ABCDEFGHIJKLMNOPQ
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Given:Intermediate Calculations:0.000000
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|VΘ-Θ| =13.80kV|Z| = SQRT(R2 + X2) =0.6083Ohms0.000100
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R =0.1000Ohmsφ = arg(Z) = tan-1(X / R) =80.54degrees0.000200
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X = ω * L = 0.6000Ohms|VΘ-G| = |VΘ-Θ| / SQRT(3) =7.967kV0.000300
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f =50.00Hz|ISYM| = |VΘ-G| / |Z| =13.098kA0.000400
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ω = 2 * π * f =314.16rad / s0.000500
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Determine |IRMS| for t =1.00cycle(s)Tau = L / R = (X / R) / ω =19.099ms0.000600
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1.00cycle(s) =20.000ms0.000700
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L = X / ω =1.910mH0.000800
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0.000900
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Solution:0.001000
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|IRMS| = [SQRT(1+2*e-2*t/Tau)]*|ISYM| A
0.001100
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|IRMS| =14.623kA0.001200
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0.001300
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0.001400
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0.001500
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0.001600
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0.001700
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0.001800
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0.001900
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0.002000
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0.002100
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0.002200
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0.002300
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0.002400
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0.002500
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0.002600
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0.002700
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0.002800
31
0.002900
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0.003000
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0.003100
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0.003200
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0.003300
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0.003400
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0.003500
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0.003600
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0.003700
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0.003800
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0.003900
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0.004000
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0.004100
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0.004200
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0.004300
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0.004400
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0.004500
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0.004600
49
0.004700
50
0.004800
51
0.004900
52
0.005000
53
0.005100
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0.005200
55
0.005300
56
0.005400
57
0.005500
58
0.005600
59
0.005700
60
0.005800
61
0.005900
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0.006000
63
0.006100
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0.006200
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0.006300
66
0.006400
67
0.006500
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0.006600
69
0.006700
70
0.006800
71
0.006900
72
0.007000
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0.007100
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0.007200
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0.007300
76
0.007400
77
0.007500
78
0.007600
79
0.007700
80
0.007800
81
0.007900
82
0.008000
83
0.008100
84
0.008200
85
0.008300
86
0.008400
87
0.008500
88
0.008600
89
0.008700
90
0.008800
91
0.008900
92
0.009000
93
0.009100
94
0.009200
95
0.009300
96
0.009400
97
0.009500
98
0.009600
99
0.009700
100
0.009800