ECE 2100
Spring 2010
Homework assignment 3
Due March 11, 2010
Covered: Chapters 57:
Inductors and capacitors, Natural and step responses of RC and
RL circuits, natural and step responses of RLC circuits, under, over and critically damped
responses.
1)
Prelab: Consider the following RC circuit and RL circuits:
a.
For the RC circuit, what its time constant?
b.
What will the RC step response be? Hint: what are I(
∞
) and Vout(
∞
) if
Vin(t)=1V·u(t)?
c.
For the LC circuit, what its time constant?
d.
What will the LC step response be? Hint: what are I(
∞
) and Vout(
∞
) if
Vin(t)=1V·u(t)?
2)
Prelab: Consider the following RLC circuit which is driven by the function generator
as shown below. Note that the 50
Ω
load which appears on the output of the function
generator is also placed in the circuit diagram. The square wave transitions from zero
to +1.0 V.
a.
What is the equivalent parallel resistance in this RLC circuit?
b.
Calculate the parameters
α
and
ω
0
for this circuit and determine the type of
response which v(t) will have. Is it under damped, over damped, or critically
damped?
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 Spring '05
 KELLEY/SEYLER
 RC circuit, RL circuit, LC circuit, Book problem, a. Sketch Vout

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