Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Textbook Question
Chapter 14, Problem 24P
At what frequency will the reactance of a 1
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Solve this. find the initial conditions ic(0-) and vc(0-) the switch opens at t=0 so it's closed at t=0- dont copy the response from previous because it's wrong. please solve in great detail explaining everything step by step. now the way i thought about it is Getting millman voltage (1/3)-2 / (1/3)+(1/2) and it's the same as Vc as both are nodal voltages but i wasn't sure if correct. because i didnt take into consideration all voltages (Vc here) even though it's the same so i'm quite confused. please explain to me if i'm correct and if not tell me why and where my thinking was flawed. thank you
3. Consider the RL circuit with a constant voltage source shown in the diagram below. The
values of the resistor, inductor, and input voltage are R = 100, L = 100 mH, and Vo = 12V,
respectively.
Vo
-
Ti(t)
R
w
When the switch closes at time t = 0, the current begins to flow as a function of time. It
follows from Kirchoff's voltage law that the current is described by the differential equation
di(t)
L
dt
+ Ri(t) = Vo⋅
Chapter 14 Solutions
Introductory Circuit Analysis (13th Edition)
Ch. 14 - Plot the following waveform versus time showing...Ch. 14 - Repeat Problem 1 for the following sinusoidal...Ch. 14 - What is the derivative of each of the following...Ch. 14 - The voltage across a 20 resistor is as indicated....Ch. 14 - The current through a 6.8 k ) resistor is as...Ch. 14 - Determine the inductive reactance (in ohms) of a 2...Ch. 14 - Determine the closest standard value inductance...Ch. 14 - Determine the frequency at which a 47 mH...Ch. 14 - The current through a 20 inductive reactance is...Ch. 14 - The current through a 0.1 H coil is given. What is...
Ch. 14 - The voltage across a 40 inductive reactance is...Ch. 14 - The voltage across a 0.2 H coil is given. What is...Ch. 14 - Determine the capacitive reactance (in ohms) of a...Ch. 14 - Determine the closest standard value capacitance...Ch. 14 - Determine the frequency at which a 3.9 F capacitor...Ch. 14 - The voltage across a 2.5 capacitive reactance is...Ch. 14 - The voltage across a 1 F capacitor is given. What...Ch. 14 - The current through a 2 k capacitive reactance is...Ch. 14 - The current through a 0.56 F capacitor is given....Ch. 14 - For the following pairs of voltages and currents,...Ch. 14 - Repeat Problem 20 for the following pairs of...Ch. 14 - Plot XL versus frequency for a 3 mH coil using a...Ch. 14 - Plot XC versus frequency for a 1 F capacitor using...Ch. 14 - At what frequency will the reactance of a 1 F...Ch. 14 - The reactance of a coil equals the resistance of a...Ch. 14 - Determine the frequency at which a 1 F capacitor...Ch. 14 - Determine the capacitance required to establish a...Ch. 14 - Find the average power loss and power factor for...Ch. 14 - If the current through and voltage across an...Ch. 14 - A circuit dissipates 100 W (average power) at 150...Ch. 14 - The power factor of a circuit is 0.5 lagging. The...Ch. 14 - In Fig.14.77, e=120sin(260t+20). a. What is the...Ch. 14 - In Fig. 14.78, e=220sin(1000t+60). a. Find the...Ch. 14 - In Fig. 14.79, i=30103sin(2500t20). a. Find the...Ch. 14 - For the network in Fig. 14.80 and the applied...Ch. 14 - For the network in Fig. 14.81 and the applied...Ch. 14 - Convert the following from rectangular to polar...Ch. 14 - Convert the following from rectangular to polar...Ch. 14 - Convert the following from polar to rectangular...Ch. 14 - Convert the following from polar to rectangular...Ch. 14 - Perform the following additions in rectangular...Ch. 14 - Perform the following subtractions in rectangular...Ch. 14 - Perform the following operations with polar...Ch. 14 - Perform the following multiplications in...Ch. 14 - Perform the following multiplications in polar...Ch. 14 - Perform the following divisions in polar form:...Ch. 14 - Perform the following divisions, and leave the...Ch. 14 - Perform the following operations, and express your...Ch. 14 - Prob. 49PCh. 14 - Determine a solution for x and y if...Ch. 14 - Determine a solution for x and y if...Ch. 14 - Express the following in phasor from:...Ch. 14 - Express the following in phasor form:...Ch. 14 - Express the following phasor currents and voltages...Ch. 14 - For the system in Fig. 14.82, find the sinusoidal...Ch. 14 - For the system in Fig. 14.83 find the sinusoidal...Ch. 14 - Find the sinusoidal expression for the voltage Ua...Ch. 14 - Find the sinusoidal expression for the current i1...Ch. 14 - Plot icandUc versus time for the network in Fig....Ch. 14 - Plot the magnitude and phase angle of the current...Ch. 14 - Plot the total impedance of the configuration in...
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- 4. Consider the RL circuit with a sinusoid voltage source shown in the diagram below. The values of the resistor, inductor, input voltage amplitude and frequency are R = 5, L = 50mH, and Vo = 10 V, respectively. The input voltage frequency w is variable. Assume that the circuit has reached steady state. Voejwt + ↑i(t) R سيد The input voltage can be described using the complex sinusoid function V(t) = Voejwt The current is given by a sinusoid with same the frequency was the input voltage, but a different magnitude and different phase. The physical voltage and current are obtained by taking the real part. In complex form, the current is given by i(t) Vo ejwt R1+jw/ The differential equation that describes the current follows from Kirchoff's voltage law, and is given by di(t) L + Ri(t) = Voejwt dtarrow_forward2. (4 marks) Use the real and imaginary parts of ĉejut, where ñ = a + jb = e³, to show that: c cos(wt) = acos(wt) – bsin(wt), csin(wt) = a sin(wt) + bcos(wt). Describe the relations between a, b, c, and o.arrow_forwardCompute the thevenin equivalent between the two terminals a-b zeq and veq show all your steps and explain clearly what you did.arrow_forward
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- conpute the thevenin equivalent between the terminals a and b Veq and Zeq note that the voltage source has 5e^j0 V the other values if not clear are -8j 8 20 and 5ohmsarrow_forward-calculate theoretical voltage and current values in Figure 1.3 and record them in Table 1.1. Calculate-all- voltage and current values as peak-to-peak. Table 1.1: Calculated Values of RC-Circuit ZTotale in (p-to-p)¤ VR-(p-to-p)¤ Vc-(p-to-p)¤ R(2) X-(2) mag (mA) angled mag (V) angled mag-(V) angle Freq. (Hz) X (N)- ρα ρα 500x 4000x ρα ρα ρα ρα ρα ρα ρα ραarrow_forwardQ1 .Determine the model of the following system using Mason's rulearrow_forward
- A three-phase delta-connected load, each phase of which has an inductive reactance of 40 Ω and a resistance of 25 Ω, is fed from the secondary of a three-phase star-connected transformer which has a phase voltage of 230 V. Draw the circuit diagram of the system and calculate: (a) the current in each phase of the load; (b) the p.d. across each phase of the load; (c) the current in the transformer secondary windings; (d) the total active power taken from the supply and its power factor. ANS= 8.8 A, 416 V, 15.25 A, 5810 Warrow_forward"I need something clear written by hand with steps." Find Laplace transform and the corresponding ROC for x(t) = e−3sin(2t) u(t)dtarrow_forwardThree similar coils, connected in star, take a total power of 1.5 kW, at a power factor of 0.2, from a three-phase, 400 V, 50 Hz supply. Calculate: (a) the resistance and inductance of each coil; (b) the line currents if one of the coils is short-circuited.arrow_forward
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