AC Circuit : For the series RLC circuit shown here, calculate i) impedance, ii) total current, ii) phase angle,
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- 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.ESSAY: Describe what happens to the power in this RLC series circuit as the capacitance decreases. Explain in general terms why the observed change should occur. Understand the effects of basic electrical components on the average power of the system and the concept of power factor. Differentiate between average power and real power.A 220 Ω resistor is in series with an 80 mH inductor. The AC source is 48 at 1 kHz. The power factor is ________. Hint: Draw the circuit and get Vs and Is
- 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 degreesA 15ohms resistor connected in parallel with an impedance of 8 - j2 across an AC source. The entire circuit takes a total average power of 2000 watts. What is the average power in the 15ohms resistor?2. A series RL circuit has voltage and current equations of e = 141.42 sin 2n30t + 141.42 sin 2n90t volts and i = 9.8 sin (2n30t - 30°) + 5.66 sin (2n90t - 60°) amperes. Determine the inductance L. A. 92.5 mH B. 38.3 mH C. 27.22 mH D. 83.49 mH
- 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 complex power for an ac circuit is given as S=5ej(pi/4) VA. What will be the value of the real power and what will be the value of the reactive power?A load is rated at 440V(rms), 7.5A(rms) and 3.3KW when connected to a 50HZ source. Find the load impedance.
- QUESTION 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°A series RC circuit with R=4k ohms and C= 0.40 mF is connected to an AC voltage source e(t)= 100 sin200t. Determine the following: a). The overall power factor ( indicate big leading or lagging) b). The voltage drop across the resistor and the capacitorWhen a resistor is connected across the terminals of an ac generator (117 V) that has a fixed frequency, there is a current of 0.332 A in the resistor. When an inductor is connected across the terminals of the same generator, there is a current of 0.365 A in the inductor. When both the resistor and the inductor are connected in series between the terminals of this generator, what is (a) the impedance of the series combination and (b) the phase angle between the current and the voltage of the generator? Note: The ac current and voltage are rms values and power is an average value unless indicated otherwise. (a) Number (b) Number Buda i Vrms R Irms.R Circuit 1 Units Units Vrms. Irms, L Circuit 2 > L Vrms R www Circuit 3