Question

1. Determine the Laplace transform of the following signals e* .11(t) ; (b) g(t)=Icos(2) + sin(2t)j.u(1-3) ; (c) h(t)-t-e-21. cos(30.11(1) 2. Determine the Laplace transform of the non-periodic signal shown below: h(t) 0 1 2 3 4 t 3. Determine the Laplace transform of the periodic waveforms shown below: fa) f(t) 0 2T 4T 6T 8T 4. Determine the inverse Laplace transform of the following signals 2s (b) G)6s+12 H(s) =s.(14%) (a) F(s)-De (c) (2s +1)(s1 +5s +6 5. Using the Laplace transform technique, determine volt) in the circuit shown in Fig. 1, if .- ve(0)-+2 V and ii(0) 1A 1 F eu(t) A Fig.1 6. If v,=20V, determine v(t) for t>0 in the circuit shown in Fig. 2, using the Laplace Transform technique. Assume the switch has been in the left position for a long time v 100 mF v(t) 10Ω Fig. 2

Answer 1