Fundamentals of Materials Science and Engineering, Binder Ready Version: An Integrated Approach
5th Edition
ISBN: 9781119175483
Author: William D. Callister Jr., David G. Rethwisch
Publisher: WILEY
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Question
Chapter 17.5, Problem 12QP
To determine
The values of
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Students have asked these similar questions
50mV and 10kHz from the function generator to the input. The mulitmeter postive is connected to the output and negative to a ground. Is the circuit connected correctly? Yes or No. Does the reading look correct? I don't need calculations but will take them. I just need to know if the connection is right.
Connect a signal generator to the input and set it for 50 mV Sine wave with a frequency of 10 kHz. Connect the output to a multimeter set to RMS voltage. Record the output voltage and frequency in the following table. Repeat the measurement for all given frequency values in the table.
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
Chapter 17 Solutions
Fundamentals of Materials Science and Engineering, Binder Ready Version: An Integrated Approach
Ch. 17.5 - Prob. 1QPCh. 17.5 - Prob. 2QPCh. 17.5 - Prob. 3QPCh. 17.5 - Prob. 4QPCh. 17.5 - Prob. 5QPCh. 17.5 - Prob. 6QPCh. 17.5 - Prob. 7QPCh. 17.5 - Prob. 8QPCh. 17.5 - Prob. 9QPCh. 17.5 - Prob. 10QP
Ch. 17.5 - Prob. 11QPCh. 17.5 - Prob. 12QPCh. 17.5 - Prob. 13QPCh. 17.5 - Prob. 14QPCh. 17.5 - Prob. 15QPCh. 17.5 - Prob. 16QPCh. 17.5 - Prob. 17QPCh. 17.5 - Prob. 18QPCh. 17.5 - Prob. 19QPCh. 17.5 - Prob. 20QPCh. 17.5 - Prob. 21QPCh. 17.5 - Prob. 22QPCh. 17.5 - Prob. 23QPCh. 17.5 - Prob. 24QPCh. 17.5 - Prob. 25QPCh. 17.5 - Prob. 26QPCh. 17.5 - Prob. 27QPCh. 17.5 - Prob. 28QPCh. 17.5 - Prob. 29QPCh. 17.5 - Prob. 1DPCh. 17.5 - Prob. 2DPCh. 17.5 - Prob. 3DPCh. 17.5 - Prob. 4DPCh. 17.5 - Prob. 1FEQPCh. 17.5 - Prob. 2FEQPCh. 17.5 - Prob. 3FEQP
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