Q2\ Find the phase relationship between the waveforms of each set: a. v4 sin(wt + 50°) i 6 sin(wt + 40°) b. v 25 sin(wt - 80°) -3 i= 5 x 103 sin(wt - 10°) c. v=0.2 sin(wt - 60°) i=0.1 sin(wt + 20°) d. v=200 sin(wt - 210°) i = 25 sin(wt 60°) -
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- 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…Convert -20 sin (wt + 10°) to cosine. A 20 cos(wt + 100) B) 20 cos(wt - 80) (c) 20 cos(wt + 190) D 20 cos(wt - 170)Prob. I and Vc For the following RMS phasor circuit, a coworker has determined values for 50 Ohms 50 Ohms i,- 225 2253.13° = 190.92 + 254.56 VRMS R1 + R2 Vc = 237.17/26.565° = 212.13+ 106.07 VRMS 100 2 -3Z98.13° =-0.4243 + J2.970 ARMS C -j60 Ohms For this problem provide at least 3 digits of precision for the answers. The results for the following calculations are to be answered in - a) Find the current I b) Determine the real (P) and reactive(Q) power DELIVERED by the source c) Determine the real (P) and reactive (Q) power ABSORBED by each impedance ( resistors R1 and R2, inductor and capacitor). The values for P and Q can be positive or negative. Remember S =P+jQ, so do not include the j with your answer for Q. Each of these answers will require two parts. For the phasor a magnitude and angle will be needed. For the powers, The real power P and the reactive power Q are required.
- C. Draw a general sine wave V vs t and I vs t plot for a purely resistive and a purely inductive circuit and show leading lagging parameters and clearly mark the phase difference.Q5)-a)For this figure shown below the phase relationship between the sinusoidal waveform Of this set. -10sin(wt+80) V=15sin (wt+40) Q5)-b) for this circuit find the max energy if XL=100 Vm-300v,L=0.3H V= Vm SinwtShown 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
- For the phasor diagram in figure 6 express the voltages in sinusoids for a period of 5ms. Im Re )e,=45° e,=20 Vz=10 V2=8 Figure 7 a. Va(t)=. b. V2(t)=. c. What is the rms voltage of V1 = d. What is the rms voltage of V2=_ e. What is the frequency in Hz = f. What is the angular frequency =. In terms of lagging and leading what is the exact phase relationship between V, (t) and V2(t) g.P.3: Find the rms value for the following sinusoidal waveforms a. v= 120 sin(377t + 60°) b. i=6x 10³ sin(2# 1000r) c. u=8 x 10-6 sin(2# 5000 + 30°) P.4: Find the rms value for the following sinusoidal waveforms a. v= 20 sin 754r b. v= 7.07 sin 377r c. i=0.006 sin(400r + 20°) d. i 16 x 10³ sin(377r - 10%) P.5: Write the sinusoidal expressions for voltages and currents having the following rms values at a frequency of 60 Hz with zero phase shifts: a. 4.8 V b. 50 mA c. 2 kVThe source in the circuit shown is a sinusoidal source. The supply voltages across various elements are marked in the figure. The input voltage is: 3V- ww -14 V-10V moon It
- What is the phase relationship between the sinusoidal waveforms of each of the following sets? a. V = 10 sin (wt +30) i = 5 sin (wt+ 70) b. V = 10 sin (wt - 20) i = 15 sin (wt+ 60)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°)Apply a sinusoidal input voltage with 2V p-p and vary the frequency according to the table below. Measure the voltage Vr and current I from the voltage across R and find the phase angle between the Vi and I.