MATERIALS SCIENCE+ENGINEERING:WILEY PLUS
MATERIALS SCIENCE+ENGINEERING:WILEY PLUS
10th Edition
ISBN: 9781119815242
Author: Callister
Publisher: WILEY
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Chapter 5, Problem 1DP
To determine

The possibility to purify hydrogen gas in the given manner if possible then the temperature required and thickness of the metal sheet. If not possible then the probable reason for it.

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2.52. The step response s(t) of a continuous-time LTI system is given by s(1) = [cos wol ]u(1) Find the impulse response h(t) of the system. Ans. h(t)=8(1) - wo[sin w₁t]u(t)
2.48. Show that if y(t) = x(t)* h(t), then y' (t) = x' (1) * h(t) = x(t) * h'(t) Hint: Differentiate Eqs. (2.6) and (2.10) with respect to t. 2.49. Show that x(1) * 8'(t) = x(t) Hint: Use the result from Prob. 2.48 and Eq. (2.58).
2.47. Compute the convolution sum y[n] = x[n]+h[n] of the following pairs of sequences: (a) x[n] = u[n], h[n] = 2"u[n] (b) x[n]=u[n]-u[n-N], h[n]=a"u[n], 0 < a <1 (c) x[n]=()"u[n], h[n] = 8[n] - 8[n-1]
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