Given the equation above, why is the encircled term equated to zero for the function to be real? Shouldn't the imaginary term be equated to zero? Or is the encircled term already the imaginary term? please explain

Given the equation above, why is the encircled term equated to zero for the function to be real? Shouldn't the imaginary term be equated to zero? Or is the encircled term already the imaginary term? please explain

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter16: Inductance In Ac Circuits

Section: Chapter Questions

Problem 1PP: Inductive Circuits Fill in all the missing values. Refer to the following formulas:...

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Concept explainers

Latches and Flip Flop

Just like logic gates, the latches and flip-flops are the important elements of an electronic circuit. The logic gates form the important part of combinatorial circuits, while the latches and flip-flops form the essential part of a sequential circuit. Sequential circuits form the important concept of automata theory in electronics and electrical engineering, these circuits are a kind of logic circuit whose output depends on both present input and past inputs, that is, the input history.

Question

L R₂ jw
(R₁ R₂ - R₁ R₂ LCW²) +) (R₁ L + R₂ L) jw
2
2
The Transkr function to be Real;
2
R₁ R₂ = R₁ R₂ LC W² = 0
-
2
R₁ R₂ = R₁ R₂ Lc w ²
2
2
2
1 = LCW²
w².
(1
Wo =
LC
VLC
rad /sec

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