Homework 29
ECE201: Linear Circuit Analysis
Due in class: Wednesday, November 9, 2011
Question 1
The data listed in the following table was taken for the circuit shown in the following figure.
a.
Fill in the values for the third column of the following table.
b.
What is the value for
R
L
such that the power delivered to
R
L
is the maximum? Find the
maximum power delivered to
R
L
.
c.
Assume that
R
1
=1k
and we now take it out of the circuit,
i.e.
we set
R
1
=0, what is the
value for
R
L
such that the power delivered to
R
L
is the maximum? Find the maximum
power delivered to
R
L
.
R
L
(k
)
v
AB
(V)
i
A
(mA)
4
8
10
10
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View Full DocumentHints (you should be able to solve the previous problem without the hints. Please refrain from
reading the hints unless you have invested significant effort).
You are not required to write up answers for the questions in this hint.
1.
Do you really need to know the value of
R
1
to solve subquestions a) and b)?
2.
Is it possible to enclose
R
1
together with the square box to form a new network?
3.
If so, please redraw the circuit (we strongly recommend you do so, as this shows the
magic of abstraction that is universal for engineering).
4.
For the new circuit with the new network, is
i
A
still the same,
i.e.
the current flowing into
the network from node A?
5.
Is
v
AB
the voltage across the resistor
R
L
?
6.
If we know the voltage across a resistor, how do we calculate the current through it? Is
v
AB
=
R
L
i
A
(don’t make your conclusion too quickly)?
7.
Now that we filled the table, how do we model the new network,
i.e.
the network you
drew in step 3? Can we use the Thevenin’s equivalent circuit to model the network?
8.
What is the relationship between
v
AB
,
i
A
, and the two variables of Thevenin equivalent
circuit,
V
s
, and
R
TH
?
9.
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 Fall '08
 ALL
 Inductor, RC circuit, Thévenin's theorem, VL

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