


Forms 125% Find 8.71 Obtain t for0KI< 4s inthe cincuit of Fig. 8.116 04F 1 6Ω...
8.5 Find i for t> 0 if (0) 4 V. 6Ω 2i V 3Ω PROBLEM 8.5 8.6 Consider a source-free circuit that has a response v(t) Voe. Show that a stra
I need help with these Laplace problems:)
(1 point) Find the Laplace transform of <9 f(t) = { 0, " I(t - 9)?, 129 F(s) = (1 point) Find the inverse Laplace transform of e-75 F(s) = 52 – 2s – 15 f(t) = . (Use step(t-c) for uc(t).) (1 point) Find the Laplace transform of 0. f(t) t<5 112 – 10t + 30, 125 F(s) =
65. Let v, = -12u(-1) + 24u(t) V in the circuit of Fig. 8.90. Over the time in terval -5 ms < t < 5 ms, find an algebraic expression for and sketch the quantity (a) vc(t); (b) lin(t). Figure 8.90 in 10k52 20 kn 3 vc 300 nF
= For the circuit of Fig. 8.27, let io(t < 0) = -1 mA, 1,(t > 0) = 2 mA, R 2.000 Q, R = 3,000 12, and L = 20 mH. a. Find va for t > 0. b. What is the approximate duration of the transient? 6. Sketch va(t). FIGURE 8.27
QUESTION 1 5 Find the Laplace transform of the function f(t) t, 0<t<1 1, t > 1
Find the Laplace transform of f(0) = 1, for 0 <t<1 5, for 1<t<2. e-l for t > 2
Find the Laplace Transform of f(t)=0 if t<1: f(t) = t if 13t<2; f(t) = 0 ift> 2.
Find the length of the curve r(t) =< 3cost, 3sint, 4t > for 1 st 57.
Given the network in fig., find v(t) for t>0. 2 A 1 H 4Ω 6 A 1Ω 0.03 F v (t) = cos sin
5. Find the Fourier Transform of g(t) = {o. (1-x?, x<1, 1</z/.