8.4 The Natural Response of a Series/Parallel RLC Circuit

8.4 The Natural Response of a Series/ParallelRLC Circuit• The damping effect is due to the presence of resistance R .• The damping factor α determines the rate at which theresponse is damped .• If R=0 , the circuit is said to be lossless and theoscillatory response will continue .• The damped oscillation exhibited by the underdampedresponse is known as ringing . It stems from the ability ofthe L and C to transfer energy back and forth betweenthem .C.T. Pan 318.4 The Natural Response of a Series/ParallelRLC CircuitStep 3 : Initial Condition+ + −t = 0, i(0 ) = i(0 ) = IFrom mesh equation , let t = 0+1 0+ d +Ri(0 ) + L i(0 ) + idt 0dt C∫=−∞d + R + V0R∴ i(0 ) =− i(0 ) − =− Idt L L L0+0V0−LC.T. Pan 32