MICROELECT. CIRCUIT ANALYSIS&DESIGN (LL)
4th Edition
ISBN: 9781266368622
Author: NEAMEN
Publisher: MCG
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Textbook Question
Chapter 1, Problem 1.2P
(a) The intrinsic carrier concentration in silicon is to be no larger than
Expert Solution & Answer
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The input reactance of an infinitesimal linear dipole of length A/60 and radius a=A/200
is given by
Xin = – 120
[In(€/a) — 1]
tan(ke)
Assuming the wire of the dipole is copper with a conductivity of 5.7 x 10' S/m,
determine at f = 1 GHz the
(a) loss resistance
(b) radiation resistance
(c) radiation efficiency
(d) VSWR when the antenna is connected to a 50-ohm line
Example
Solve the octic polynomial
2x⁸-9x⁷+20x⁶-33x⁵+46x⁴-66x³+80x²-72x+32=0
Solution
Divide by x⁴
2x⁴-9x³+20x²-33x+46-66/x + 80/x² - 72/x³ + 32/x⁴=0
Combine and bring terms
2(x⁴+16/x⁴) - 9(x³+8/x³) +20(x²+4/x²)-33(x+2/x) + 46= 0
Let use substitution
Let x+2/x =u
(x+2/x)²= u²
x²+2x*2/x + 4/x² = u²
x²+4/x²= u²-4
(x+2/x)³= x³+8/x³+3x*2/x(x+2/x)
u³= x³+8/x²+6u
x³+8/x³= u³-6u
(x²+4/x²)²= x⁴+2x²*4/x² + 16/x⁴
(u²-4)²= x⁴+16/x⁴ + 8
x⁴+16/x⁴ = (u²-4)²-8
x⁴+16/x⁴ = u⁴-8u²+8
2(u⁴-8u²+8)-9(u³-6u)+20(u²-4)-33u+46=0
Expand and simplify
2u⁴-9u³+4u²+21u-18=0
After checking
(u-1)(u-2) Are factors
Then
2u²-3u-9=0
u=3, u=-3/2
Assignment question
Solve the octic polynomial
2s⁸+s⁷+2s⁶-31s⁴-16s³-32s²-160=0 using the above example question, please explain in detail
b)
Another waveform g(t) is defined by
=0
t≥0, α>0
otherwise
g(t)= At exp(-at)
and is plotted in Figure 1 (for representative values of 4 = 1 and α = 1).
g(t)
0.4T
0.3+
0.2
0.1+
2
0
2
Figure 1
8
c)
Show that its amplitude spectrum is |G(@)| = -
A
(a²+0²)²
Describe briefly, with the aid of labelled sketches, how changing a affects
the waveform in both the time and frequency domains.
d) Deduce the Fourier transform H(@) of h(t) = g(t)+g(t+b)+g(t-b) and
calculate its DC amplitude H(0).
Chapter 1 Solutions
MICROELECT. CIRCUIT ANALYSIS&DESIGN (LL)
Ch. 1 - Calculate the intrinsic carrier concentration in...Ch. 1 - (a) Calculate the majority and minority carrier...Ch. 1 - Consider ntype GaAs at T=300K doped to a...Ch. 1 - Consider silicon at T=300K . Assume the hole...Ch. 1 - Determine the intrinsic carrier concentration in...Ch. 1 - (a) Consider silicon at T=300K . Assume that...Ch. 1 - Using the results of TYU1.2, determine the drift...Ch. 1 - The electron and hole diffusion coefficients in...Ch. 1 - A sample of silicon at T=300K is doped to...Ch. 1 - (a) Calculate Vbi for a GaAs pn junction at T=300K...
Ch. 1 - A silicon pn junction at T=300K is doped at...Ch. 1 - (a) A silicon pn junction at T=300K has a...Ch. 1 - (a) Determine Vbi for a silicon pn junction at...Ch. 1 - A silicon pn junction diode at T=300K has a...Ch. 1 - Recall that the forwardbias diode voltage...Ch. 1 - Consider the circuit in Figure 1.28. Let VPS=4V ,...Ch. 1 - (a) Consider the circuit shown in Figure 1.28. Let...Ch. 1 - The resistor parameter in the circuit shown in...Ch. 1 - Consider the diode and circuit in Exercise EX 1.8....Ch. 1 - Consider the circuit in Figure 1.28. Let R=4k and...Ch. 1 - The power supply (input) voltage in the circuit of...Ch. 1 - (a) The circuit and diode parameters for the...Ch. 1 - Determine the diffusion conductance of a pn...Ch. 1 - Determine the smallsignal diffusion resistance of...Ch. 1 - The diffusion resistance of a pn junction diode at...Ch. 1 - A pn junction diode and a Schottky diode both have...Ch. 1 - Consider the circuit shown in Figure 1.45....Ch. 1 - Consider the circuit shown in Figure 1.46. The...Ch. 1 - A Zener diode has an equivalent series resistance...Ch. 1 - The resistor in the circuit shown in Figure 1.45...Ch. 1 - Describe an intrinsic semiconductor material. What...Ch. 1 - Describe the concept of an electron and a hole as...Ch. 1 - Describe an extrinsic semiconductor material. What...Ch. 1 - Describe the concepts of drift current and...Ch. 1 - How is a pn junction formed? What is meant by a...Ch. 1 - How is a junction capacitance created in a...Ch. 1 - Write the ideal diode currentvoltage relationship....Ch. 1 - Describe the iteration method of analysis and when...Ch. 1 - Describe the piecewise linear model of a diode and...Ch. 1 - Define a load line in a simple diode circuit.Ch. 1 - Under what conditions is the smallsignal model of...Ch. 1 - Describe the operation of a simple solar cell...Ch. 1 - How do the i characteristics of a Schottky barrier...Ch. 1 - What characteristic of a Zener diode is used in...Ch. 1 - Describe the characteristics of a photodiode and a...Ch. 1 - (a) Calculate the intrinsic carrier concentration...Ch. 1 - (a) The intrinsic carrier concentration in silicon...Ch. 1 - Calculate the intrinsic carrier concentration in...Ch. 1 - (a) Find the concentration of electrons and holes...Ch. 1 - Gallium arsenide is doped with acceptor impurity...Ch. 1 - Silicon is doped with 51016 arsenic atoms/cm3 ....Ch. 1 - (a) Calculate the concentration of electrons and...Ch. 1 - A silicon sample is fabricated such that the hole...Ch. 1 - The electron concentration in silicon at T=300K is...Ch. 1 - (a) A silicon semiconductor material is to be...Ch. 1 - (a) The applied electric field in ptype silicon is...Ch. 1 - A drift current density of 120A/cm2 is established...Ch. 1 - An ntype silicon material has a resistivity of...Ch. 1 - (a) The applied conductivity of a silicon material...Ch. 1 - In GaAs, the mobilities are n=8500cm2/Vs and...Ch. 1 - The electron and hole concentrations in a sample...Ch. 1 - The hole concentration in silicon is given by...Ch. 1 - GaAs is doped to Na=1017cm3 . (a) Calculate no and...Ch. 1 - (a) Determine the builtin potential barrier Vbi in...Ch. 1 - Consider a silicon pn junction. The nregion is...Ch. 1 - The donor concentration in the nregion of a...Ch. 1 - Consider a uniformly doped GaAs pn junction with...Ch. 1 - The zerobiased junction capacitance of a silicon...Ch. 1 - The zerobias capacitance of a silicon pn junction...Ch. 1 - The doping concentrations in a silicon pn junction...Ch. 1 - (a) At what reversebias voltage does the...Ch. 1 - (a) The reversesaturation current of a pn junction...Ch. 1 - (a) The reversesaturation current of a pn junction...Ch. 1 - A silicon pn junction diode has an emission...Ch. 1 - Plot log10ID versus VD over the range 0.1VD0.7V...Ch. 1 - (a) Consider a silicon pn junction diode operating...Ch. 1 - A pn junction diode has IS=2nA . (a) Determine the...Ch. 1 - The reversebias saturation current for a set of...Ch. 1 - A germanium pn junction has a diode current of...Ch. 1 - (a)The reversesaturation current of a gallium...Ch. 1 - The reversesaturation current of a silicon pn...Ch. 1 - A silicon pn junction diode has an applied...Ch. 1 - A pn junction diode is in series with a 1M...Ch. 1 - Consider the diode circuit shown in Figure P1.39....Ch. 1 - The diode in the circuit shown in Figure P1.40 has...Ch. 1 - Prob. 1.41PCh. 1 - (a) The reversesaturation current of each diode in...Ch. 1 - (a) Consider the circuit shown in Figure P1.40....Ch. 1 - Consider the circuit shown in Figure P1.44....Ch. 1 - The cutin voltage of the diode shown in the...Ch. 1 - Find I and VO in each circuit shown in Figure...Ch. 1 - Repeat Problem 1.47 if the reversesaturation...Ch. 1 - (a) In the circuit Shown in Figure P1.49, find the...Ch. 1 - Assume each diode in the circuit shown in Figure...Ch. 1 - (a) Consider a pn junction diode biased at IDQ=1mA...Ch. 1 - Determine the smallsignal diffusion resistancefor...Ch. 1 - The diode in the circuit shown in Figure P1.53 is...Ch. 1 - The forwardbias currents in a pn junction diode...Ch. 1 - A pn junction diode and a Schottky diode have...Ch. 1 - The reversesaturation currents of a Schottky diode...Ch. 1 - Consider the Zener diode circuit shown in Figure...Ch. 1 - (a) The Zener diode in Figure P1.57 is ideal with...Ch. 1 - Consider the Zener diode circuit shown in Figure...Ch. 1 - The Output current of a pn junction diode used as...Ch. 1 - Using the currentvoltage characteristics of the...Ch. 1 - (a) Using the currentvoltage characteristics of...Ch. 1 - Use a computer simulation to generate the ideal...Ch. 1 - Use a computer simulation to find the diode...Ch. 1 - Design a diode circuit to produce the load line...Ch. 1 - Design a circuit to produce the characteristics...Ch. 1 - Design a circuit to produce the characteristics...Ch. 1 - Design a circuit to produce the characteristics...
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