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physics
electricity and magnetism
Fundamentals Of Electric Circuits 3rd Edition Matthew Sadiku, Charles Alexander - Solutions
Find i(t) and v(t) in each of the circuits of Fig. 9.45.(a)(b)
For the circuit shown in Fig. 9.46, find Zeg and use that to find current I. Let ω = 10 rad/s.
(a) Express v = 8 cos(7t = 15o) in sine form. (b) Convert i = -10 sin(3t - 85o) to cosine form.
In the circuit of Fig. 9.47, find io when:(a) ω = 1 rad/s(b) ω = 5 rad/s(c) ω = 10 rad/s
Find v(t) in the RLC circuit of Fig. 9.48.
Calculate vo (t) in the circuit of Fig. 9.49.
Find current I o in the circuit shown in Fig. 9.50.
Calculate i(t) in the circuit of Fig. 9.51.
Find current I o in the network of Fig. 9.52.
If is = 5 cos(10t + 40o) A in the circuit of Fig. 9.53, find io.
In the circuit of Fig. 9.54, determine the value of i s (t).
Given that vs (t) = 20 sin(100t - 40o) in Fig. 9.55, determine ix (t).
Find vs (t) in the circuit of Fig. 9.56 if the current ix through the 1- Ω resistor is 0.5 sin 200t A.
Given v1 = 20 sin(ω t + 60o) and v2 = 60 cos(ω t - 10o) determine the phase angle between the two sinusoids and which one lags the other.
Determine vx in the circuit of Fig. 9.57. Let is (t) = 5 cos(100t + 40o)A.
If the voltage vo across the 2- Ω resistor in the circuit of Fig. 9.58 is 10 cos2t V, obtain is.
If Vo = 8 ˆ 30o V in the circuit of Fig. 9.59, find Is.
Find Io in the circuit of Fig. 9.60.
In the circuit of Fig. 9.61, find Vs if Io = 2 ˆ 0o A.
* Find Z in the network of Fig. 9.62, given that Vo = 4 ˆ 0o V.
At ω = 377 rad/s, find the input impedance of the circuit shown in Fig. 9.63.
At ω = 1 rad/s, obtain the input admittance in the circuit of Fig. 9.64.
Find the equivalent impedance in Fig. 9.65 at ω = 10 krad/s.
For the network in Fig. 9.66, find Zin. Let ω = 10 rad/s.
For the following pairs of sinusoids, determine which one leads and by how much. (a) v(t) = 10 cos(4t - 60o) and i(t) = 4 sin (4t + 50o) (b) v1 (t) = 4 cos(377t + 10o) and v2 (t) = -20 cos 377t (c) x(t) = 13 cos 2t + 5 sin 2t and y(t) = 15 cos(2t -11.8o)
Find Zeq in the circuit of Fig. 9.68.
For the circuit in Fig. 9.69, find the input impedance Zin at 10 krad/s.
For the circuit in Fig. 9.70, find the value of ZT‹….
Find ZT and I in the circuit of Fig. 9.71.
Determine ZT and I for the circuit in Fig. 9.72.
For the circuit in Fig. 9.73, calculate ZT and Vab‹….
At ω = 103 rad/s find the input admittance of each of the circuits in Fig. 9.74.(a)(b)
Determine Yeq for the circuit in Fig. 9.75.
Find the equivalent admittance Yeq of the circuit in Fig. 9.76.
If f(φ) = cosφ + j sinφ , show that f(φ) = ejφ.
Find the equivalent impedance of the circuit in Fig. 9.77.
Obtain the equivalent impedance of the circuit in Fig. 9.78.
Calculate the value of Zab in the network of Fig. 9.79.
Determine the equivalent impedance of the circuit in Fig. 9.80.
Design an RL circuit to provide a 90o leading phase shift.
Design a circuit that will transform a sinusoidal voltage input to a cosinusoidal voltage output.
For the following pairs of signals, determine if v1 leads or lags v 2 and by how much. (a) v1 = 10 cos(5t - 20o), v2 = 8 sin5t (b) v1 = 19 cos(2t - 90o), v2 = 6 sin2t (c) v1 = - 4 cos10t , v2 = 15 sin10t
Refer to the RC circuit in Fig. 9.81.(a) Calculate the phase shift at 2 MHz.(b) Find the frequency where the phase shift is 45o.
A coil with impedance 8 + j6 Ω is connected in series with a capacitive reactance X. The series combination is connected in parallel with a resistor R. Given that the equivalent impedance of the resulting circuit is 5 ∠0o Ω find the value of R and X.
(a) Calculate the phase shift of the circuit in Fig. 9.82.(b) State whether the phase shift is leading or lagging (output with respect to input).(c) Determine the magnitude of the output when the input is 120 V.
Calculate these complex numbers and express your results in rectangular form:(a)(b)(c) 10 + (8 ˆ 50o) (5 - j12)
Consider the phase-shifting circuit in Fig. 9.83. Let Vi = 120 V operating at 60 Hz. Find:(a) Vo when R is maximum(b) Vo when R is minimum(c) The value of R that will produce a phase shift of 45 o
The ac bridge in Fig. 9.37 is balanced when R1 = 400 Ω, R2 = 600 Ω, R3 = 1.2k Ω, and C2 = 0.3μF. Find Rx and Cx. Assume R2 and C2 are in series.
The ac bridge shown in Fig. 9.84 is known as a Maxwell bridge and is used for accurate measurement of inductance and resistance of a coil in terms of a standard capacitance Cs‹… Show that when the bridge is balanced,Lx = R2R3s and Rx = R2 / R1 R3Find Lx and Rx for R1 = 40k Ω,
The ac bridge circuit of Fig. 9.85 is called a Wien bridge. It is used for measuring the frequency of a source. Show that when the bridge is balanced,
The circuit shown in Fig. 9.86 is used in a television receiver. What is the total impedance of this circuit?
The network in Fig. 9.87 is part of the schematic describing an industrial electronic sensing device. What is the total impedance of the circuit at 2 kHz?
A series audio circuit is shown in Fig. 9.88.(a) What is the impedance of the circuit?(b) If the frequency were halved, what would be the impedance of the circuit?
An industrial load is modeled as a series combination of a capacitance and a resistance as shown in Fig. 9.89. Calculate the value of an inductance L across the series combination so that the net impedance is resistive at a frequency of 50 kHz.
Evaluate the following complex numbers and leave your results in polar form:(a)(b)
An industrial coil is modeled as a series combination of an inductance L and resistance R, as shown in Fig. 9.90. Since an ac voltmeter measures only the magnitude of a sinusoid, the following measurements are taken at 60 Hz when the circuit operates in the steady state:|Vs| = 145 V, |V1| = 50 V,
Figure 9.91 shows a parallel combination of an inductance and a resistance. If it is desired to connect a capacitor in series with the parallel combination such that the net impedance is resistive at 10 MHz, what is the required value of C?
A transmission line has a series impedance of Z = 100 ∠ 75o Ω and a shunt admittance of Y = 450∠48 o μS.Find: (a) The characteristic impedance Zo = √Z/Y (b) The propagation constant γ = √ZY.
A power transmission system is modeled as shown in Fig. 9.92. Given the following;Source voltage ............................... Vs = 115 ˆ 0o V,Source impedance ........................... Zs = 1 + j0.5 Ω,Line impedance .............................. Zl = 0.4 + j0.3
Find I1, I2, I3, and I x in the circuit of Fig. 10.84
Determine 1i in the circuit of Fig. 10.53.
Find io in the circuit shown in Fig. 10.85 using superposition.
Find vo for the circuit in Fig. 10.86, assuming that vs = 6 cos 2 + 4 sin 4 V.
Solve for Io in the circuit of Fig. 10.87.
Using the superposition principle, find ix in the circuit of Fig. 10.88
Use the superposition principle to obtain vx in the circuit of Fig. 10.89. Let vs = 50sin 2t V and is = 12cos(6t +10°) s A.
Use superposition to find i(t) in the circuit of Fig. 10.90.
Solve for v (t) in the circuit of Fig. 10.91 using the superposition principle.
Determine io in the circuit of Fig. 10.92, using the superposition principle.
Find io in the circuit of Fig. 10.93 using superposition.
Using source transformation, find i in the circuit of Fig. 10.94.
Find io in the circuit of Fig. 10.54
Use source transformation to find vo in the circuit of Fig. 10.95.
Use source transformation to find Io in the circuit of Prob. 10.42.In Problem 10.42
Use the method of source transformation to find Ix in the circuit of Fig. 10.96.
Use the concept of source transformation to find Vo in the circuit of Fig. 10.97.
Rework Prob. 10.7 using source transformation.In Problem 10.7
Find the Thevenin and Norton equivalent circuits at terminals a-b for each of the circuits in Fig. 10.98.
For each of the circuits in Fig. 10.99, obtain Thevenin and Norton equivalent circuits at terminals a-b.
Find the Thevenin and Norton equivalent circuits for the circuit shown in Fig. 10.100.
For the circuit depicted in Fig. 10.101, find the Thevenin equivalent circuit at terminals a-b.
Calculate the output impedance of the circuit shown in Fig. 10.102.
Determine Vx in Fig. 10.55.
Find the Thevenin equivalent of the circuit in Fig. 10.103 as seen from:(a) Terminals a-b(b) Terminals c-d
Find the Thevenin equivalent at terminals a-b of the circuit in Fig. 10.104.
Using Thevenin's theorem, find o v in the circuit of Fig. 10.105.
Obtain the Norton equivalent of the circuit depicted in Fig. 10.106 at terminals a-b.
For the circuit shown in Fig. 10.107, find the Norton equivalent circuit at terminals a-b.
Compute io in Fig. 10.108 using Norton's theorem.
At terminals a-b, obtain Thevenin and Norton equivalent circuits for the network depicted in Fig. 10.109. Take ω = 10 rad/s.
Find the Thevenin and Norton equivalent circuits at terminals a-b in the circuit of Fig. 10.110.
Find the Thevenin equivalent at terminals a-b in the circuit of Fig. 10.111.
For the differentiator shown in Fig. 10.112, obtain Vo / Vs . Find vo (t) when vs (t) = Vm sin ωt and ω = 1/RC.
Use nodal analysis to find V in the circuit of Fig. 10.56.
The circuit in Fig. 10.113 is an integrator with a feedback resistor. Calculate vo(t) if vs = 2 cos4 × 104t V.
Find vo in the op amp circuit of Fig. 10.114.
Compute io (t) in the op amp circuit in Fig. vs = 4cos104tV.
If the input impedance is defined as Zin =Vs / Is find the input impedance of the op amp circuit in Fig. 10.116 when R1 = 10 kΩ, R2 = 20 kΩ, C1 = 10 nF, and ω = 5000 rad/s.
Evaluate the voltage gain Av = Vo / Vs in the op amp circuit of Fig. 10.117. Find Av at 1 1 ω = 0, ω †’ ˆž, ω = 1/ R1 C1, and 2 2 ω = 1/ R2 C2.
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