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University of California at Berkeley College of Engineering Dept. of Electrical Engineering and Computer Sciences
EECS 40 Midterm I
Spring 1999 Prof. Roger T. Howe February 24, 1999
_Name: ______________________ Student ID ______________ Last, First
Guidelines
- Closed book and notes; one 8.5” x 11” page (both sides) of your own notes is allowed.
- You may use a calculator.
- Do not unstaple the exam.
- Show all your work and reasoning on the exam in order to receive full or partial credit.
Score
Problem
Points Possible Score
Total 50
- Equivalent Circuits [16 points]
2 kΩ
1 kΩ^ 3 kΩ
A
B
5 kΩ
1 mA
(a) [4 pts.] Find the Thevenin equivalent voltage between A and B.
(b) [4 pts.] Find the Thevenin equivalent resistance RTH between terminals A and B.
- Current-Voltage Characteristics [17 points]
10 kΩ
4 kΩ
B
2 kΩ
A
2 mA (^) Load
IOUT
VOUT
4 kΩ
(a) [4 pts.] Find the numerical value of the short-circuit current IOUT = ISC , when VAB = 0 V.
(b) [4 pts.] Plot the output current IOUT versus the output voltage VOUT on the graph below
IOUT
VOUT
[mA]
[V]
(c) [4 pts.] The circuit in parts (a) and (b) is modified by the addition of a 2 V voltage source, as shown below. Find the numerical value of the open-circuit voltage Voc.
10 kΩ
4 kΩ
B
2 kΩ
A
2 mA
Load
IOUT
VOUT
4 kΩ
2 V
(d) [5 pts.] Plot the output current IOUT versus the output voltage VOUT for the modified circuit on the graph below.
IOUT
VOUT
[mA]
[V]
(c) [4 pts.] For this part, the voltage source is removed and a 5 mA current source replaces the 6 kΩ resistor between nodes B and C. The “arrowhead” end of the current source points toward node B. Only node D is connected to the reference node for this part. Find the voltage VF.
(d) [5 pts.] Repeat part (c), but keep the 6 kΩ resistor connected between nodes B and C for this part.
