4. For the following circuit, find: a. The inductance value in Henrys and the capacitance value in Farads (f = 60 Hz). b. Iy and Vx in time-domain. (Use node-voltage analysis technique) 10 12/30° V -10 46 902 www 4/0° A f=60Hz Vx j1 a m
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- The rms value of v(t)=Vmaxcos(t+) is given by a. Vmax b. Vmax/2 c. 2Vmax d. 2Vmax(a) Transform v(t)=75cos(377t15) to phasor form. Comment on whether =377 appears in your answer. (b) Transform V=5010 to instantaneous form. Assume that =377. (c) Add the two sinusoidal functions a(t) and b(t) of the same frequency given as follows: a(t)=A2cos(t+) and b(t)=B2cos(t+). Use phasor methods and obtain the resultant c(t). Does the resultant have the same frequency?An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8 lagging from a 220-V,60-Hz, single-phase source. By placing a bank of capacitors in parallel with the load, the resultant power factor is to be raised to 0.95 lagging. Find the net capacitance of the capacitor bank in F that is required.
- 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 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 capacitorAn electrical circuit with a sinusoidal voltage source, a resistor, and a capacitor all connected in series. The voltage across the capacitor: Select one: a. Leads the current in the capacitor by exactly 90o b. Is in phase with the sinusoidal voltage source c. Is in phase with the voltage across the resistor d. Leads the current in the circuit by 90o e. Lags the current in the circuit by 90o
- What impedance vector (0- j15) Ohms represents:A. A pure resistance. C. A pure capacitance.B. A pure inductance. D. An inductance combined with a capacitance.Questions 16 to 20 (Write True or False) A16 A larger inductor produces a smaller rate of change of current. A17 KVL states that E IR + E EMF = 0 for any open circuits. A18 For a sine waveform, the value of form factor is 1.414. A19 In a purely inductive circuit, the current lags the voltage by II/4 rads. In an ideal transformer, the rate of change of flux is the same for both primary A20 and secondary.An inductor, a capacitor, and a resistor are connected in parallel with a function generator. The inductor draws 100mA RMS, the capacitor draws 150mA RMS, and the resistor draws 200mA RMS. Find the magnitude of the total current.
- What is the value of capacitance if the capacitive reactance is 50 Q .Assume frequency of supply as 50 Hz ? a. 53.3x10-5 F O b. 5.3x10-5 F c. 6.36x10-5 E d. 63.3x10-5 FA 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 IsShown 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…