a) Sketch and find the phase relationship between the following waveforms: V = 0.2 sin (wt -60°) /= 5 sin (wt -20°) b) Sketch and find the phase relationship between the following waveforms: V=-4 cos (wt +90°) /=-2 sin (wt + 10⁰) c) The sinusoidal current i = 20 × 10-³ sin (50, 000t - 40°) is plotted in Fig. 4. Determine the time to when the waveform crosses the axis. 20 mA 1 (μs)( -40° 27 -20 mA Figure 4.

a) Sketch and find the phase relationship between the following waveforms: V = 0.2 sin (wt -60°) /= 5 sin (wt -20°) b) Sketch and find the phase relationship between the following waveforms: V=-4 cos (wt +90°) /=-2 sin (wt + 10⁰) c) The sinusoidal current i = 20 × 10-³ sin (50, 000t - 40°) is plotted in Fig. 4. Determine the time to when the waveform crosses the axis. 20 mA 1 (μs)( -40° 27 -20 mA Figure 4.

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...

See similar textbooks

Similar questions

The relation between the effective value and the maximum value of a sinusoidal voltage is
A pure sinusoidal waveform with a period time or 0.02, has a frequency of 50Hz, define the angular frequency of the phasor representing the waveform with a simple phasor diagram.
Find the effective value of a sinusoidal voltage with a maximum value of 110 V.
P.4: Find the rms value for the following sinusoidal waveforms a. v = 20 sin 754t b. v = 7.07 sin 377t c. i = 0.006 sin(400t + 20°) d. i 16 x 10-3 sin(377t - 10°)
Shown in the figure below is an "RL" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 9.84 Volts and is running at a frequency of f = 8.585e+04 Hz. The resistor has a resistance of R = 2170 and the inductor has an inductance of L = 3.54e-03 Henries. Vps R ww Write the FORMULA for the total impedance of the circuit Ztot = Determine the numerical value of Ztot = 2890.5 Determine the numerical value of $z= = 41 Determine the current through the circuit: • I(PEAK) = 4.81E-3 • I(RMS) = 3.404E-3 Determine the voltage across the resistor: • VR(PEAK) = 7.387 • VR(RMS) = 5.22 ✔✔ Amps ✔Amps Write the FORMULA for the phase of the total impedance of the circuit z... = | tan-1 2701 R x Volts X Volts Determine the voltage across the inductor: • VL(PEAK) = 9.184 • VL(RMS) = 6.49 ✔ Volts Volts L R²+ WL- ✔ degrees 2 If a second circuit were connected in parallel with the inductor, this circuit would be considered as: O a low-pass filter O a capacitive switcher…
Question 1: what is the phase relationship between the sinusoidal waveforms of each of the following sets? v = 10 sin(oot +20°) i=5 sin(of - 50°)
The inductive reactance (XL). be affected by the harmonics of non-sinusoidal .wave all-of-them O could O cannot O will O
Shown in the figure below is an "RC" circuit drive by an AC power source. The AC power source has an RMS voltage of Vps (RMS) = 11.58 Volts and is running at a frequency of f = 1.326e+04 Hz. resistor has a resistance of R = 3750 2 and the capacitor has an capacitance of C = 3.17e-09 Farads. Vps R ww Write the FORMULA for the total impedance of the circuit Ztot = Write the FORMULA for the phase of the total impedance of the circuit tot = Determine the numerical value of Ztot = Determine the numerical value of Pztot= Determine the current through the circuit: • I(PEAK) = • I(RMS) = Determine the voltage across the resistor: Amps Amps S2 C degrees
A voltage wave of 250 kHz has a Vmax-5 V and Vmin=-35 V. The duty cycle of this wave is 0.875. This voltage waveform has been applied across a 2.5 µH inductor for a very long time so that steady state has been achieved. Diagrams of the wave parameters and circuit are shown in this figure: L What is the average voltage of this wave? Average voltage = 35 V Voltage (arb, unit) 1.25 Minimum current: -3.5€ Amps 1 0.75 0.5 0.25 0 4.25 05 Have you integrated the wave over full cycle? 4.75 4 -1.25 Vmax 0.5 Vmin What is the average current flowing through the inductor? Average current = 3.56 A 15 Period/s On average, there is no power consumed by the inductor. Have you considered this? What are the maximum and minimum currents that flow through the inductor? Maximum current: 0.50 Amps D= 25 TH TH Have you used the relationship for current and voltage in an inductor? Have you considered the slope of the current wave?
HW1//: find the amplitude, period, and frequency for the following waveform. a. 20 sin 377t b. 5 sin 754t c. 10° sin 10,000r d. 0.001 sin 942t f. ) sin 6.283t e. -7.6 sin 43.6t HW/2 Find the phase relationship between the waveforms of each set: a. v= 4 sin(wt + 50°) i = 6 sin(wt + 40°) 80°) i = 5 x 10- sin(wt 60°) i = 0.1 sin(wt + 20°) b. v= 25 sin(wt 10°) c. v= 0.2 sin(wt d. v= 200 sin(wt 210°) i- 25 sin(wwt – 60°) HW/3 Repeat Problem 29 for the following sets: a. v= 2 cos(wr - 30°) i = 5 sin(wt + 60°) c. v= -4 cos(wt + 90°) i = -2 sin(wt + 10°) b. v -1 sin(wr + 20°) i - 10 sin(wwt - 70°)
Write down the equation for a sinusoidal voltage of 50 Hz and its peak value is 20 V.
1) For the following waveforms; i= -2sin (wt+20°) v = 5sin (wt+10°) The phase relationship between the waveforms is: a) v lags i by 170° b) i leads v by 160° c) v leads i by 170° d) v leads i by 160°