Test 1 Solutions - Fall 2003
Problem 6


Determine the Thevenin equivalent of the circuit in the previous problem.

Note that we can use IB for the mesh current on the left since it is the only current on the left side of the circuit.


Define the dependent sources in terms of the mesh currents.

IB is just itself.
VCE = 40 K IC

Define the current source in terms of the mesh currents.

200 IB = - IC (Eq. 1)

This is one of our final mesh equations.
Removing the current source we see that there is no mesh on the right, thus only one KVL equation on the left.

1K IB + 4K IB + 10-5 (40 K IC) - 10 m = 0

Inserting the equivalent of IC from Eq. 1 gives

5K IB + 400m (- 200 IB) = 10m
4920 IB = 10 m
IB = 2.0325 mA

Eq. 1 now gives

IC = - 200 IB = -200 (2.0325m)
IC = - 406.5 mA

Finally, since VCE = VOC,

VOC = 40K IC
VOC = -16.26 V

Using the Thevenin equaivalent resistance found in problem 5, the Thevenin equivalent circuit is thus

OR


To check this result, we can find ISC and calculate RTh using VOC.

First note that VCE is zero, since it is shorted out, thus the voltage across the dependent voltage source is also zero.
KVL around the left side then yields

5K IB = 10 m
IB = 2 mA

Now, since the current through the 40 K resistor must be zero (why?), KCL immediately implies that

ISC = - 200 IB
ISC = - 400 mA

Thus

RTh = VOC / ISC = -16.26 / -400m
RTh = 40.65 KW

which agrees with our earlier result.


Return to:
Test 1, Fall 2003
ECE 202 Test Solution Index