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ELEC 273 Experiment #4 Dynamic Response of RC, RL and RLC Circuits Concordia University
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ELEC 273 Experiment #4 Dynamic Response of RC, RL and RLC Circuits Concordia University
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ELEC 273 Experiment #4 Dynamic Response of RC, RLand RLC Circuits Concordia University
Dynamic Response of RC, RL and RLC Circuits
Objectives:
To observe the transient response of RC, RL and RLC circuits
To determine the frequency response of RC, RL and RLC circuits To
observe the effect of resonance and impedance on a RLC circuit
Introduction1:
The inductors and capacitors are considered passive elements in an
electricalcircuit. A circuit of first order contains only one storage element (C or L)
whereas acircuit of second order contains two storage elements (C or L).
➢ Transient Response:
When a sudden change is applied to a circuit containing storage elements (L
and/or C) and resistors, the different voltages and currents do not change
instantaneously and require time to adjust to new equilibrium values. This transition is
what we refer to asthe circuit’s “transient response”. This transient response can be
obtained by solving a linear differential equation that is derived from analyzing the
circuit.
dy (t ) L
First-order circuit: τ dt + y(t) = f(t) , τ = RC and τ = R
d2 y (t ) dy (t ) 2
Second-order circuit: ❑ y(t) = f(t)
d t2 + 2α dt +
n
The ‘step response’ of the second-order LDE can be of three distinct forms:
❑n
I) ‘over-damped’ (OD) , which occurs when α > , or Ϛ > 1
, ❑n
II) ‘critically-damped’ (CD), which occurs when α = , or Ϛ = 1
❑n
III) ‘under-damped’ (UD), which occurs when α < , or Ϛ < 1
➢ Frequency Response:
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