Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 8, Problem 4RQ
If the roots of the characteristic equation of an RLC circuit are −2 and −3, the response is:
(a) (A cos 2t + B sin 2t)e−3t
(b) (A + 2Bt)e−3t
(c) Ae−2t + Bte−3t
(d) Ae−2t + Be−3t
where A and B are constants.
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Shown in the figure below is an "RLC" circuit driven by an AC power source. The AC power source has an RMS voltage of Vps(RMS) = 11.80 Volts and is running at a frequency of f = 147000 Hz. The resistor has a resistance of R = 3910 Ω, the capacitor has a capacitance of C = 4.01e-10 Farads, and the inductor has an inductance of L = 5.97e-03 Henries.Write the FORMULA for the total impedance of the circuit Ztot =
Write the FORMULA for the phase of the total impedance of the circuit ?Ztot =
Determine the numerical value of Ztot = ΩDetermine the numerical value of ?Ztot = degreesDetermine the current through the circuit:
I(PEAK) = Amps
I(RMS) = Amps
Determine the voltage across the inductor:
VL(PEAK) = Volts
VL(RMS) = Volts
Determine the voltage across the capacitor:
VC(PEAK) = Volts
VC(RMS) = Volts
If a second circuit were connected in parallel with the resistor, this circuit would be considered as:
a high-pass filtera flux capacitor a radio tunera phase…
An RC circuit with a l-Q resistor and a 0.000001-F capacitor is driven by a voltage sin 100t V. If
the initial capacitor voltage is zero, determine the current at any time t. (Show the complete
solution)
10,000 cos100t +sin 100t -10,000e-1000,00ot
Answer: I
100,000,001
An L-R-C series circuit has L = 0.800 H,
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Part C
How much time does it take for each complete current oscillation after the switch in this circuit is closed?
Express your answer with the appropriate units.
t = 13.9 ms
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Part D
What is the charge on the capacitor after the first complete current oscillation?
Express your answer with the appropriate units.
μA
?
q=
1.34 107
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C
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Chapter 8 Solutions
Fundamentals of Electric Circuits
Ch. 8.2 - The switch in Fig. 8.4 was open for a long time...Ch. 8.2 - For the circuit in Fig. 8.7, find: (a) iL(0+),...Ch. 8.3 - If R = 10 , L = 5 H, and C = 2 mF in Fig. 8.8,...Ch. 8.3 - The circuit in Fig. 8.12 has reached steady state...Ch. 8.4 - In Fig. 8.13, let R = 2 , L = 0.4 H, C = 25 mF,...Ch. 8.4 - Refer to the circuit in Fig. 8.17. Find v(t) for t...Ch. 8.5 - Having been in position a for a long time, the...Ch. 8.6 - Find i(t) and v(t) for t 0 in the circuit of Fig....Ch. 8.7 - Determine v and i for t 0 in the circuit of Fig....Ch. 8.7 - For t 0, obtain v0(t) in the circuit of Fig....
Ch. 8.8 - In the op amp circuit shown in Fig. 8.34, vs =...Ch. 8.9 - Find i(t) using PSpice for 0 t 4 s if the pulse...Ch. 8.9 - Refer to the circuit in Fig. 8.21 (see Practice...Ch. 8.10 - Draw the dual circuit of the one in Fig. 8.46.Ch. 8.10 - For the circuit in Fig. 8.50, obtain the dual...Ch. 8.11 - In Fig. 8.52, find the capacitor voltage vC for t ...Ch. 8.11 - The output of a D/A converter is shown in Fig....Ch. 8 - For the circuit in Fig. 8.58, the capacitor...Ch. 8 - For Review Questions 8.1 and 8.2. 8.2For the...Ch. 8 - When a step input is applied to a second-order...Ch. 8 - If the roots of the characteristic equation of an...Ch. 8 - In a series RLC circuit, setting R = 0 will...Ch. 8 - Prob. 6RQCh. 8 - Refer to the series RLC circuit in Fig. 8.59. What...Ch. 8 - Consider the parallel RLC circuit in Fig. 8.60....Ch. 8 - Match the circuits in Fig. 8.61 with the following...Ch. 8 - Prob. 10RQCh. 8 - For the circuit in Fig. 8.62, find: (a)i(0+) and...Ch. 8 - Using Fig. 8.63, design a problem to help other...Ch. 8 - Refer to the circuit shown in Fig. 8.64....Ch. 8 - In the circuit of Fig. 8.65, find: (a) v(0+) and...Ch. 8 - Refer to the circuit in Fig. 8.66. Determine: (a)...Ch. 8 - In the circuit of Fig. 8.67, find: (a) vR(0+) and...Ch. 8 - A series RLC circuit has R = 20 k, L = 0.2 mH, and...Ch. 8 - Design a problem to help other students better...Ch. 8 - The current in an RLC circuit is described by...Ch. 8 - The differential equation that describes the...Ch. 8 - Prob. 11PCh. 8 - If R = 50 , L = 1.5 H, what value of C will make...Ch. 8 - For the circuit in Fig. 8.68, calculate the value...Ch. 8 - The switch in Fig. 8.69 moves from position A to...Ch. 8 - The responses of a series RLC circuit are...Ch. 8 - Find i(t) for t 0 in the circuit of Fig. 8.70....Ch. 8 - In the circuit of Fig. 8.71, the switch...Ch. 8 - Find the voltage across the capacitor as a...Ch. 8 - Obtain v(t) for t 0 in the circuit of Fig. 8.73....Ch. 8 - The switch in the circuit of Fig. 8.74 has been...Ch. 8 - Calculate v(t) for t 0 in the circuit of Fig....Ch. 8 - Assuming R = 2 k, design a parallel RLC circuit...Ch. 8 - For the network in Fig. 8.76, what value of C is...Ch. 8 - The switch in Fig. 8.77 moves from position A to...Ch. 8 - Using Fig. 8.78, design a problem to help other...Ch. 8 - The step response of an RLC circuit is given by...Ch. 8 - Prob. 27PCh. 8 - A series RLC circuit is described by...Ch. 8 - Solve the following differential equations subject...Ch. 8 - Prob. 30PCh. 8 - Consider the circuit in Fig. 8.79. Find vL(0+) and...Ch. 8 - For the circuit in Fig. 8.80, find v(t) for t 0.Ch. 8 - Find v(t) for t 0 in the circuit of Fig. 8.81.Ch. 8 - Calculate i(t) for t 0 in the circuit of Fig....Ch. 8 - Using Fig. 8.83, design a problem to help other...Ch. 8 - Obtain v(t) and i(t) for t 0 in the circuit of...Ch. 8 - For the network in Fig. 8.85, solve for i(t) for t...Ch. 8 - Refer to the circuit in Fig. 8.86. Calculate i(t)...Ch. 8 - Determine v(t) for t 0 in the circuit of Fig....Ch. 8 - The switch in the circuit of Fig. 8.88 is moved...Ch. 8 - For the network in Fig. 8.89, find i(t) for t 0....Ch. 8 - Given the network in Fig. 8.90, find v(t) for t ...Ch. 8 - The switch in Fig. 8.91 is opened at t = 0 after...Ch. 8 - A series RLC circuit has the following parameters:...Ch. 8 - In the circuit of Fig. 8.92, find v(t) and i(t)...Ch. 8 - Prob. 46PCh. 8 - Find the output voltage vo(t) in the circuit of...Ch. 8 - Given the circuit in Fig. 8.95, find i(t) and v(t)...Ch. 8 - Determine i(t) for t 0 in the circuit of Fig....Ch. 8 - For the circuit in Fig. 8.97, find i(t) for t 0....Ch. 8 - Find v(t) for t 0 in the circuit of Fig. 8.98....Ch. 8 - The step response of a parallel RLC circuit is...Ch. 8 - After being open for a day, the switch in the...Ch. 8 - Using Fig. 8.100, design a problem to help other...Ch. 8 - For the circuit in Fig. 8.101, find v(t) for t 0....Ch. 8 - In the circuit of Fig. 8.102, find i(t) for t 0....Ch. 8 - Given the circuit shown in Fig. 8.103, determine...Ch. 8 - In the circuit of Fig. 8.104, the switch has been...Ch. 8 - The switch in Fig. 8.105 has been in position 1...Ch. 8 - Obtain i1 and i2 for t 0 in the circuit of Fig....Ch. 8 - For the circuit in Prob. 8.5, find i and v for t ...Ch. 8 - Find the response vR(t) for t 0 in the circuit of...Ch. 8 - For the op amp circuit in Fig. 8.108, find the...Ch. 8 - Using Fig. 8.109, design a problem to help other...Ch. 8 - Determine the differential equation for the op amp...Ch. 8 - Obtain the differential equations for vo(t) in the...Ch. 8 - In the op amp circuit of Fig. 8.112, determine...Ch. 8 - For the step function vs = u(t), use PSpice or...Ch. 8 - Given the source-free circuit in Fig. 8.114, use...Ch. 8 - For the circuit in Fig. 8.115, use PSpice or...Ch. 8 - Obtain v(t) for 0 t 4 s in the circuit of Fig....Ch. 8 - The switch in Fig. 8.117 has been in position 1...Ch. 8 - Design a problem, to be solved using PSpice or...Ch. 8 - Draw the dual of the circuit shown in Fig. 8.118.Ch. 8 - Obtain the dual of the circuit in Fig. 8.119.Ch. 8 - Find the dual of the circuii in Fig. 8.120.Ch. 8 - Draw the dual of the circuit in Fig. 8.121.Ch. 8 - An automobile airbag igniter is modeled by the...Ch. 8 - A load is modeled as a 100-mH inductor in parallel...Ch. 8 - A mechanical system is modeled by a series RLC...Ch. 8 - An oscillogram can be adequately modeled by a...Ch. 8 - The circuit in Fig. 8.123 is the electrical analog...Ch. 8 - Figure 8.124 shows a typical tunnel-diode...
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