3. Phasors and Impedance: Calculate the equivalent impedance of the circuit shown below at w = 50 radians per second. L1 20 mH L2 20 mH 1 R1 ww 5 2 2 HIN 2 C1 10 mF HH 2 C2 10 mF
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- The rms value of v(t)=Vmaxcos(t+) is given by a. Vmax b. Vmax/2 c. 2Vmax d. 2VmaxShown 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…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
- what is the reactive power absorbed by the load ZL in VAR? Assume source is in rmsThe below figure shows the waveform of the voltage and current in a purcly inductive AC circuit. Voltage Current Using the voltage phasor as the reference, the current phasor O Is in phase with the voltage Lags by 90° O Leads by 90° Lags and then leads by 160°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.
- Explain the following 1. Diffrence between DC and AC Electricity. 2. how to convert rectangular form to polar form and polar form to rectangular form. 3. why need to improve a power factorQ8 The average Power to the Plant Shown m Figure is 2438 kW and Power factor is 0.707 (0gging. The generator is Sinusoidap in waveform with w-377 rad/sec and effective value is 4488 voltos. Determine value of capacitance c Such factor is that power 1 l99ging TC elantFor 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.
- Write a report to compare between Ac Through capacitance and AC through in inductance then: For the circuit shown beside, find The average power delivered to * .the circuit I 92 100 0 v 82 -j72 b wwQUESTION 4 A resistor, a capacitor, and an inductor are connected in series with a function generator. The resistor has a resistance of 1.5k2, the inductor has a reactance of 1.2kQ, and the capacitor has a reactance of 2002. The circuit has a total current of 172mA RMS. Find the total voltage. O 310V233.7 O 74.5VL-14° 188V273.2 O 44.4VL-25.3°2.14 The current waveforms of la capocitov are avesage peak cursend *atings of 1, =500 A of shown in Fiquse Determine square (rms), and capacitor. Assume, The root mean half sine -wave t = loo us -300 AS t3 Soo Ns f, -250HZ T2 200