An alternating current varying sinusoidally, with a frequency of 50 Hz has an rms value of 20 A. Write down the equation for the instantaneous value and find this value at (a) 0.0025 s, and (b) 0.0125 s after passing through a positive maximum value. At (a) 0.0025 s, and (b) 0.0125 s after passing through a positive maximum value. At what time, measured from a positive maximum value, will the instantaneous current be 14.14 A?

An alternating current varying sinusoidally, with a frequency of 50 Hz has an rms value of 20 A. Write down the equation for the instantaneous value and find this value at (a) 0.0025 s, and (b) 0.0125 s after passing through a positive maximum value. At (a) 0.0025 s, and (b) 0.0125 s after passing through a positive maximum value. At what time, measured from a positive maximum value, will the instantaneous current be 14.14 A?

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter2: Fundamentals

Section: Chapter Questions

Problem 2.27P: An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8...

See similar textbooks

Similar questions

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.
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?
(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.
The rms value of the voltage in a 60 cycle circuit is 115 volts. write the equation for the sinusoidal wave
An 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?
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 second
What is the average of A. a sine function over one cycle? Justify this mathematically. B. the square of a sine function over one cycle? Justify this!
Determine the rms value for the waveform
Determine the rms value for each of the waveforms below.
(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.
An alternating current varying sinusoidally with a freq. of 50 c/s. has a r.m.s. value of 35 A. Write down the equation for the instantaneous value and find this value at (i) 0.0035 sec. (ii) 0.0135 sec. after passing through a positive max. value.
The voltage waveform during the first half cycle are from t = 0 to t = 0.01 increases linearly from 50 to 100 V and during the remaining half cycle from -50 to –100 V. Determine the rms value of the voltage.