Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 6, Problem 1P
If the voltage across a 7.5-F capacitor is 2te−3t V, find the current and the power.
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PSD
A certain signal f(t) has the following PSD (assume 12 load):
| Sƒ(w) = π[e¯\w\ + 8(w − 2) + +8(w + 2)]
(a) What is the mean power in the bandwidth w≤ 1 rad/sec?
(b) What is the mean power in the bandwidth 0.99 to 1.01 rad/sec?
(c) What is the mean power in the bandwidth 1.99 to 2.01 rad/sec?
(d) What is the total mean power in (t)?
Pav=
+
2T
SfLw) dw
- SALW)
Chapter 6 Solutions
Fundamentals of Electric Circuits
Ch. 6.2 - What is the voltage across a 4.5-F capacitor if...Ch. 6.2 - If a 10-F capacitor is connected to a voltage...Ch. 6.2 - The current through a 100-F capacitor is i(t) = 50...Ch. 6.2 - Figure 6.11 For Practice Prob. 6.4. An initially...Ch. 6.2 - Under dc conditions, find the energy stored in the...Ch. 6.3 - Find the equivalent capacitance seen at the...Ch. 6.3 - Find the voltage across each of the capacitors in...Ch. 6.4 - If the current through a 1-mH inductor is i(t) =...Ch. 6.4 - The terminal voltage of a 2-H inductor is v = 10(1...Ch. 6.4 - Determine vC, iL, and the energy stored in the...
Ch. 6.5 - Calculate the equivalent inductance for the...Ch. 6.5 - In the circuit of Fig. 6.34, i1(t) = 3e2t A. If...Ch. 6.6 - The integrator in Fig. 6.35(b) has R = 100 k, C =...Ch. 6.6 - The differentiator in Fig. 6.37 has R = 100 k and...Ch. 6.6 - Design an analog computer circuit to solve the...Ch. 6 - What charge is on a 5-F capacitor when it is...Ch. 6 - Capacitance is measured in: (a)coulombs (b)joules...Ch. 6 - When the total charge in a capacitor is doubled,...Ch. 6 - Can the voltage waveform in Fig. 6.42 be...Ch. 6 - The total capacitance of two 40-mF...Ch. 6 - In Fig. 6.43, if i = cos 4t and v = sin 4t, the...Ch. 6 - A 5-H inductor changes its current by 3 A in 0.2...Ch. 6 - If the current through a 10-mH inductor increases...Ch. 6 - Inductors in parallel can be combined just like...Ch. 6 - Prob. 10RQCh. 6 - If the voltage across a 7.5-F capacitor is 2te3t...Ch. 6 - A 50-F capacitor has energy w(t) = 10 cos2 377t J....Ch. 6 - Design a problem to help other students better...Ch. 6 - A voltage across a capacitor is equal to [2 2...Ch. 6 - The voltage across a 4-F capacitor is shown in...Ch. 6 - The voltage waveform in Fig. 6.46 is applied...Ch. 6 - At t = 0, the voltage across a 25-mF capacitor is...Ch. 6 - A 4-mF capacitor has the terminal voltage v=...Ch. 6 - The current through a 0.5-F capacitor is 6(1 et)...Ch. 6 - The voltage across a 5-mF capacitor is shown in...Ch. 6 - A 4-mF capacitor has the current waveform shown in...Ch. 6 - A voltage of 45e2000t V appears across a parallel...Ch. 6 - Find the voltage across the capacitors in the...Ch. 6 - Series-connected 20- and 60-pF capacitors are...Ch. 6 - Two capacitors (25 and 75 F) are connected to a...Ch. 6 - The equivalent capacitance at terminals a-b in the...Ch. 6 - Determine the equivalent capacitance for each of...Ch. 6 - Find Ceq in the circuit of Fig. 6.52 if all...Ch. 6 - Find the equivalent capacitance between terminals...Ch. 6 - Find the equivalent capacitance at terminals a-b...Ch. 6 - Determine the equivalent capacitance at terminals...Ch. 6 - Obtain the equivalent capacitance of the circuit...Ch. 6 - Using Fig. 6.57, design a problem that will help...Ch. 6 - In the circuit shown in Fig. 6.58 assume that the...Ch. 6 - (a)Show that the voltage-division rule for two...Ch. 6 - Three capacitors, C1 = 5 F, C2 = 10 F, and C3 = 20...Ch. 6 - Given that four 10-F capacitors can be connected...Ch. 6 - Obtain the equivalent capacitance of the network...Ch. 6 - Determine Ceq for each circuit in Fig. 6.61....Ch. 6 - Assuming that the capacitors are initially...Ch. 6 - If v(0) = 0, find v(t), i1(t), and i2(t) in the...Ch. 6 - In the circuit in Fig. 6.64, let is = 4.5e2t mA...Ch. 6 - Obtain the Thevenin equivalent at the terminals,...Ch. 6 - The current through a 25-mH inductor is 10et/2 A....Ch. 6 - An inductor has a linear change in current from...Ch. 6 - Design a problem to help other students better...Ch. 6 - The current through a 12-mH inductor is 4 sin 100t...Ch. 6 - The current through a 40-mH inductor is i(t)= 0,...Ch. 6 - The voltage across a 50-mH inductor is given by...Ch. 6 - The current through a 5-mH inductor is shown in...Ch. 6 - The voltage across a 2-H inductor is 20(1 e2t) V....Ch. 6 - If the voltage waveform in Fig. 6.67 is applied...Ch. 6 - The current in a 150-mH inductor increases from 0...Ch. 6 - A 100-mH inductor is connected in parallel with a...Ch. 6 - If the voltage waveform in Fig. 6.68 is applied to...Ch. 6 - Find vC, iL, and the energy stored in the...Ch. 6 - For the circuit in Fig. 6.70, calculate the value...Ch. 6 - Under steady-state dc conditions, find i and v in...Ch. 6 - Find the equivalent inductance of the circuit in...Ch. 6 - An energy-storage network consists of...Ch. 6 - Determine Leq at terminals a-b of the circuit in...Ch. 6 - Using Fig. 6.74, design a problem to help other...Ch. 6 - Find Leq at the terminals of the circuit in Fig....Ch. 6 - Find the equivalent inductance looking into the...Ch. 6 - Find Leq in each of the circuits in Fig. 6.77....Ch. 6 - Find Leq in the circuit of Fig. 6.78. Figure 6.78...Ch. 6 - Determine Leq that may be used to represent the...Ch. 6 - The current waveform in Fig. 6.80 flows through a...Ch. 6 - (a) For two inductors in series as in Fig....Ch. 6 - In the circuit of Fig. 6.82, io(0) = 2 A....Ch. 6 - Consider the circuit in Fig. 6.83. Find: (a) Leq,...Ch. 6 - Consider the circuit in Fig. 6.84. Given that v(t)...Ch. 6 - In the circuit of Fig. 6.85, sketch vo. Figure...Ch. 6 - The switch in Fig. 6.86 has been in position A for...Ch. 6 - The inductors in Fig. 6.87 are initially charged...Ch. 6 - The current i(t) through a 20-mH inductor is...Ch. 6 - An op amp integrator has R = 50 k and C = 0.04 F....Ch. 6 - A 6-V dc voltage is applied to an integrator with...Ch. 6 - An op amp integrator with R = 4 M and C = 1 F has...Ch. 6 - Using a single op amp, a capacitor, and resistors...Ch. 6 - Show how you would use a single op amp to generate...Ch. 6 - At t = 1.5 ms, calculate vo due to the cascaded...Ch. 6 - Show that the circuit in Fig. 6.90 is a...Ch. 6 - The triangular waveform in Fig. 6.91(a) is applied...Ch. 6 - An op amp differentiator has R = 250 k and C = 10...Ch. 6 - A voltage waveform has the following...Ch. 6 - The output vo of the op amp circuit in Fig....Ch. 6 - Prob. 78PCh. 6 - Figure 6.93 presents an analog computer designed...Ch. 6 - Design an analog computer to simulate the...Ch. 6 - Design an op amp circuit such that vo=10vs+2vsdt...Ch. 6 - Your laboratory has available a large number of...Ch. 6 - An 8-mH inductor is used in a fusion power...Ch. 6 - A square-wave generator produces the voltage...Ch. 6 - An electric motor can be modeled as a series...
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- An AM modulation waveform signal:- p(t)=(8+4 cos 1000πt + 4 cos 2000πt) cos 10000nt (a) Sketch the amplitude spectrum of p(t). (b) Find total power, sideband power and power efficiency. (c) Find the average power containing of each sideband.arrow_forwardCan you rewrite the solution because it is unclear? AM (+) = 8(1+ 0.5 cos 1000kt +0.5 ros 2000ks) = cos 10000 πt. 8 cos wat + 4 cos wit + 4 cos Wat coswet. -Jet jooort J11000 t = 4 e jqooort jgoort +4e + e +e j 12000rt. 12000 kt + e +e jooxt igoo t te (w) = 8ES(W- 100007) + 8IS (W-10000) USBarrow_forwardCan you rewrite the solution because it is unclear? AM (+) = 8(1+0.5 cos 1000kt +0.5 ros 2000 thts) = cos 10000 πt. 8 cos wat + 4 cos wit + 4 cos Wat coswet. J4000 t j11000rt $14+) = 45 jqooort +4e + e + e j 12000rt. 12000 kt + e +e +e Le jsoort -; goon t te +e Dcw> = 885(W- 100007) + 8 IS (W-10000) - USBarrow_forward
- Can you rewrite the solution because it is unclear? Q2 AM ①(+) = 8 (1+0.5 cos 1000πt +0.5 ros 2000kt) $4+) = 45 = *cos 10000 πt. 8 cos wat + 4 cosat + 4 cos Wat coswet. j1000016 +4e -j10000πt j11000Rt j gooort -j 9000 πt + e +e j sooort te +e J11000 t + e te j 12000rt. -J12000 kt + с = 8th S(W- 100007) + 8 IS (W-10000) <&(w) = USB -5-5 -4-5-4 b) Pc 2² = 64 PSB = 42 + 4 2 Pt Pc+ PSB = y = Pe c) Puss = PLSB = = 32 4² = 8 w 32+ 8 = × 100% = 140 (1)³×2×2 31 = 20% x 2 = 3w 302 USB 4.5 5 5.6 6 ms Ac = 4 mi = 0.5 mz Ac = 4 ५ M2 = =0.5arrow_forwardA. Draw the waveform for the following binary sequence using Bipolar RZ, Bipolar NRZ, and Manchester code. Data sequence= (00110100) B. In a binary PCM system, the output signal-to-quantization ratio is to be hold to a minimum of 50 dB. If the message is a single tone with fm-5 kHz. Determine: 1) The number of required levels, and the corresponding output signal-to-quantizing noise ratio. 2) Minimum required system bandwidth.arrow_forwardFind Io using Mesh analysisarrow_forward
- FM station of 100 MHz carrier frequency modulated by a 20 kHz sinusoid with an amplitude of 10 volt, so that the peak frequency deviation is 25 kHz determine: 1) The BW of the FM signal. 2) The approximated BW if the modulating signal amplitude is increased to 50 volt. 3) The approximated BW if the modulating signal frequency is increased by 70%. 4) The amplitude of the modulating signal if the BW is 65 kHz.arrow_forwardAn FDM is used to multiplex two groups of signals using AM-SSB, the first group contains 25 speech signals, each has maximum frequency of 4 kHz, the second group contains 15 music signals, each has maximum frequency of 10 kHz. A guard bandwidth of 500 Hz is used bety each two signals and before the first one. 1. Find the BWmultiplexing 2. Find the BWtransmission if the multiplexing signal is modulated using AM-DSB-LC.arrow_forwardAn FM signal with 75 kHz deviation, has an input signal-to-noise ratio of 18 dB, with a modulating frequency of 15 kHz. 1) Find SNRO at demodulator o/p. 2) Find SNRO at demodulator o/p if AM is used with m=0.3. 3) Compare the performance in case 1) and 2).. Hint: for single tone AM-DSB-LC, SNR₁ = (2m²) (4)arrow_forward
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