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ECE 300 Test 4 F09
1.
Draw an equivalent circuit at the terminals
a
and
b
consisting of one independent voltage source in
series with one resistor.
Be sure to indicate the numerical voltage of the source and the numerical
resistance of the resistor.
I
1
=
10A ,
R
2
=
50
Ω
,
R
3
=
20
Ω
The current source in parallel with the resistance can be source transformed in to a voltage source of 500V
in series with a resistance of 50 ohms.
Combining resistors in series we get a 500V source in series with a
70 ohm resistance.
The positive terminal of the voltage source is at the top (on the "
a
" end).
2.
Draw the Thevenin equivalent circuit with a numerical voltage and numerical resistance for this circuit at
terminals
a
and
b.
R
2
=
100
Ω
The Thevenin equivalent voltage is zero because there are no independent sources in the circuit.
The
Thevenin equivalent resistance can be determined by connecting a 1V test source with its positive end at
a
.
Then the voltage across the 100 ohm resistor is 1V positive on the left, meaning that the current that
flows through it is 10 mA to the right and into the 1V test source.
Then the ratio of the test voltage to the
test current is
R
TH
=
−
1V /10mA
=
−
100
Ω
.
I
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 Spring '09
 Watson
 Volt

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