EBK ELECTRIC CIRCUITS
EBK ELECTRIC CIRCUITS
10th Edition
ISBN: 9780100801790
Author: Riedel
Publisher: YUZU
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Chapter 9, Problem 61P
To determine

Find the steady-state expression for vo(t).

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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 9 Solutions

EBK ELECTRIC CIRCUITS

Ch. 9.8 - Use the node-voltage method to find the...Ch. 9.9 - Use the mesh-current method to find the phasor...Ch. 9.10 - Prob. 14APCh. 9.11 - The source voltage in the phasor domain circuit in...Ch. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Consider the sinusoidal voltage What is the...Ch. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - The rms value of the sinusoidal voltage supplied...Ch. 9 - Find the rms value of the half-wave rectified...Ch. 9 - Prob. 8PCh. 9 - Prob. 9PCh. 9 - Verify that Eq. 9.7 is the solution of Eq. 9.6....Ch. 9 - Use the concept of the phasor to combine the...Ch. 9 - Prob. 12PCh. 9 - A 50 kHz sinusoidal voltage has zero phase angle...Ch. 9 - The expressions for the steady-state voltage and...Ch. 9 - A 25 Ω resistor, a 50 mH inductor, and a 32 μF...Ch. 9 - A 25 Ω resistor and a 10mH inductor are connected...Ch. 9 - Three branches having impedances of , and ,...Ch. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Show that at a given frequency ω, the circuits in...Ch. 9 - Show that at a given frequency ω, the circuits in...Ch. 9 - Find the impedance Zab in the circuit seen in Fig....Ch. 9 - Find the admittance Yab in the circuit seen in...Ch. 9 - For the circuit shown in Fig. P9.24, find the...Ch. 9 - Prob. 25PCh. 9 - Prob. 26PCh. 9 - Prob. 27PCh. 9 - Find the steady-state expression for io(t) in the...Ch. 9 - Prob. 29PCh. 9 - The circuit in Fig. P9.30 is operating in the...Ch. 9 - Prob. 31PCh. 9 - Find Ib and Z in the circuit shown in Fig. P9.35...Ch. 9 - Find the value of Z in the circuit seen in Fig....Ch. 9 - Prob. 34PCh. 9 - The circuit shown in Fig. P9.35 is operating in...Ch. 9 - The frequency of the sinusoidal voltage source in...Ch. 9 - The frequency of the source voltage in the circuit...Ch. 9 - The frequency of the sinusoidal voltage source in...Ch. 9 - Prob. 40PCh. 9 - The circuit shown in Fig. P9.40 is operating in...Ch. 9 - Find Zab for the circuit shown in Fig P9.42. Ch. 9 - The sinusoidal voltage source in the circuit in...Ch. 9 - Prob. 44PCh. 9 - Use source transformations to find the Thévenin...Ch. 9 - Find the Norton equivalent circuit with respect to...Ch. 9 - The device in Fig. P9.47 is represented in the...Ch. 9 - Find the Thévenin equivalent circuit with respect...Ch. 9 - Find the Norton equivalent circuit with respect to...Ch. 9 - The circuit shown in Fig. P9.53 is operating at a...Ch. 9 - Find Zab in the circuit shown in Fig. P9.52 when...Ch. 9 - Prob. 53PCh. 9 - Use the node-voltage method to find V0 in the...Ch. 9 - Use the node-voltage method to find the phasor...Ch. 9 - PSPICEMULTISIM Use the node-voltage method to find...Ch. 9 - PSPICEMULTISIM Use the node-voltage method to find...Ch. 9 - Use the node-voltage method to find the phasor...Ch. 9 - Prob. 59PCh. 9 - Prob. 60PCh. 9 - Use the mesh-current method to find the...Ch. 9 - Prob. 62PCh. 9 - Prob. 63PCh. 9 - Use the mesh-current method to find the...Ch. 9 - Prob. 65PCh. 9 - Use the concept of current division to find the...Ch. 9 - For the circuit in Fig. P9.67, suppose What...Ch. 9 - For the circuit in Fig. P9.68, suppose What...Ch. 9 - Prob. 69PCh. 9 - The 0.5 μF capacitor in the circuit seen in Fig....Ch. 9 - The op amp in the circuit in Fig. P9.69 is...Ch. 9 - Prob. 72PCh. 9 - Prob. 73PCh. 9 - Prob. 74PCh. 9 - Prob. 75PCh. 9 - Prob. 76PCh. 9 - The sinusoidal voltage source in the circuit seen...Ch. 9 - A series combination of a 60 Ω resistor and a 50...Ch. 9 - Prob. 79PCh. 9 - Prob. 80PCh. 9 - Prob. 81PCh. 9 - Prob. 82PCh. 9 - Prob. 84PCh. 9 - Prob. 85PCh. 9 - Prob. 87PCh. 9 - Prob. 88PCh. 9 - Prob. 89PCh. 9 - Prob. 90P
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