Table 8.3 Equations for analyzing the step response of parallel RLC circuits Characderistic oquation RC LC LC Neper, resonant, and damped frequencies a = = Va - a 2RC VLC Roos of the characteristic equation 51 = -a + Va - wi, 5= -a - Va - o a' > af: overdamped L) = , + Aje + Aje%, 120 0') = 1, + Aj + A; = , di (0") dt < ol: underdamped i0) = | + Be" cos o + Be" sin o4, 120 i(0*) = I, + B} = I, di (0") -aB + w,B; = dt %3D = o: cricaly damped in() = 1, + D'te*" + De, 120 i0) = 1, + D: = 1, di (0*) = Di - aD; = dt (Note that the equations in the last three rows assume that the
Table 8.3 Equations for analyzing the step response of parallel RLC circuits Characderistic oquation RC LC LC Neper, resonant, and damped frequencies a = = Va - a 2RC VLC Roos of the characteristic equation 51 = -a + Va - wi, 5= -a - Va - o a' > af: overdamped L) = , + Aje + Aje%, 120 0') = 1, + Aj + A; = , di (0") dt < ol: underdamped i0) = | + Be" cos o + Be" sin o4, 120 i(0*) = I, + B} = I, di (0") -aB + w,B; = dt %3D = o: cricaly damped in() = 1, + D'te*" + De, 120 i0) = 1, + D: = 1, di (0*) = Di - aD; = dt (Note that the equations in the last three rows assume that the
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter16: Waves
Section: Chapter Questions
Problem 88P: A sound speaker is rated at a voltage of P=120.00 V and a current of I=10.00 A. Electrical power...
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If the response is overdamped, calculate s1 and s2 using the equations
in Table 8.3;
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