Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
9th Edition
ISBN: 9781259989452
Author: Hayt
Publisher: Mcgraw Hill Publishers
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Textbook Question
Chapter 10.4, Problem 6P
Let ω = 2000 rad/s and t = 1 ms. Find the instantaneous value of each of the currents given here in phasor form: (a) j10 A; (b) 20 + j10 A; (c)
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2. The instantaneous voltage and current equations of an ac circuit are v(t)= 200 sin377t V and
i(t)= 8 sin (377t-30°) A respectively. Determine the apparent power in complex form.
A. 296.8+j400
B. 962.8+j400
C. 692.8+j400
D.692.8+j200
When a sinusoidal periodic voltage source o v(t) = 150 cos(2n50t) [V] is
applied to a nonlinear load, the current of i(t)= 5 cos(2n50t) +
cos(2n100t) [A] flows through the load. Determine the power factor of the
load.
O 0.9285
007809
02578
0.08944
1.7
For each of the following RMS cosine referenced phasors write the corre-
sponding signal as a function of time. In each case what is the value of the signal at
T, where T, is the period of the sinusoid.
(а)
240Z-30°, f = 133 Hz
(b)
1 = 1500e(#/4)
period T, = 20 ms
(c)
=
= 6134 +j1644,ƒ = 50 Hz
Chapter 10 Solutions
Loose Leaf for Engineering Circuit Analysis Format: Loose-leaf
Ch. 10.1 - Find the angle by which i1 lags v1 if v1 = 120...Ch. 10.2 - Determine values for A, B, C, and if 40 cos(100t ...Ch. 10.2 - Let vs = 40 cos 8000t V in the circuit of Fig....Ch. 10.3 - Prob. 4PCh. 10.3 - If the use of the passive sign convention is...Ch. 10.4 - Let = 2000 rad/s and t = 1 ms. Find the...Ch. 10.4 - Transform each of the following functions of time...Ch. 10.4 - In the circuit of Fig. 10.17, both sources operate...Ch. 10.5 - With reference to the network shown in Fig. 10.19,...Ch. 10.5 - In the frequency-domain circuit of Fig. 10.21,...
Ch. 10.5 - Determine the admittance (in rectangular form) of...Ch. 10.6 - Use nodal analysis on the circuit of Fig. 10.23 to...Ch. 10.6 - Use mesh analysis on the circuit of Fig. 10.25 to...Ch. 10.7 - If superposition is used on the circuit of Fig....Ch. 10.7 - Prob. 15PCh. 10.7 - Determine the current i through the 4 resistor of...Ch. 10.8 - Select some convenient reference value for IC in...Ch. 10 - Evaluate the following: (a) 5 sin (5t 9) at t =...Ch. 10 - (a) Express each of the following as a single...Ch. 10 - Prob. 3ECh. 10 - Prob. 4ECh. 10 - Prob. 5ECh. 10 - Calculate the first three instants in time (t 0)...Ch. 10 - (a) Determine the first two instants in time (t ...Ch. 10 - The concept of Fourier series is a powerful means...Ch. 10 - Household electrical voltages are typically quoted...Ch. 10 - Prob. 10ECh. 10 - Assuming there are no longer any transients...Ch. 10 - Calculate the power dissipated in the 2 resistor...Ch. 10 - Prob. 13ECh. 10 - Prob. 14ECh. 10 - Prob. 15ECh. 10 - Express the following complex numbers in...Ch. 10 - Prob. 17ECh. 10 - Prob. 18ECh. 10 - Evaluate the following, and express your answer in...Ch. 10 - Perform the indicated operations, and express the...Ch. 10 - Insert an appropriate complex source into the...Ch. 10 - For the circuit of Fig. 10.51, if is = 2 cos 5t A,...Ch. 10 - In the circuit depicted in Fig. 10.51, if is is...Ch. 10 - Employ a suitable complex source to determine the...Ch. 10 - Transform each of the following into phasor form:...Ch. 10 - Prob. 26ECh. 10 - Prob. 27ECh. 10 - The following complex voltages are written in a...Ch. 10 - Assuming an operating frequency of 50 Hz, compute...Ch. 10 - Prob. 30ECh. 10 - Prob. 31ECh. 10 - Prob. 32ECh. 10 - Assuming the passive sign convention and an...Ch. 10 - The circuit of Fig. 10.53 is shown represented in...Ch. 10 - (a) Obtain an expression for the equivalent...Ch. 10 - Determine the equivalent impedance of the...Ch. 10 - (a) Obtain an expression for the equivalent...Ch. 10 - Determine the equivalent admittance of the...Ch. 10 - Prob. 40ECh. 10 - Prob. 41ECh. 10 - Find V in Fig. 10.55 if the box contains (a) 3 in...Ch. 10 - Prob. 43ECh. 10 - Prob. 44ECh. 10 - Design a suitable combination of resistors,...Ch. 10 - Design a suitable combination of resistors,...Ch. 10 - For the circuit depicted in Fig. 10.58, (a) redraw...Ch. 10 - For the circuit illustrated in Fig. 10.59, (a)...Ch. 10 - Referring to the circuit of Fig. 10.59, employ...Ch. 10 - In the phasor-domain circuit represented by Fig....Ch. 10 - With regard to the two-mesh phasor-domain circuit...Ch. 10 - Employ phasor analysis techniques to obtain...Ch. 10 - Determine IB in the circuit of Fig. 10.62 if and ....Ch. 10 - Determine V2 in the circuit of Fig. 10.62 if and ....Ch. 10 - Employ phasor analysis to obtain an expression for...Ch. 10 - Determine the current ix in the circuit of Fig....Ch. 10 - Obtain an expression for each of the four...Ch. 10 - Determine the nodal voltages for the circuit of...Ch. 10 - Prob. 59ECh. 10 - Obtain an expression for each of the four mesh...Ch. 10 - Determine the individual contribution each current...Ch. 10 - Determine V1 and V2 in Fig. 10.68 if I1 = 333 mA...Ch. 10 - Prob. 63ECh. 10 - Obtain the Thvenin equivalent seen by the (2 j) ...Ch. 10 - The (2 j) impedance in the circuit of Fig. 10.69...Ch. 10 - With regard to the circuit depicted in Fig. 10.70,...Ch. 10 - Prob. 67ECh. 10 - Determine the individual contribution of each...Ch. 10 - Determine the power dissipated by the 1 resistor...Ch. 10 - The source Is in the circuit of Fig. 10.75 is...Ch. 10 - Prob. 72ECh. 10 - (a) Calculate values for IL, IR, IC, VL, VR, and...Ch. 10 - In the circuit of Fig. 10.77, (a) find values for...Ch. 10 - The voltage source Vs in Fig. 10.78 is chosen such...Ch. 10 - For the circuit shown in Fig. 10.79, (a) draw the...Ch. 10 - For the circuit shown in Fig. 10.80, (a) draw the...Ch. 10 - (a) Replace the inductor in the circuit of Fig....Ch. 10 - Design a purely passive network (containing only...
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- Find the phase relationship between the following pair of waveforms: a) v = 25 V cos(@t + 77°) i = 4 A sin(@t – 43°) v = 10 V sin(@t + n) b) i=-2 A sin(@t) c) v = 120 V sin(wt – 223°) - i =-16 A cos(@t + 11°)arrow_forwardIf the voltage v = 380 cos (wt-160.8°). This may be represented as sine function by O 380 sin (wt + 70.8°) 380 sin (wt – 70.8°) O 380 sin (wt + 160.8°) O 380 sin (wt - 250.8°)arrow_forwardFind the phase relations for the following pairs of sinusoids. Sketch the curve e and i and determine which one LAGS and LEADS. a. v = 60 sin(377 t + 50º) V b. v = 6.4 sin(7.1 nt + 30°) V ; c. v = 42.3 sin(400 t + 60°) V ; i = 3 sin(754t – 10°)A i = 7.3 sin(7.1 at – 10°)A i = -4.1 sin(400t – 50º)Aarrow_forward
- Find the average power for each element in the given circuit. In the given circuit, Vm 46.0020° V. (Include a minus sign if necessary.) Vm ΔΩ www j2 m -j2: 20/90° The power absorbed by the resistor is W. The power absorbed by the 46.0020° V source is The power absorbed by the 20.90° V source is The power absorbed by the inductor is W. The power absorbed by the capacitor is W. W. W. (Round the final answer to three decimal places.)arrow_forwardASAParrow_forwardFind the average power for each element in the given circuit. In the given circuit, Vm= 42.00z0° V. (Include a minus sign if necessary.) 4Ω j2 Vm -j2: 20/90° The power absorbed by the resistor is The power absorbed by the 42.0020° V source is The power absorbed by the 20290° V source is The power absorbed by the inductor is The power absorbed by the capacitor is W. W. W. W. W. (Round the final answer to three decimal places.)arrow_forward
- Find the phase relations for the following pairs of sinusoids. Sketch the curve e and i anddetermine which one LAGS and LEADS.a. v = 60 sin(377 t + 50°) V ; i = 3 sin(754t − 10°)A b. v = 6.4 sin(7.1 πt + 30°) V ; i = 7.3 sin(7.1 πt − 10°)A c. v = 42.3 sin(400 t + 60°) V ; i = −4.1 sin(400t − 50°)Aarrow_forwardDerive the average value of the voltage in the figure Vm v(t) 311-12V 2πT >wtarrow_forwardFind the following: a. Find the total admittance Yr in polar form. b. Draw the impedence diagram. c. Find Is, IR, and L in phasor form. d. Verify Kirchhoff's current law at node 1. e. Find the sinusoidal expressions for the currents and voltage if the frequency is 60 Hz. I YT E = 60 VZ 0° ( 12 2 XL 10 2 llarrow_forward
- Given v, = 65 sin(@t + 30°)V and vz = 90 cos(@t – 30°)V, a) Sketch and label the sinusoidal waveform for the following voltages. Assumes that the frequency is 50 Hz. b) Determine the phase shift angle between the two sinusoidal waveforms ánd which one lags the other. c) Find the sum of vi and v2.arrow_forward49. Find the rms values of the following sinusoidal wayefor ms: a) v(t) = 120 sin(377t + 60°) b) i(t) = 6 x 10-3 sin(2n 1000t) c) v(t) = 8 x 10-6 sin(2r5000t + 30°)arrow_forwardProblem 53: Express the following in phasor form (in the rms sense). a. 20 sin (377t – 180°) b. 6 x 10-6 cos wt c. 3.6 x 10- cos (754t – 20°)arrow_forward
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