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Fall 2011
Homework assignment 3
Due October 14, 2011
*Note: there are two prelabs on this assignment.
RLC prelab (questions 1 and 2) was
given with HW2, but it will be due with HW3.
Question 3 is the prelab to Lab 3, and will
also be due with this homework as well.
Covered: Chapters 68:
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)
Lab 2 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)
Lab 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
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?
c.
Calculate ω
d
if the circuit is under damped and then, calculate the expected period
of oscillation.
I(t)
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 Spring '05
 KELLEY/SEYLER

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