The voltage across a load and the current through the element is given by: v(t) = 60 cos (wt - 10°) volts i(t) 3D 1.5 cos (wt + 50°) Amps %3D Find: 1. Apparent Power 2. True Power 3. Reactive Power
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- A resistor'R' with resistance value of 24 ohm, an inductor 'L' with inductance 20mH, and a capacitor 'C' with capacitance 50 micro Farrad are connected in series with a AC voltage v(t) where v(t) = 50 cos (2 vt + 30 degrees) v. Determine the current i(t) and total impedance if the frequency f is i. 60 Hz ii. 400HzA parallel connection of a resistor, inductor and capacitor is presented in the figure below. The applied voltage is: u(t)=15square root of 2sin(wt+45deg ),V . The impedances of the elements are: R = 13 Ω, ωL = 41 Ω, 1 /wC= 18 OHMS . Find the currents through the elements, the apparent power S, the active power P and the reactive power Q.A factory has a large induction heater operating at 1000 V, 50Hz. The current flowing intothe heater is 12.33 A RMS and the true power is 10 kW b) Calculate the reactive power, apparent power and the power factor (PF) for this load.c) If the PF is lower than 0.9, explain the problem from an electrical perspective thencalculate how this load could be balanced practically.d) Draw a diagram to illustrate where the capacitor needs to be placed and what hashappened to the reactive current that was originally flowing from the inductive load backto the supplier? What are the specifications for this capacitor? What would such acapacitor cost? Who could supply this type of component?
- The following circuit is powered by a polyharmonic voltage whose expression is: v(t) = 100+141.sin (1000t) + 70.7.sin (2000t) V. It is requested: a) The expression of the instantaneous current.b) Plot the amplitude and phase spectra of the voltage and current.c) The values of the apparent, active, reactive and distortion powers, justifying the resultsA 40 Ω resistor, a 200 μF capacitor and a 269 mH inductor are connected in series across a voltage source represented by: V = 163.34 sin(100t) volts Determine the following: A.) The rms value of current is A. (a) 0.75 (b) 1.5 (c) 2.5 (d) 3.5 B.) The total impedance of the circuit is ohms. a.) 46.19 b.) 54.37 c.) 65.15 d.) 32.65 C.) The real power supplied is watts (a) 144.35 (b) 125 (c) 175.25 (d) 250 D.) The power factor of the circuit is . (a) 0.707 lagging (b) 0.866 leading (c) 0.6 leading (d) 0.5 lagginggiven The sinusoidal current source produces the current 8*cos(20,000t) A. L = 40 uH C = 1 uF R1 = 10 ohms R2 = 5 ohms R3 = 6 ohms a. what is inductor impedance ZL? b. what is capacitor impedance ZC? c. what is admittance Y1 in the branch on the left? d. what is admittance Y2 in the branch in the middle? e. what is admittance Y3 in the branch on the right? f. what is the equivalent admittance to the right of the current source? g. what is the equivalent impedance to the right of the current source? h. what is the source voltage, v? i. what is the phasor current I across the capacitor? Please all subparts in short like it definitely don't reject in shorts please..
- In the circuit shown, the input is the independent source voltage, which is vs (t) = 9.10 cos (3t + 80 °) V. The output is the 5 resistor voltage, denoted by vo (t). Determine the capacitance C and the resistance R that cause the output voltage to be vo (t) = 4.43 cos (3t + 93 °) V.determine the inductive reactance of rlc series ac circuit given the ff: rms current=7.5A voltage=5V resistance=150ohms capacitive resitance=160ohm source average power=2.5WFind the Norton equivalent in the form of phasors and impedances. Suppose Vf = 100∠0˚ Answer: Zn=93/53 + 34/53jIn=400/370 (19+3j)
- In the circuit of fig below Z1 = 65at an angle -75° and Z2 = 35 at an angle 35° calculate the total (a) apparent power b) real power c) reactive power and d) pf, supplied by the source and seen by sourcesUsing the phase shift of 72º from the Experiment, determine the inductance value, L, of the inductor shown. Vr(t) =3.7272 cos(4000 t - 72°) [V]A circuit branch is found to have an equivalent impedance of Z=120−j45Ω. It is given that this impedance is a series combination of a 120Ω resistor and another passive component. If the circuit has a sinusoidal voltage source whose frequency is 120 Hz. What is the value of the component in series with the 120Ω resistor? (Note: Express the value assuming a metric scaling of μ(10-6). Provide your answer in decimal form, up to 3 decimal places.)