42 Numerical and Analyt and capacitor (RLC) circuit (s, Electrical Engineering E

Question

42 Numerical and Analyt and capacitor (RLC) circuit (s, Electrical Engineering E2.6 The voltage in a parallel resistance, inductor, and nce, inductor, and cap by Take R= 100 L-10-3 H C- 10-6 F B =-89 V a. Determine end for 0 $155.0×10- s. Use 100 subdivisions on the ti b. Print out a table of v vs. t every fourth subdivision. s on the time domain. E2.7 In North America, residential electrical I service is usually delivered as as two sinusoids at 60 Hz with no DC component, each 180° out of phase with each other (see Figure 2.14), referred to as one-phase service. Foe high-power appliances (c.g., air conditioners and stoves), the current is drawn from both "legs" of the service. Phase A 170 -170 Phase B 60 Figure 2.14 One-phase electrical service.

Explanation / Answer

E2.6)

>> m=(10^-3);
>> u=(10^-6);
>> R=100;
>> L=m;
>> C=u;
>> A=6;
>> B=-8.9;
>> t=0:5*u:500*u;
>> v=exp((-1./(2*R*C))*t).*((A.*cos(sqrt((1./(L*C))-power((-1./(2*R*C)),2)*t)))+(B.*sin(sqrt((1./(L*C))-power((-1./(2*R*C)),2)*t))))

v =

Columns 1 through 5

    9.5078    9.2827    9.0628    8.8481    8.6384

Columns 6 through 10

    8.4337    8.2337    8.0385    7.8479    7.6617

Columns 11 through 15

    7.4799    7.3024    7.1291    6.9599    6.7946

Columns 16 through 20

    6.6332    6.4757    6.3218    6.1716    6.0249

Columns 21 through 25

    5.8817    5.7418    5.6053    5.4719    5.3418

Columns 26 through 30

    5.2147    5.0905    4.9694    4.8510    4.7355

Columns 31 through 35

    4.6227    4.5126    4.4051    4.3001    4.1976

Columns 36 through 40

    4.0975    3.9998    3.9044    3.8112    3.7203

Columns 41 through 45

    3.6315    3.5448    3.4602    3.3776    3.2969

Columns 46 through 50

    3.2182    3.1413    3.0662    2.9929    2.9214

Columns 51 through 55

    2.8515    2.7834    2.7168    2.6518    2.5883

Columns 56 through 60

    2.5264    2.4659    2.4069    2.3493    2.2930

Columns 61 through 65

    2.2381    2.1845    2.1321    2.0810    2.0311

Columns 66 through 70

    1.9824    1.9349    1.8885    1.8432    1.7990

Columns 71 through 75

    1.7558    1.7137    1.6725    1.6324    1.5932

Columns 76 through 80

    1.5549    1.5175    1.4811    1.4455    1.4108

Columns 81 through 85

    1.3768    1.3437    1.3114    1.2799    1.2491

Columns 86 through 90

    1.2190    1.1897    1.1611    1.1331    1.1058

Columns 91 through 95

    1.0792    1.0532    1.0278    1.0031    0.9789

Columns 96 through 100

    0.9553    0.9323    0.9098    0.8879    0.8664

Column 101

    0.8455

>>

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