z (as a complex number) in the AC circuit diagram below (in phasor form) given that Vgen = 10.0040° and I = 24 - 30°. Your answer may be given in either cartesian or in polar form. Please show all your calculations in detail. 5[Ohm] Vgen Z 3i (Ohm] -2i [Ohm] reference

Find the value of the impedance Z (as a complex number) in the AC circuit diagram below (in phasor form) given that Vgen = 10.0040° and I = 24 - 30°. Your answer may be given in either cartesian or in polar form. Please show all your calculations in detail. 5[Ohm] Vgen Z 3i (Ohm] -2i [Ohm] reference

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Please show all calculations in detail. The answer should be shown in both polar and cartesian form.

Find the value of the impedance Z (as a complex number) in the AC circuit diagram below (in phasor form) given that Vgen = 10.0020° and I = 24 - 30°. Your answer may be given in either cartesian or in polar form. Please show all your calculations in detail. 5 [Ohm] Vgen 31 (Ohm] Z -2i [Ohm] reference Hint: When impedances Z1 and Z2 are combined in series, the equivalent impedance is given by Zeg = Z1 + Z2. When impedances Z1 and Z2 are combined in parallel, the equivalent impedance is given by 1/Zeg = 1/Z1 + 1/2, which cah also be written as Zeg = Z122 / (Z1 + Z2). Vgen = 10.0040° |= 22 - 30° = Vgen/l = 10.0020° / 2L- 30° 1/Zt = 22 - 30° / 10.0020° Zt = 0.2 2-30° Zt = 1/Z + 1/3i + 1/(5-2i) Zt = 1/(0.22-30°) + 1/3i – 1/(5-2i) Zt = 6.08 2-89.72° elll
Transcribed Image Text:Find the value of the impedance Z (as a complex number) in the AC circuit diagram below (in phasor form) given that Vgen = 10.0020° and I = 24 - 30°. Your answer may be given in either cartesian or in polar form. Please show all your calculations in detail. 5 [Ohm] Vgen 31 (Ohm] Z -2i [Ohm] reference Hint: When impedances Z1 and Z2 are combined in series, the equivalent impedance is given by Zeg = Z1 + Z2. When impedances Z1 and Z2 are combined in parallel, the equivalent impedance is given by 1/Zeg = 1/Z1 + 1/2, which cah also be written as Zeg = Z122 / (Z1 + Z2). Vgen = 10.0040° |= 22 - 30° = Vgen/l = 10.0020° / 2L- 30° 1/Zt = 22 - 30° / 10.0020° Zt = 0.2 2-30° Zt = 1/Z + 1/3i + 1/(5-2i) Zt = 1/(0.22-30°) + 1/3i – 1/(5-2i) Zt = 6.08 2-89.72° elll
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