Download EECS 40, Fall 2006 Midterm 1 - Circuit Analysis and more Exams Microelectronic Circuits in PDF only on Docsity!
- For t,0, the switch was open and Ve-2=0.14. Remember to put down units.out=0. At t = 0s, S1 closes. NOTE: =10-6; k =10^3 ; e-1=0.37;
(a) (12 pts) Construct the differential equation of V Hint: you may solve this use Mesh of Nodal analysis, or even simpler, Thevnin equivalent out in terms of all the given quantities. circuit. Write all your steps.
(b) (5pts) Write a closed-form expression for Vout (t) for t>
(c) (8 pts) Plot V points: starting value, 1 time constant value, value at infinityout as a function of time t = 0 to t = 100ms. Label the y-axis and all key
(d) (5pts) As t approaches infinity, what value will i 3 approach?
(e) (5 pts) Now, suppose someone disturbed the circuit and S1 is re-opened at 40 ms again!Construct the new differential equation.
(f) (6pts) What is the new time constant? What is the new expression for Vout (t) for t>40 ms.
(g) (5pts) in this case, as t approached infinity, what value will i 3 approach?
(h) (5pts) plot the newV40 ms. Label the y-axis and all key points: out from t = 0ms to 100 ms to include the re-opening of the switch at starting value, value at switching point, 1 time constant values, value at infinity.
(e) (5 pts) Solve for Vout (this is simply the Thevenin Voltage)
(f) Now we short the two end terminals
(5 pts) What is V 1?
(g) (5 pts) What is Vx?
(h) (5 pts) what is Isc?
(i) (5 pts) what is the Thevenin Resistance?
(j) (5 pts) draw the Thevernin Equivalent Circuit.
