Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Question
Chapter 15, Problem 43P
(a)
To determine
Graphically convolve
(b)
To determine
Find
(c)
To determine
Convolve
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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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- Please solve part a, b and c Also, find the impulse response g(t) for the systemarrow_forwardConsider the lateral dynamics of a vectored thrust aircraft as described in Example 3.12. Show that the dynamics can be described using the following block diagram: Ꮎ r ալ -mg Σ J82 ע 1 X ms² + cs Use this block diagram to compute the transfer functions from u₁ to 0 and x and show that they satisfy Нои r Js² - mgr Js²' Hau₁ Js2 (ms2+cs)arrow_forwardConsider the system dx ax+u. dt Compute the exponential response of the system and use this to derive the transfer function from u to x. Show that when s = a, a pole of the transfer function, the response to the exponential input u(t) = est is x(t) = eat x(0) + teat. For solving the system with u = eat eat you can't use the transfer function because the denominator is zero. Try using the convolution integral solution with initial conditions set as x(t) = eat x (0) + fo g(t − T)u(T)dT - g(t) is the impulse response of the system.arrow_forward
- dny dn-1y dn-1u dn-24 +a1 + + Any = bi +b₂- + +bnu. dtn dtn-1 dtn-1 dtn-2 a) Let be a root of the characteristic equation 1 sn+a1sn- + +an = : 0. Show that if u(t) = 0, the differential equation has the solution y(t) = e\t. b) Let к be a zero of the polynomial b(s) = b₁s-1+b2sn−2+ Show that if the input is u(t) equation that is identically zero. = .. +bn. ekt, then there is a solution to the differentialarrow_forwarddny dn-1y dn-1u dn-24 +a1 + + Any = bi +b₂- + +bnu. dtn dtn-1 dtn-1 dtn-2 a) Let be a root of the characteristic equation 1 sn+a1sn- + +an = : 0. Show that if u(t) = 0, the differential equation has the solution y(t) = e\t. b) Let к be a zero of the polynomial b(s) = b₁s-1+b2sn−2+ Show that if the input is u(t) equation that is identically zero. = .. +bn. ekt, then there is a solution to the differentialarrow_forwardFor step a), use equations (2) to find the equation for the input impedance equations (2) are V1 = jwL1I1 + jwMI2 and V2 = jwMI1 + jwL2I2 equation for the input impedance: Z1 = V1/I1 = jwL1 + (wM)2/(jwL2 + ZL)arrow_forward
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- 5) A circuit is given as shown (a) Find currents i₁, L2 and is . (6) Find voltages V, V2, V3 and Vy (c) For each circuit element in the circuit and the two sources, state whether they are ABSORBING SUPPLYING POWER and how much power is absorbed or supplied. + V₁ CIE, 1A +2V- C/E AS 1A + - 4A Vy+ CES CIES 2A4 + IOV +- + + V2 1 434 12V GVarrow_forwardDetermine the eigenvalues and eigenvectors of using Gauss A = -3 322 20 132 -3° 10 -2 4 eliminationarrow_forwardDetermine the eigenvalues and eigenvectors of 1-3 3 A = 3-53 6-64arrow_forward
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