MASSACHVSETTS INSTITVTE OF TECHNOLOGYDepartment of Electrical Engineering and Computer Science6.002 - Electronic CircuitsFall 2003Homework #7Handout F03-037Issued 10/16/2003 - Due 10/24/2003MASSACHVSETTS INSTITVTE OF TECHNOLOGYDepartment of Electrical Engineering and Computer Science6.002 - Electronic CircuitsFall 2003Homework #7Handout F03-037Issued 10/16/2003 - Due 10/24/2003Helpful Readings for this Homework: 8.2, 9.1, 10.1 - 10.3Exercise 7.1: a) Exercise 1, Chapter 9 (p. 659-660).b) Repeat part (a) with capacitors replaced by inductors. Take the value of eachinductor in mH to be numerically equal to the value of the capacitor it replaces in .Exercise 7.2: Exercise 16, Chapter 10 (p. 755).Exercise 7.3: Exercise 22, Chapter 10 (p. 759).Problem 7.1:The two-stage non-inverting MOSFET amplifier shown above is the same as the one examined in Problem 6.2 except that it is biased differently. In this problem, VI is chosen such that .a) Show that the input bias VI for which is given by.b) Draw the small-signal circuit for the amplifier and use it to determine thesmall-signal gain . Express G as a function of K, VT, VI, and R.µFVSVSvI+-vO+-vMID+-RRVIVMIDVO==VIVMIDVO==VIVT1–12KR VSV–T()++KR----------------------------------------------------------------+=Gvoutvin---------=Problem 7.2: Problem 22, Chapter 10 (p. 780).Problem 7.3:The circuit shown is used to pulse the current in the coil of a relay, modeled by theinductor L. The design is such that the relay contacts close when the current reaches70% of its steady-state value (i.e. the value reached at the time ). The resistor Ris placed in parallel with the relay coil (L) to limit transient voltages when theMOSFET is switched off.a) Assume that the MOSFET operates in the saturation region for 0 < t < T.Determine and sketch and , indicating clearly the waveforms fort < 0, 0 < t < T, and T < t.b) For the case examined in part (a), what limit must be placed on the maximumcoil 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 1.5Vs?vItVTVoT >> L/RVSRLivI+-vDS+-iDSK2----vGSVT–()2=TLR---»it()
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