Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Chapter 15, Problem 17P
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Design a problem to make the better understand of the Laplace transform of a simple, non-periodic waveshape.
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Design a 4-bit circuit with 2 outputs A and B. A is 1 if the input is divisible by 2 and B is 1 if the input is divisible by 3. Simplify A and B and implement the circuit.a. Draw KMAP for A and B and simplify them and then draw circuit
Chapter 15 Solutions
Fundamentals of Electric Circuits
Ch. 15.2 - Prob. 1PPCh. 15.2 - Prob. 2PPCh. 15.3 - Prob. 3PPCh. 15.3 - Prob. 4PPCh. 15.3 - Prob. 5PPCh. 15.3 - Prob. 6PPCh. 15.3 - Obtain the initial and the final values of...Ch. 15.4 - Prob. 8PPCh. 15.4 - Find f(t) if F(s)=48(s+2)(s+1)(s+3)(s+4)Ch. 15.4 - Obtain g(t) if G(s)=s3+2s+6s(s+1)2(s+3)
Ch. 15.4 - Find g(t) given that G(s)=20(s+1)(s2+4s+13)Ch. 15.5 - Graphically convolve the two functions in Fig....Ch. 15.5 - Given g(t) and f(t) in Fig. 15.20, graphically...Ch. 15.5 - Use convolution to find vo(t) in the circuit of...Ch. 15.6 - Prob. 15PPCh. 15.6 - Prob. 16PPCh. 15 - Prob. 1RQCh. 15 - Prob. 2RQCh. 15 - Prob. 3RQCh. 15 - Prob. 4RQCh. 15 - Prob. 5RQCh. 15 - If F(s) = 1/(s + 2), then f(t) is (a) e2t u(t) (b)...Ch. 15 - Prob. 7RQCh. 15 - Prob. 8RQCh. 15 - Prob. 9RQCh. 15 - Prob. 10RQCh. 15 - Prob. 1PCh. 15 - Prob. 2PCh. 15 - Prob. 3PCh. 15 - Prob. 4PCh. 15 - Prob. 5PCh. 15 - Prob. 6PCh. 15 - Prob. 7PCh. 15 - Prob. 8PCh. 15 - Prob. 9PCh. 15 - Prob. 10PCh. 15 - Find F(s) if: (a) ft=6etcosh2t (b) ft=3te2tsinh4t...Ch. 15 - If g(t) = 4e 2t cos 4t, find G(s).Ch. 15 - Prob. 13PCh. 15 - Prob. 14PCh. 15 - Prob. 15PCh. 15 - Prob. 16PCh. 15 - Prob. 17PCh. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - Prob. 20PCh. 15 - Prob. 21PCh. 15 - Prob. 22PCh. 15 - Prob. 23PCh. 15 - Design a problem to help other students better...Ch. 15 - Let F(s)=18(s+1)(s+2)(s+3) (a) Use the initial and...Ch. 15 - Determine the initial and final values of f(t), if...Ch. 15 - Prob. 27PCh. 15 - Prob. 28PCh. 15 - Prob. 29PCh. 15 - Prob. 30PCh. 15 - Find f(t) for each F(s): (a) 10ss+1s+2s+3 (b)...Ch. 15 - Prob. 32PCh. 15 - Prob. 33PCh. 15 - Prob. 34PCh. 15 - Obtain f(t) for the following transforms: (a)...Ch. 15 - Prob. 36PCh. 15 - Prob. 37PCh. 15 - Prob. 38PCh. 15 - Determine f(t) if: (a)...Ch. 15 - Show that...Ch. 15 - Prob. 41PCh. 15 - Design a problem to help other students better...Ch. 15 - Prob. 43PCh. 15 - Prob. 44PCh. 15 - Given h(t) = 4e2tu(t) and x(t) = (t) 2e 2tu(t),...Ch. 15 - Given the following functions...Ch. 15 - A system has the transfer function...Ch. 15 - Find f(t) using convolution given that: (a)...Ch. 15 - Prob. 49PCh. 15 - Prob. 50PCh. 15 - Given that v(0) = 5 and dv(0)/dt = 10, solve...Ch. 15 - Prob. 52PCh. 15 - Prob. 53PCh. 15 - Design a problem to help other students better...Ch. 15 - Prob. 55PCh. 15 - Solve for v(t) in the integrodifferential equation...Ch. 15 - Prob. 57PCh. 15 - Given that dvdt+2v+50tv()d=4u(t) with v(0) = 1,...Ch. 15 - Solve the integrodifferential equation...Ch. 15 - Prob. 60P
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- Question 1. Design a 4-bit combinational circuit for a 2’s complementer. The circuit generates at the output the 2’s complement of the input binary numbers.a) Complete the following truth table. A, B, C, D indicate the input binary number to be complement- ed using 2’s complement and W, X, Y, Z represent the output 2’s complement of the input binary number. The variable D is the least significant bit and A is the most significant bit of the binary number.b) Simplify the Boolean function W in its Sum-of-Products (SOP) form using a K-Map (you do not have to show the circuit) and provide its simplified Boolean expression.c) Show that the Boolean function W can be realized using exclusive-OR (XOR) gates and OR gates draw its corresponding logic circuit.d) Simplify the Boolean function Z in its Product-of-Sums (POS) form using a K-Map, provide its simplified Boolean expression and draw its corresponding logic circuit.arrow_forwardGiven the function F(x,y,z)= y +x′za. Expand F to its Product-of-Maxterms formb. Implement F with NAND gates only.arrow_forward+ Consider the following circuit. 25 nF 4 ΚΩ ww HE + 2 H Vo 10 ΚΩ a) [5 pts] The frequency of the source voltage in the circuit is adjusted until ig is in phase with vg. What is the value of oo in radians per second? Show calculations in the report. b) [5 pts] If vg = 45 cosoot V (where o is the frequency found in [a]), what is the steady-state expression for Vo? Show calculations in the report. c) [10 pts] Simulate the circuit in Multisim using the frequency found in [a] and verify the total impedance, Ig and Vo. Add the expressions to find the Total impedance and Io as explained in question 1. When finding Vo use the Differential Voltage probe and place the + and - probes as shown below (note that only that part of the circuit is shown below.) Double click on the + probe to open the properties window. Change the RefDes to Vo and select Show RefDes. This will display the name of the probe as Vo on the schematic. Include the schematic and the Grapher view window in your report. Vo +-…arrow_forward
- Consider the following circuit with v(t) = 250 sin(2500t) V. 62.5 Ω w 300 Ω i₁ + Vs 50 mH 500 Ω 1 μF (a) [14 pts] Obtain the following and include the calculations in the report. Vm, o, Frequency (f), ZL, ZC, Total Impedance (Ztot), Io, Steady-state expression for io:arrow_forwardNot use ai pleasearrow_forwardAdd the two AC voltages given below by converting them to their phasor forms. Express your final answer as a sinusoid in the time domain with phase angles measured in radians. You must show your all your work for the complex matharrow_forward
- Determine a) ic1(t=0-) and vc1(t=0-), i.e. just before the switch changes positions (just before t = 0 s) b) ic1(t=0) and vc1(t=0), i.e. just after the switch changes positions c) ic1(t=∞) and vc1(t=∞), i.e. at steady state after the switch changes positions d) The expression for vc1(t) for t ≥ 0 sarrow_forwardAfter having been in position 1 for a long time, the switch in the circuit below was moved to position 2 at t = 0 s. Determine: a) iL(t=0-) and vL(t=0-), i.e., just before the switch changes positions (just before t = 0 s) b) iL(t=0) and vL(t=0), i.e., just after the switch changes positions c) iL(t=∞) and vL(t=∞), i.e., at steady state after the switch changes positions d) The expression for iL(t) for t ≥ 0 sarrow_forwardCan you please answer these three questions.arrow_forward
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