The current in an a.c. circuit at any time 't' seconds is given by, i = 120 sin (100xt + 0.36) A. Find (i) the rms value of the current, (ii) frequency, (iii) phase angle relative to 120 sin 100nt and (iv) the value of the current when 't' = 8 ms
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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.If the rms phasor of a voltage is given by V=12060 volts, then the corresponding v(t) is given by (a) 1202cos(t+60) (b) 120cos(t+60) (c) 1202sin(t+60)
- 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?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(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.
- Suppose I have two peak phasor voltages, V, = 100245° and V, = 75Z-60°. Circle Your Choices: I. The frequencies associated with the phasors are (0 Hz, 60 Hz, 50 Hz, Unknown). II. The rms value of the first phasor is (100, 70.7, 141, 200) volts. III. If you want to add these two phasors, the frequencies must be (60 Hz, 50 Hz, The same, Integer multiples of a given frequency.)(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 frequency 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. (c) From the measurement process, the circuit generated two different outputs, V,(t) and V,(t) with the same peak voltage. The V,(t) lagging V,(t) by 100°. If V,(t) =150sin(1000t – 40°)V , determine the RMS value and phase angle of.For the phasor diagram in figure 6 express the voltages in sinusoids for a period of 5ms. Im Re )e,=45° e,=20 Vz=10 V2=8 Figure 7 a. Va(t)=. b. V2(t)=. c. What is the rms voltage of V1 = d. What is the rms voltage of V2=_ e. What is the frequency in Hz = f. What is the angular frequency =. In terms of lagging and leading what is the exact phase relationship between V, (t) and V2(t) g.
- An alternating current varying sinusoidally with a frequency of 50Hz has an RMS value of 20A. a. Write down the equation for the instantaneous value b. find the value of (i) at 0.0025 secondAn alternating current varying sinusoidally with a frequency of 50 Hz has anrms value of 20 A.a) Determine the instantaneous value at 0.0025 seconds.b) Determine the instantaneous value, 0.0125 seconds after passingthrough a positive maximum value.c) At what time, measured from a positive maximum value, will theinstantaneous current be 14.14 A?i, (mA) 60 (t) 1 30 50 t (ms) 8 Figure Q4(c)