underdamped second order systemsglennc/e220/e220l16b.pdf · underdamped second order systems ......
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Underdamped Second Order Systems • Underdamped case results in complex numbers • This generates a decaying oscillating case. • Consider a case of the RLC circuit below • Assume the Capacitor is initially charged to 10 V • What happens is C's voltage is creates current • That current transfers energy in the inductor L • Energy is lost by the resistors R • Eventually C's voltage drops below L's • Current flow changes direction • Inductor now transfers energy back to C • C and L exchange energy, R losses it • This energy loss is called Damping
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