In alternating current, AC, theory, the voltage through an inductor leads the current by a phase angle of 90°. Complex numbers can help in this situation as when a real number is multiplied by i it rotates through 90° on the Argand diagram, with the magnitude remaining the same. This allows us to specify the impedance through an inductor as a complex number. This can be combined with a resistor to give a combined impedance of z = r + Li. If we have two such elements in a circuit, we can use complex numbers to determine the total impedance when they are in series and in parallel. In series Zt = Z1 + Z2 In Parallel Add the following two impedances (a) in series and (b) in parallel. Z1 = 4 + 3i and Z2 = 12 + 5i
In alternating current, AC, theory, the voltage through an inductor leads the current by a phase angle of 90°. Complex numbers can help in this situation as when a real number is multiplied by i it rotates through 90° on the Argand diagram, with the magnitude remaining the same. This allows us to specify the impedance through an inductor as a complex number. This can be combined with a resistor to give a combined impedance of z = r + Li. If we have two such elements in a circuit, we can use complex numbers to determine the total impedance when they are in series and in parallel. In series Zt = Z1 + Z2 In Parallel Add the following two impedances (a) in series and (b) in parallel. Z1 = 4 + 3i and Z2 = 12 + 5i
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.27P: An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8...
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- In alternating current, AC, theory, the voltage through an inductor leads the current by a phase angle of 90°. Complex numbers can help in this situation as when a real number is multiplied by i it rotates through 90° on the Argand diagram, with the magnitude remaining the same. This allows us to specify the impedance through an inductor as a complex number. This can be combined with a resistor to give a combined impedance of z = r + Li. If we have two such elements in a circuit, we can use complex numbers to determine the total impedance when they are in series and in parallel.
In series Zt = Z1 + Z2
In Parallel
Add the following two impedances (a) in series and (b) in parallel.
Z1 = 4 + 3i and Z2 = 12 + 5i
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