회로이론 - Second-Order Circuits

Parallel RLC circuit

Series RLC circuit

Response Equations

If ζ > 1, the roots of the characteristic equation, s1 and s2 are real and unequal.
If ζ < 1, the roots are complex numbers.
If ζ = 1, the roots are real and equal

Overdamped

Since ζ > 1, the natural frequencies, s1 and s2 are real and unequal

Underdamped

Since ζ < 1, the roots of the characteristic equation can be written as

Critically Damped

The condition, ζ = 1, results in S1 = S2 = −ζω0

t가 들어가는 것이 Overdamped과의 차이.

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📄문제

ex) Parallel RLC Circuit

Let us analyze the parallel RLC circuit shown below,
given than R = 2Ω, C = 1/5F, L= 5H, iL(0) = −1A and Vc(0) = 4V.

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ex) Parallel RLC Circuit

Let us analyze the series RLC circuit shown below,
given than R = 6 Ω, C = 0.04 F, L= 1 H, iL(0) = 4 A and Vc(0) = −4 V