Solved: The switch in Figure DP 8-3 closes at time 0, 2Dt, 4Dt, ...2kDt and opens at
Chapter 8, Problem SP8-8(choose chapter or problem)
The switch in Figure DP 8-3 closes at time 0, 2Dt, 4Dt, ...2kDt and opens at times Dt, 3Dt, 5Dt, . . . . (2k 1)Dt. When the switch closes, v(t) makes the transition from v(t) 0 V to v(t) 5 V. Conversely, when the switch opens, v(t) makes the transition from v(t) 5 V to v(t) 0 V. Suppose we require that one transition be 95 percent complete before the next one begins. (a) Determine the value of C required so that Dt 1 ms. (b) How large must Dt be when C 2 mF? Hint: Show that Dt t ln(1 k) is required for the transition to be 100 k percent complete. A
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