Suppose the current passing through a resistor can be described by 1(t)=10sint. where I represents thetime-dependent current in amperes and t represents time in seconds. Establish the mean and rms values ofcurrent over a time from o to t, with t, = n and then with t,= 27. How do the results relate to the power dissipatedin the resistor?Graph for 10 sin(t)АЛА

Given data Current expression; I=10 sint To find out Mean and RMS value of current from 0 to tf when…

Answered: Suppose the current passing through 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 2.1MCQ: The rms value of v(t)=Vmaxcos(t+) is given by a. Vmax b. Vmax/2 c. 2Vmax d. 2Vmax

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Calculate the root-mean-square (rms) value of the current whose waveform is given below. The parameters are as follows: Im = 3 A, T = 10 s. State your result in Amperes (A). Im -T 27
Q2. For the circuit shown below, sketch the current waveforms is and io and determine the Average and RMS for both currents. a = 50° T1 50 2 ot Vs = 300 sin 100rt T2 ot
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.
1. Derive the formula for the RMS value for the following a) tespe RSITY SAIN
The expression T I = i²(t)dt VT defines: Select one: 1. RMS value of the current 2. Average value of the current 3. Peak value of the current
2. a) An alternating current varying sinusoidally with a frequency of 50HZ has an RMS value of 20A. Write down the equation for the instantaneous value at 0.0025 second. In addition, find the time measured from a positive maximum value, will the instantaneous current be 14.14A? b) Assume that all lamps are identical. In this condition from your opinion which lamp(s) having more brightness, and which Lamb(s) will be low brightness as shown in figure2. A В E Figure 2 c) The resistance of the wire used for telephone is 35N per kilometer when the weight of the wire is 10kg per kilometer. If the specific resistance of the material is 1.95 x 10-82 – m. I. What is the cross-sectional area of the wire? I. What will be the resistance of a loop to a subscriber 8km from the exchange if wire of the same material but weighing 20kg per kilometer is used?
a) Write down the expression of instantaneous voltage for an AC voltage having a Peak value of 220 Volts and a frequency of 50 Hz provided at time t=0, the instantaneous voltage is 220 Volts. What is the instantaneous voltage of the source at time “t = 5 seconds” What is its RMS voltage? b) Two 200Ω resistances are connected in series with one 0.5 H Inductance and two 100μF Capacitance with the power supply of part (a). (i)Draw the circuit diagram of the above network (ii)What is the total impedance of the circuit (iii)What is the max current that flows through the Inductance? (iv)What is the max current that flows through each of the Capacitance? (v)What is the power dissipated in the circuit (vi)What is the power factor of the circuit (vii)What is the resonance frequency of the circuit? (viii) What is the maximum power dissipated by the circuit when it is in resonance
Given the circuit shown, answer the following questions 1 40 I U8 VS-24/60° V (+ one of the following statements is correct: Choose... Choose... 12 in Ampere equals to: 2.65-j0.54 the equivalent impedance in Ohm of the circuit is 7+j1.88 12 leads Vs by 60° 12 lags Vs by 71.58° -0.47+j1.75 12 leads Vs by 71.58° 12 leads Vs by 11.58° 3.26+j15.93 12 lags Vs by 11.58° 2.18+j1.21 8.24+j4.94 V2 in Volts equals to: m13-4-2021 Jump to...
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?
Find the RMS value of V)-100 sin(377t+76) V
A sinusoidal alternating voltage has an r.m.s. value of200 V and a frequency of 50 Hz. It crosses the zero axis in apositive direction when t = 0. Determine (i) the time when volt-age first reaches the instantaneous value of 200 V and (ii) thetime when voltage after passing through its maximum positivevalue reaches the value of 141.4 V.
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

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