1. In single-phase circuits test, consider the instantaneous power waveforms. How is the value of the...

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Electrical Engineering

1. In single-phase circuits test, consider the instantaneouspower waveforms. How is the value of the real power obtained in thesoftware? What is the significance of the instantaneous power goingnegative (consider direction of power flow and reactive power)?

2.  For each of the resistive, inductive andcapacitive loads (loads 1-3), comment on whether the currentwaveform is smoother, noisier or the same shape as the voltagewaveform. Explain the results using the following, for a resistor i= v/R, for an inductor, the current is proportional to the integralof the voltage , while in a capacitor, the current is proportionalto the derivative of the voltage.

3.

Device

Acquired Parameters

Calculated Parameters

Vrms (V)

Irms (A)

P (W)

S (VA)

Q (VAr)

cos q

R (W)

X (W)

1. Resistor R, (50W, D.C. Board)

62.7

1.17

73.5

73.359

j4.55

1.0019

53.69

j3.324

2. Inductor L, 10A

61.8

0.87

4

53.766

53.617

0.0744

5.285

70.834

3. Capacitor C, 18mF

62.5

0.36

-0.1

22.5

-22.50

-0.004

-0.772

-173.6

Calculate the inductance and capacitance (showing your working)corresponding to the calculated reactances in rows 2 and 3 of Table3. Compare the calculated capacitance to its nominal value.

4. Show the formulas (e.g. Z1//Z3, you donot need to show your working) you would use to calculate theimpedance for loads 4 to 6 in terms of the impedance of loads 1 to3.

Answer & Explanation Solved by verified expert
4.0 Ratings (695 Votes)
1In AC circuit analysis what is this power that we talk about Themain problem is that the AC voltage and current varies sinusoidallywith time Moreover the presence of circuit reactive elements likeInductor and capacitor shift the current wave with respect tovoltage wave angle of phase differencePower is rate at which energy is consumed by load or produced bygenerator Whether it is DC circuit or AC circuit the value ofinstantaneous power is obtained by multiplying instantaneousvoltage with instantaneous current If at any instant of time t thevoltage and current values are represented by sine functionsas v Vmsin ti Imsin t Vm and Imare the maximumvalues of the sinusoidal voltage and current Here 2ff is the frequency and is the angularfrequency of rotating voltage or current phasors It should beclear that for a power system f is usually 50 or 60 Hz is the phasedifference between the voltage and currentAs we said the instantaneous power is the product of instantaneousvoltage and current if we name instantaneous power as p thenp vi Vmsin t Imsin tor p Vm Im sin t sin tApplying trigonometric formula 2sin Asin B cosAB cos ABwe getIt can be written    See Answer
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