Bookmarks

Final Exam > Final > Final Problems

  Bookmark

Q1

(15 points possible)The circuit below shows a single-stage amplifier designed around a"QUADFET", a hypothetical transistor similar to a MOSFET, except that

For the purposes of this problem, assume that the QUADFET gainparameter is and that its threshold voltage is

.

Figure 1-1

In the circuit above, , , , , . The saturation-region models for the QUADFET are shownbelow, where (a) is the large-signal (bias) model, and (b) is the small-signal(incremental) model. Note that in both transistor models.

Textbook

Overview

Math Review

Week 1

Week 2

Week 3

Week 4

Week 5

Week 6

Practice Exam(Not Graded)

Final Exam

FinalFinal due May 12, 2016at 15:00 UTC

MITx: 6.002.3x Circuits and Electronics 3: Applications

Figure 1-2

For an input signal of the form , the complexamplitude of the output signal will be of theform:

(a) Calculate the numerical value of the high-frequency gain . Expressyour answer to two decimal places.

(b) Calculate the numerical value of the time constant , in milli-seconds (

).

You have used 0 of 4 submissions

Q2

(15 points possible)Consider the circuit shown in Figure 2-1, with , ,

radians/second, , and .

Figure 2-1

NOTE: Since the values for , , , and are all provided in the problemstatement, none of these variables should appear in your expressions forparts (a) to (d). Your expressions should only contain functions, numbers,and the variable .

(a) Derive the expression for in terms of , in (milli-amps).

(b) Derive the expression for in terms of , in (volts).

(c) Derive the expression for in terms of , in (milli-amps).

(d) Derive the expression for in terms of , in (volts).

You have used 0 of 4 submissions

Q3

(15 points possible)Consider the circuit shown in Figure 3-1. Assume that the op-amp is ideal,and .

Figure 3-1

We model the two diodes with the following I-V characteristics:

where is the current through the diode, is the reverse biassaturation current, is the voltage across the diode, and

is the thermal voltage.

(a) Given , calculate the numerical value for , in milli-Volts (). Express your answer to two decimal places.

(b) Given , calculate the numerical value for , in milli-Volts ( ).

You have used 0 of 4 submissions

Q4

(15 points possible)

Assume that the MOSFET in the following circuit behaves according to and

when operating in its saturation region, . Furtherassume that the op-amp in the circuit is ideal.

Figure 4-1

(a) Under these assumptions (and that the MOSFET is operating in itssaturation region), derive the expression of as a function of , interms of one or more of the variables , , , , and .

Enter "VS" for , "VT" for , and "vIN" for .

Note carefully the polarity of the two voltage sources; one is drawn upside downrelative to the other.

(b) Derive the expression of the maximum value of , in terms of one ormore of the variables , , , , and , such that the MOSFEToperates in its saturation region.

Enter "VS" for , "VT" for , and "vIN" for .

You have used 0 of 4 submissions

Q5

(10 points possible)For the circuit shown below, find an expression for the value of that willbalance out the bridge to make , for an input voltage

. Express your answer in terms of one or more of thecircuit parameters , , , and . To specify , enter "w".

Figure 5-1

You have used 0 of 4 submissions

Q6

(15 points possible)Consider the following circuit. Assume the op-amps are ideal.

Voltage source

Figure 6-1

(a) Derive an expression for the voltage difference in terms of oneor more of the circuit parameters , , and . To specify , enter "RA".

(b) Derive an expression for in terms of one or more of the circuitparameters , , and . To specify , enter "RA".

(c) The output terminals A-A', loaded by the resistor , implements a(n):

Amplifier

Current source

Comparator

You have used 0 of 4 submissions

Q7

(15 points possible)Consider each of the following circuits and match the indicated variable tothe form of its response for by selecting the appropriate lettercorresponding to the waveforms in Figure 7-1. The waveforms mayrepresent current or voltage as a function of time for . The arrowsrepresent the slope of the curve at . Assume the parameters , ,

, , and are all positive. For your convenience, a smaller copy ofFigure 7-1 is repeated within each sub-question.

Figure 7-1

(a) Given , where is the unit step function, ,

, and in the circuit shown in Figure 7-2, the form

of :

Waveform

Waveform

Waveform

Figure 7-2

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

(b) Given , where is the Dirac delta function,

, , and in the circuit shown in Figure

7-3, the form of :

Figure 7-3

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

(c) Given , , and in the circuit

shown in Figure 7-4, the form of :

Figure 7-4

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

(d) Given and in the circuit shown in Figure 7-5, the form of :

Figure 7-5

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

Waveform

© edX Inc. All rights reserved except where noted. EdX, Open edX and the edX and Open EdX logos are registeredtrademarks or trademarks of edX Inc.

© All Rights Reserved

Waveform

Waveform

Waveform

Waveform

You have used 0 of 4 submissions