Basic Engineering Circuit Analysis
11th Edition
ISBN: 9781118539293
Author: J. David Irwin, R. Mark Nelms
Publisher: WILEY
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Chapter 3, Problem 97P
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Find the inverse of Laplace transform
s-1
5+5
, Re[s]>-3
(s+1)(s-3)
s+5
a)
s²(s+3)
b)
c)
(S-1)(s+1)2
d)
s+5
, i) Re[s]> 3 ii) Re[s]-1 ii) Re[s] 1
(s-1)(s-2)(s-3)'
, i) Re[s]> 3 ii) Re[s]<1 iii) I
1- Find the Laplace transform and the corresponding ROC of the following
signals.
a) x(t) = [et + et cos(3t)]u(t)
b)x(t) = e-alte-atu(t) + eatu(-t), consider a>0.
c) x(t)=8(t) +8(t-1)+8(t−2)
d) x(t) = u(-1)-u(1)
e) x(t) = e-³t sin(2t)u(t)dr
f)x(t) =[r³ +sin(2t)]u(t)dt
g)x(t)=t2e2 cos(5t) u(t - 1)
The transfer function of causal LTI system is H(s) =
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(s+1)(s+3)
Determine the response y(t) when the input x(t) = elt, for the following region
of convergence :) Re[s]> -3 ii) Re[s]Re[s]> -3
Chapter 3 Solutions
Basic Engineering Circuit Analysis
Ch. 3 - Use nodal analysis to find V1 in the circuit in...Ch. 3 - Find both Io and Vo in the network in Fig. P3.2...Ch. 3 - Find I1 in the network in Fig. P3.3.Ch. 3 - Find I1 in the circuit in Fig. P3.4.Ch. 3 - Use nodal analysis to find V1 in the circuit in...Ch. 3 - Find V1 and V2 in the circuit in Fig. P3.6 using...Ch. 3 - Use nodal analysis to find both V1 and Vo in the...Ch. 3 - Write the node equations for the circuit in Fig....Ch. 3 - Find Vo in the network in Fig. P3.9.Ch. 3 - Find Io in the circuit in Fig. P3.10 using nodal...
Ch. 3 - Use nodal analysis to find Io in the network in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the network in Fig. P3.13 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Io in the network in Fig. P3.15 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to find Vo in the network in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.19 using...Ch. 3 - Find Vo in the network in Fig. P3.20 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.21 using nodal...Ch. 3 - Find Io in the circuit in Fig. P3.22 using nodal...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Use nodal analysis to find Vo in the network in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to solve for the node voltages...Ch. 3 - Find Vo in the network in Fig. P3.27 using nodal...Ch. 3 - Find Io in the network in Fig. P3.28 using nodal...Ch. 3 - Use nodal analysis to find Io in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.30 using nodal...Ch. 3 - Find Io in the circuit in Fig. P3.31 using nodal...Ch. 3 - Use nodal analysis to find Io in the circuit in...Ch. 3 - Using analysis, find Vo in the network in Fig....Ch. 3 - Find Vo in the network in Fig. P3.34 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.35 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.36 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.38 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.39 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the network in Fig. P3.41.Ch. 3 - Find I0 in the network in Fig. P3.42 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.43 using nodal...Ch. 3 - Find Io in the network in Fig. P3.44 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.45 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.46 using nodal...Ch. 3 - Find Io in the network in Fig. P3.47 using nodal...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Vo in the network in Fig. P3.49 using nodal...Ch. 3 - Find Vo in the network in Fig. P3.50 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.51.Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Determine Vo in the network in Fig. P3.53 using...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Io in the circuit in Fig. B3.56 using nodal...Ch. 3 - Use nodal analysis to solve for IA in the network...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Use nodal analysis to find V1,V2,V3, and V4 in the...Ch. 3 - Determine Vo in the network in Fig. P3.60 using...Ch. 3 - Use nodal analysis to find V1,V2,V3, and V4 in the...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Use nodal analysis to determine the node voltages...Ch. 3 - Find Io in the network in Fig. P3.65 using mesh...Ch. 3 - Find Vo in the network in Fig. P3.66 using mesh...Ch. 3 - Find Vo in the network in Fig. P3.67 using mesh...Ch. 3 - Find Io in the circuit in Fig. P3.68 using mesh...Ch. 3 - Use mesh analysis to find Vo in the circuit in...Ch. 3 - Find Io in the circuit in Fig. P3.70 using mesh...Ch. 3 - Use mesh analysis to find Vo in the network in...Ch. 3 - Find Io in the circuit in Fig. P3.72.Ch. 3 - Find Vo in the circuit in Fig. P3.73 using mesh...Ch. 3 - Find Vo in Fig. P3.74 using mesh analysis.Ch. 3 - Use loop analysis to find Vo in the network in...Ch. 3 - Find Io in Fig. P3.76 using mesh analysis.Ch. 3 - Find Vo in the network in Fig. P3.77 using loop...Ch. 3 - Find Io in the circuit in Fig. P3.78 using loop...Ch. 3 - Find Vo in the circuit in Fig. P3.79 using mesh...Ch. 3 - Use mesh analysis to find Vo in the circuit in...Ch. 3 - Use mesh analysis to find Io in the network in...Ch. 3 - Use loop analysis to find Vo in the circuit in...Ch. 3 - Use loop analysis to calculate the power supplied...Ch. 3 - Use loop analysis to find Io and I1 in the network...Ch. 3 - Find Vo in the network in Fig. P3.85 using loop...Ch. 3 - Find Vo in the circuit in Fig. P3.86 using...Ch. 3 - Find Io in network in Fig. P3.87 using loop...Ch. 3 - Find Io in the network in Fig. P3.88 using loop...Ch. 3 - Use loop analysis to find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the network in...Ch. 3 - Find Io in the circuit in Fig. P3.91 using mesh...Ch. 3 - Use analysis to find Io in the network in Fig....Ch. 3 - Using loop analysis, find Io in the circuit in...Ch. 3 - Find the mesh currents in the network in Fig....Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the network in...Ch. 3 - Find Io in the circuit in Fig. P3.97 using loop...Ch. 3 - Find Io in the network in Fig. P3.98 using loop...Ch. 3 - Find Vo in the circuit in Fig. P3.99 using loop...Ch. 3 - Use nodal analysis to find Vo in Fig. P3.100.Ch. 3 - Find Vo in the circuit in Fig. P3.101 using nodal...Ch. 3 - Use loop analysis to find Vo in the network in...Ch. 3 - Use nodal analysis to find Vo in the network in...Ch. 3 - Find Vo in the network in Fig. P3.104 using nodal...Ch. 3 - Find the power supplied by the 2-A current source...Ch. 3 - Find Io in the network in Fig. P3.106 using nodal...Ch. 3 - Find Vo in the circuit in Fig. P3.107 using loop...Ch. 3 - Use mesh analysis to find Vo in the circuit in...Ch. 3 - Using mesh analysis, find Vo in the circuit in...Ch. 3 - Find Vo in the circuit in Fig. P3.110 using nodal...Ch. 3 - Find Vx in the circuit in Fig. P3.111.Ch. 3 - Find Io in the circuit in Fig. P3.112.Ch. 3 - Write mesh equations for the circuit in Fig....Ch. 3 - Find Ix in the circuit in Fig. P3.114 using loop...Ch. 3 - Solve for the mesh currents defined in the circuit...Ch. 3 - Solve for the assigned mesh currents in the...Ch. 3 - Using the assigned mesh currents shown in Fig....Ch. 3 - Find Vo in the network in Fig. B3.118.Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Vo in the network in...Ch. 3 - Using loop analysis, find Vo in the circuit in...Ch. 3 - Using loop analysis, find Io in the network in...Ch. 3 - Use analysis to find Io in the circuit in Fig....Ch. 3 - Find Vo in the circuit in Fig. P3.125 using loop...Ch. 3 - Using loop analysis, find Io in the circuit in...Ch. 3 - Use mesh analysis to determine the power delivered...Ch. 3 - Use mesh analysis to find the power delivered by...Ch. 3 - Use nodal analysis to find Vo in the circuit in...Ch. 3 - Find Io in the network in Fig. P3.130 using nodal...Ch. 3 - Find Vo in the circuit in Fig. 3PFE-l. a. 3.33 Vc....Ch. 3 - Determine the power dissipated in the 6-ohm...Ch. 3 - Find the current Ix in the 4-ohm resistor in the...Ch. 3 - Determine the voltage Vo in the circuit in Fig....Ch. 3 - What is the voltage V1 in the circuit in Fig....
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- Consider the signal y(t) = x₁(t-2) x2(-t + 3) where x₁(t) = e−2tu(t) and x2(t) = eu(t). Determine the Laplace transform of y(t) using the properties. Also find the ROC.arrow_forwardConsider the LTI system with the input x(t) = eu(t) and the impulse response h(t) = e−2tu(t). a) Determine the Laplace transform of x(t) and h(t). b) Using convolutional property, determine the Laplace transform of the output y(t). Find the ROC for each case.arrow_forward2) a) Plot the voltage transfer characteristic of the circuit below. Assume diode and zener are ideal with VDon=0V (20Pts) view 1K 1, B-100, VBE =0,7V ovo VCEsat = 0V, 2K It 10 V 8V zenerarrow_forward
- circuit dchow find vth step by step rth find RL that enables the circuit to deliver maximum power to terminal then plot norton cırcuitarrow_forwardDon't use ai to answer I will report you answerarrow_forwardSA [(a) 5 V (b) 5 V] 13. Find the voltage V in the network shown in Fig. 2.44 (a) if R is 10 2 and (b) 20 2 14. In the network of Fig. 2.44 (b), calculate the voltage between points a and b i.e. Vab [30 V] (Elect. Engg. I, Bombay Univ.) 4A 78A 4 h 10A ww 3A (a) ΤΑ 6A DC Network Theorems SA Is 1A 77 12A www 12 6A 8A Fig. 2.44 (b) [Hint: In the above two cases, the two closed loops are independent and no current passes between them].arrow_forward
- O Draw the four possible negative feedback contigurations of an op-amp. Write the input and output impedances of these configurations in ideal cases. 5arrow_forwardE9.6 Determine the average power absorbed by the 4-2 and 3-2 resistors in Fig. E9.6. 302 j20 Figure E9.3 4Ω ww Figure E9.6 12/0° V j30 -j2 N 13/10° A (+60° V (OEFarrow_forward-160 For the P-channel JFET given in the following figure, the IDSS = 2MA a) Determine IDQ and VSDQ b) Determine the source-follower circuit transistor parameters are: Vp = +1,75 V, and λ=0. Small-signal voltage gain, Av = So VDD = 10V R₁ = 90kr Rs =5k CC1 WW R₂ = 110kn 50 C02 BL = 10 kr GNDarrow_forward
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