For the circuit shown below, R 2 2, L 20 mH, and E-100V. The ac source is 120 V rms at 60 Hz. (a) Determine an expression for the current in the circuit. (b) Determine the power absorbed by the resistor. (c) Determine the power absorbed by the de source. (d) Determine the power supplied by the ac source and the power factor of the circuit.
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A: b)xL=wL=2π×60×10-3 =0.3769ΩZ=0.1+1+j0.3769 =1.1+1+j0.3769…
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- Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor, and a 4 capacitor. (a) Draw the circuit diagram. (b) Compute the series impedance. (C) Determine the current I delivered by the source. Is the current lagging or leading the source voltage? What is the power factor of this circuit?2. Refer to the Figure 2. a) Determine the total impedance of the circuit in polar form. b) Determine the voltage v(t) and current i(t) sinusoidal forms. Sketch one cycle of the waveforms in the same x-axis. Clearly indicating the peak value and the period of each waveform and the phase difference (in milliseconds) between the two waveforms. c) Determine the values of resistance R and inductance L. d) Determine the phasors V,, VR and Vc. e) Sketch the phasor diagram showing Vs, Vr, Vr, Vc and I.1. Instruction: Provide the correct answer. 1. What is the relationship between the supply voltage and circuit current in purely capacitive circuits?. 2. Vm = 100cos(377t + 75°) transform into sine form is a complex number that represents the amplitude and phase of a sinusoid. 3. 4. What is the phase relationship between a supply voltage and current through a purely inductive circuit?. 5. The rms value of the signal is also called the 6. The It is also the cosine of the angle of the load impedance. 7. When Q < 0, the power factor is 8. The process of increasing the power factor without altering the voltage or current to the original load is known as 9. is the cosine of the phase difference between voltage and current. is the measurement to measure average power. 10. What is the meaning of VAR?
- 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…Which of the following is true about all series ac circuits?(a) The voltage across any circuit element is a maximumwhen the current is a maximum in that circuit element.(b) The current at any point in the circuit is always thesame as the current at any other point in the circuit.(c) The current in the circuit is a maximum when thesource ac voltage is a maximum.(d) Resistors, capacitors, and inductors can all change thephase of the current.Q4/ Find the voltage average and the voltage waveform for the output of the circuit shown below. Vi=120v (rms) 2.1kr. V. to
- Draw the sinusoidal waveform of the AC voltage and current for the given loads below. Describe the characteristics of the waveform for each load. A. Pure resistor B. Pure inductor C. Pure capacitor1) Two identical voltage waveforms of difference phase angles are shown in Figure B. Write down the expression of waveforms A and B clearly. HUS Voltage (V) 8 0 K/N B 7: ST otAn AC voltage source and a resistor are connected in series to make up a simple AC circuit. If the source voltage is given by AV = AVmax sin(27ft) and the source frequency is 19.0 Hz, at what time t will the current flowing in this circuit be 61.0% of the peak current? 5.922 X Note that the voltage in this AC circuit is a sine function. Did you use the correct units for the argument of the sine function? ms
- An inductor of 150hms and resistance of 10 Ohms are connected in series to a 230V, 50 Hz ac supply. Determine the active and reactive power and power factor in the circuit.Q4/ Find the voltage average and the voltage waveform for the output of the circuit shown below. V=120v (rms) 2.1ke. V. wwAnother name for the RMS value of current or voltage is ... O the effective value O the exact value O the true value O the reactance value