1. For the following pairs of sinusoids, determine which one leads and by how much. (a) v(t) = 10cos(4t- y0) and i(t) = 4 sin(4t+z0°) (b) i(t)=4cos(377t + x0°) and v₂(t) = -20cos 377t
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- Assume that the current flow through the resistor, IR, is 15 A; the current flow through the inductor, IL is 36 A; and the circuit has an apparent power of 10,803 VA. The frequency of the AC voltage is 60 Hz. ET ER EL IT IR15A IL36A Z R XL VA10,803 P VARSL PF LAssume that the voltage drop across the resistor, ER, is 78 V; the voltage drop across the capacitor, EC, is 104 V; and the circuit has a total impedance, Z, of 20 . The frequency of the AC voltage is 60 Hz. Find the missing values. ET ER78V EC104V IT IR IC Z20 R XC VA P VARSC PF CThe circuit is connected to a 60-Hz line. The apparent power in the circuit is 29.985 VA, and the power factor is 62.5%. The resistor has a voltage drop of 14.993 V, the inductor has an inductive reactance of 60 , and the capacitor has a capacitive reactance of 45 . ETITZVA29.985PF62.5%ER14.993VIRRPELILXL60VARsLLECICXC45VARsCC
- The current in an L-R-C series circuit has amplitude 0.120 Aand angular frequency 8.00 * 103 rad/s, and it has its maximum positivevalue at t = 0. The resistance is 95.0 Ω, the inductance is 6.50 mH,and the capacitance is 0.440 mF. For the resistor, inductor, and capacitor,find (a) the voltage amplitudes and (b) the instantaneous voltages att = 0.305 ms.b) Find the rms current flowing in an AC capacitive circuit when a 4μF capacitor is connected across a 880V, 60Hz supply.The phase angle between the input waveform and the capacitor can then be measured using thefollowing equation, sin(ω t) = sin(2π f t) and θ = 2π f t the difference in the phase angle is, ∆(θ) = 2πf∆t, in radians Resistor = 1 kΩ Capacitor = 100nF Peak voltage (AC Voltage) = 2V Frequency = 1KHz Where ∆θ is the phase difference, ∆t is the time difference and can be found as shown in the image below.What is the Value of the phase shift, ∆(θ) =?
- 1. Transform these sinusoids in to phasors 2.If voltage v= 10cos(100t + 30°) is applied to a 3uF capacitor, calculate the current through the capacitor.A series RLC circuit with L=160mH, C=100F and R=40.0Ω is connected to a sinusoidal voltage e=40.0sinωt volts with ω=200 rad/sec. d) Calculate the total power and reactive volt-amperes taken by the circuit.6. What is the sinusoidal expression of current through circuit contain only capacitor? (Where C=20μF, v=4 sin(1000t+20) V
- When an ac generator with a frequency of 180 Hz and an rms voltage of 36 V is connected to an RC circuit, the rms current is 0.28 A. If the resistance has a value of 54 Ω, what is the value of the capacitance? please sketch the circuitdetermine 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=2.5W45. The average power absorbed by an inductor is zero. Neither True False Either 44. The voltage across and inductor leads the current through it by 90 deg. Neither True Either False 43. At what frequency will the output voltage of a series RL circuit with 1 ohm resistor and 0.25 H inductor be equal to the input voltage? infinity 0 rad/s 1 rad/s 4 rad/s 42. The impedance of a capacitor increases with increasing frequency. False Neither True Depends 41. The imaginary part of impedance is called: Conductance Resistance Admittance Reactance