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Electronics Handbook/Circuits/RLC Series
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RLC Series
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Circuit Analysis
Circuit's Impedance
Natural Response
±
. There is only one real root,
s = -αt
=
, There are two real roots,
±
=
, There are two complex roots,
±
=
Current change with time depends on the value of R L and C
. Dòng điện giảm dần theo hàm số mủ của e
. Dòng điện giảm đến một giá trị âm rồi tăng đến một giá trị dương
. Mạch điện có có Dòng Điện của Sóng Sin giảm dần theo theo thời gian
Resonance Response
At resonance
.
Analyze the circuit at
. Capacitor opens circuit
. Inductor opens circuit
.
At resonance, series RLC is capable of select a bandwidth of frequencies where voltage is stable does not change with frequencies. Therefore, can be used as Tuned - Resonance Band Pas Selected Filter
Summary
The natural Response of the RLC series is a second order differential equation of current
Depends on the value of Resistance the equation has
{| class="wikitable" width=100%
! One Real Root !! Two Real Roots !! Two Complex Roots
|-
| One real root || Two real roots ||
|}
At Resonance when all the frequency dependent components cancel out RLC series behaves like Tuned Resonance Selected Band Pass Filter