Find the transfer function H(s), and impulse response h(t), in terms of the resi

Question

Find the transfer function H(s), and impulse response h(t), in terms of the resistance R and inductance C. Given vi(t) = A|u(t - t0) - u(t - t1)|. as shown below, determine the output v0(t), directly in the time-domain from the convolution integral. That is evaluate v0(t) = h(t) * vi(t). Use the values in your derivation. R = 10 Ohm, C = 0.01 F, A = 10V, t0 = 5s, and t1 = 10s. Plot v0(t) using Matlab. Find V0(s) by noting that V0(s) = H(s)Vi(s). Use the inverse Laplace transform to find v0(t) from V0(s), and verify your solution from part (b).

Explanation / Answer

V0(s)=( Vi(s) * R ) / R+1/cs H(S) = V0(s) / Vi(s) = R/ (R + 1/cs)

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