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The following impedances are connected in parallel in the electric circuit. Z, = 4 + 9j Z2 = 4 – 1 Zz = 2 – 9j If the equivalent impedance of the circuit is given by Z where 1 1. 1 1 +- z z,'z2 ' Z3 i. Find the equivalent impedance and express it in polar form. ii. Find the current I flowing in the circuit when a 230 V AC voltage source is connected to it, where the current is given by.

The following impedances are connected in parallel in the electric circuit. Z, = 4 + 9j Z2 = 4 – 1 Zz = 2 – 9j If the equivalent impedance of the circuit is given by Z where 1 1. 1 1 +- z z,'z2 ' Z3 i. Find the equivalent impedance and express it in polar form. ii. Find the current I flowing in the circuit when a 230 V AC voltage source is connected to it, where the current is given by.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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You are an electrical engineer in a manufacturing plant in which most processes have been automated. Your duties include the maintenance of the electrical and electronic systems installed in the plant. You are asked to analyze an electrical circuit that frequently malfunctions.

The following impedances are connected in parallel in the electric circuit. Z1 = 4 + 9j Z2 = 4 – 1 Z3 = 2 – 9j If the equivalent impedance of the circuit is given by Z where 1 1 1 + + Z1' Z2' Z3 = - i. Find the equivalent impedance and express it in polar form. ii. Find the current I flowing in the circuit when a 230 V AC voltage source is connected to it, where the current is given by. V I =- iii. Deduce the square apparent power P, = 1*z² of the circuit using de Moivre's theorem where necessary. iv. Due to a malfunction in the power supply, it was found that the square apparent power P, of the circuit dropped by half. Assuming that the impedance Z remained constant, calculate the current I flowing in the circuit during the malfunction using the equation given in part ii. Use de Moivre's theorem in your calculations where necessary.
Transcribed Image Text:The following impedances are connected in parallel in the electric circuit. Z1 = 4 + 9j Z2 = 4 – 1 Z3 = 2 – 9j If the equivalent impedance of the circuit is given by Z where 1 1 1 + + Z1' Z2' Z3 = - i. Find the equivalent impedance and express it in polar form. ii. Find the current I flowing in the circuit when a 230 V AC voltage source is connected to it, where the current is given by. V I =- iii. Deduce the square apparent power P, = 1*z² of the circuit using de Moivre's theorem where necessary. iv. Due to a malfunction in the power supply, it was found that the square apparent power P, of the circuit dropped by half. Assuming that the impedance Z remained constant, calculate the current I flowing in the circuit during the malfunction using the equation given in part ii. Use de Moivre's theorem in your calculations where necessary.
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