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4 In an amplifier that employs a P-channel JFET, the device can usually be replaced with an N-channel JFET having similar specifications, provided that (a) all the resistors are reversed in polarity for the circuit in question (b) the power supply polarity is reversed for the circuit in question (c) the drain, rather than the source, is placed at signal ground (d) the input is supplied to the drain, rather than to the gate (e) the output is taken from the source, rather than from the drain 5 At the exact moment a 60-Hz ac sine wave is at its positive peak voltage, the instantaneous rate of change in the voltage is (a) large and positive (b) small and positive (c) large and negative (d) small and negative (e) zero 6 In order for a bipolar transistor to conduct under conditions of no signal input, the bias must be (a) in the forward direction at the emitter-base (E-B) junction, sufficient to cause forward breakover (b) in the reverse direction at the E-B junction, but not sufficient to cause avalanche effect (c) such that the application of a signal would cause the transistor to go into a state of cutoff (d) such that the application of a signal would cause the transistor to go into a state of saturation (e) such that the application of a signal would cause the transistor to become nonlinear 7 The risk of electrocution to personnel who service live electrical or electronic equipment increases in proportion to the (a) maximum amount of power, in watts, that the equipment demands (b) maximum amount of energy, in watt-hours, that the equipment consumes (c) maximum amount of current, in amperes, that the equipment draws (d) maximum potential difference, in volts, that exists in the equipment (e) maximum resistance, in ohms, that exists in the equipment 8 In a logical AND gate with four inputs, the output is high if and only if (a) none of the inputs are high, and all four are low (b) one of the inputs is high, and the other three are low (c) two of the inputs are high, and the other two are low (d) three of the inputs are high, and the other one is low (e) all four of the inputs are high, and none are low 9 Fill in the blank in the following sentence to make it true: A receiver derives its audio output by mixing incoming signals with the output of a tunable local oscillator (a) crystal set (b) direct conversion.

For the vector random variable x Rn , the notation x N ( , P) is used to indicate that x has the multivariate Gaussian or Normal density function described by px (X) = 1 (2 )n det(P) 1 exp (X ) P 1 (X ) 2

Again, the density of the vector Normal random variable is completely described by its expected value Rn and its covariance matrix P Rn n

.

If v and w are vector random variables in Rn related by v = g(w) where g is invertible and di erentiable with unique inverse f = g 1 , then the formula of eqn (416) extends to pv (V) where G = g

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(c) phase-locked (d) very low frequency (e) frequency modulation 10 In a power supply filter, the term L section refers to a combination of (a) a capacitor in parallel with the rectifier output, and a choke in series (b) a capacitor in parallel with the rectifier output, and another capacitor in series (c) a choke in parallel with the rectifier output, and a capacitor in series (d) a diode in parallel with the transformer output, and another diode in series (e) any of the above 11 What is the frequency of a pure sine wave that has a period of 50 nanoseconds (A nanosecond is equal to one thousand-millionth, or 10 9, of a second) (a) 20 MHz (b) 20 MHz (c) 020 GHz (d) 20 GHz (e) 20 GHz 12 Fill in the blank in the following sentence to make it correct: The peak inverse voltage rating of a rectifier diode is the maximum instantaneous reverse-bias voltage that it can withstand taking place without (a) forward breakover (b) avalanche effect (c) harmonic generation (d) oscillation (e) thermal destruction 13 Suppose a coil and capacitor are connected in series, with jXL = j 50 and jX C = j 90, and there is no resistance What is the complex impedance of this combination (a) 0 j40 (b) 0 + j40 (c) 40 + j50 (d) 50 j90 (e) It cannot be determined without more information 14 In an IC, the term linear arises from the fact that (a) all of the etchings on the semiconductor material are straight lines (b) the amplification factor generally decreases in direct proportion to the instantaneous input amplitude (c) the amplification factor generally increases in direct proportion to the instantaneous input amplitude (d) the amplification factor is generally constant as the instantaneous input amplitude varies (e) the device never exhibits distortion under any circumstances.

(428)

W=f (V)

15 Suppose a dc circuit has 10 k of resistance, and a 12-V battery is connected to it How much current is drawn from the battery (a) 12 A (b) 12 A (c) 12 mA (d) 12 mA (e) None of the above 16 The high input impedance of a MOSFET makes this type of device ideal for use in (a) weak-signal amplifiers (b) high-power oscillators (c) high-current rectifiers (d) antenna tuning networks (e) graphic equalizers

(V)

17 In Fig Exam-1, the dashed lines labeled (Z) can represent (a) the electric lines of flux in the vicinity of two electrically charged objects (X and Y inside the black box) having opposite polarity (b) the magnetic lines of flux in the vicinity of two electrically charged objects (X and Y inside the black box) having opposite polarity (c) the electric lines of flux in the vicinity of two electrically charged objects (X and Y inside the black box) having the same polarity (d) the magnetic lines of flux in the vicinity of two electrically charged objects (X and Y inside the black box) having the same polarity (e) any of the above

Example 410 Find the density of the random variable y where y = Ax, x N ( , P), and A is a nonsingular matrix Examples such as this are important in state estimation and navigation applications By eqn (428), py (Y) = which is equivalent to 1 exp (Y A ) n det (APA ) 2 (2 ) This shows that y N A , APA 1 APA

(Y A )

.

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