Consider the circuit shown in the given figure. (Given: A = 4.000.) 10 Ω ww 1 H 2 cos 101 V 5H 3H ΑΩ • Find the average power absorbed by the mutual inductance. The value of P is W.
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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?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 "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…
- 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.7 Find the average and effective values of voltage for sinusoidal waveform shown in Figure. Vm = 100 V 2x x14 9714 [Ans: 27.17 V, 47. 67 V]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
- 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 wwAn 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? msAn inductor of value 5.6 H is connected across 240 V, 109 Hz supply. Then the value of inductive reactance is ohms. 7666.62 1220.80 1916.66 3836.80
- (b) An engineer is required to analyse a sinusoidal waveform for the voltage and current using oscilloscope. The voltage waveform produced Root Mean Square (RMS) value at 75 V with positive-going zero crossing at 30°. While the RMS value of current is 66.71 A with negative-going zero crossing at 0.349 rad. Assume the frequeney of both waveforms is 50 Hz. (i) Sketch the voltage and current waveform in the same axis by showing the important point. (ii) Determine instantaneous voltage when t = 8ms . (iii) Determine phase relationship between voltage and current waveform.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?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 factor