MASSACHUSETTS INSTITUTE OF TECHNOLOGYDepartment of Electrical Engineering and Computer Science6.002 - Electronic CircuitsFall 2004Homework #7Handout F04-037Issued 10/21/2004 - Due 10/29/2004MASSACHUSETTS INSTITUTE OF TECHNOLOGYDepartment of Electrical Engineering and Computer Science6.002 - Electronic CircuitsFall 2004Homework #7Handout F04-037Issued 10/21/2004 - Due 10/29/2004Helpful Readings for this Homework: 8.2, 9.1, 10.1 - 10.3Exercise 7.1: a) Exercise 9.1, (p. 691).b) Repeat part (a) with capacitors replaced by inductors. Take the value of each inductor in mH to be numerically equal to the value of the capacitor it replaces in µF .Exercise 7.2: Exercise 10.16, (p. 800).Exercise 7.3: Exercise 10.22, (p. 804).Problem 7.1:VSVSvI+-vO+-vMID+-RRA two-stage non-inverting MOSFET amplifier is shown above. In this problem, VI is chosen such that VIVMIDVO==.a) Show that the input bias VI for which VIVMIDVO== is given by VIVT1– 12KR VSV–T()++KR----------------------------------------------------------------+=.b) Draw the small-signal circuit for the amplifier and use it to determine the small-signal gain Gvoutvin---------= . Express G as a function of K, VT, VI, and R.Problem 7.2: Problem 10.22, (p. 826). Assume that the capacitor is initially at zero volts.Problem 7.3:vItVTVoT >> L/RVSRLivI+-vDS+-iDSK2----vGSVT–()2=The circuit shown is used to pulse the current in the coil of a relay, modeled by the inductor L. The design is such that the relay contacts close when the current reaches 70% of its steady-state value (i.e. the value reached at the time TLR---»). The resistor R is placed in parallel with the relay coil (L) to limit transient voltages when the MOSFET is switched off.a) Assume that the MOSFET operates in the saturation region for 0 < t < T.Determine and sketch it() and vDSt(), indicating clearly the waveforms for t < 0, 0 < t < T, and T < t.b) For the case examined in part (a), what limit must be placed on the maximum coil current if the MOSFET is required to stay in the saturation region for 0 < t < T? Express the answer in terms of VS, R, K, VT, and Vo.c) For the case examined in part (a), what limit must be placed on the coil current ifthe maximum value of vDS is limited to
View Full Document
Unlocking...