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The instantaneous voltage across a circuit element is
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Chapter 2 Solutions
MindTap Engineering, 1 term (6 months) Printed Access Card for Glover/Overbye/Sarma's Power System Analysis and Design, 6th
- Find the RMS value of the waveform depicted below. Given A = 5, a = 2, b = 6, and T = 13 Hint: You will probably want to express the waveform as a piecewise function. A www a+b T 2T t=a t=b 0 tarrow_forwardThe equations of the currents in two parallel- connected electric devices are İz=11.3(sin377+90°) and iz=8.5sin(377t -90°). What is the rms value of the resultant current?arrow_forwardIn a clean sheet of paper. Answer the following and upload your answers here. Please be sure that all answers were rounded off into two decimal places. All answers must be boxed as well, otherwise will be marked incorrect. Express these sinusoids as phasors" 1. v 7 cos (2t+40) 2. i 4 sin(10t + 10) Given the sinusoid, calculate its amplitude, phase. angluar frequency, period and frequency. 3.5 sin (4t-60°)arrow_forward
- A 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 laggingarrow_forward1. Convert the following to the corresponding to rectangular, phasor, and sinusoidal equivalents to fill in the table. Unless otherwise specified, consider the frequency to be 60HZ. Magnitudes of phasors are not RMS values. Rectangular Form -5+j Phasor Form Time-Domain Function 10 cos (20t + 50°) 120°arrow_forwardProblem 53: Express the following in phasor form (in the rms sense). a. 20 sin (377t – 180°) b. 6 x 10-6 cos wt c. 3.6 x 10- cos (754t – 20°)arrow_forward
- R + Vs Calculate the magnitude of the steady state current i(t) for the values Vs = Vmcos (wt + p) Vт 3D 200V w = 5000 rad/s P = 10° R = 40N L = 8mH C = 2µFarrow_forwardTransform the sinusoids corresponding to phasors : (i) V = 50Z- 50° V (ii) V = – 204110 V (iii) I = j(10+ j 5) Aarrow_forward= 960 N 60 Hz R = 490 N ell X = 230 0 The 60-Hz ac source of a series circuit has a voltage amplitude of 120 V. The resistance, capacitive reactance, and inductive reactance are as shown in the figure. What is the rms current in the circuit? * Aarrow_forward
- An Alternating voltage wave is given by V(wt)=(314t - 0.25)v find: 1- The Rms Vlaue 2-The Avrage Vlaue 3-The Perodic time 4-The instantaneous voltage when t=4 (ms) 5-The time when the voltage is first maximum Please solve the first and second requirements using the laws of integrationarrow_forwardThe instantaneous value of voltage in an a.c. circuit at any time t seconds is given by v = 100 sin (50zt -0.523)V. Find (a) the phase angle (b) the voltage when t=8ms (c) the time in the first eycle when the voltage is 60V.arrow_forwardA voltage waveform is given in volts as: v(t) = 0.06 sin (6500t-61⁰) 1. Calculate the RMS value of this voltage waveform. 2. Determine the dc value of its half-rectified form. 3. Express this voltage as a phasor in polar form. 4. Determine the frequency AND the time period of this voltage waveform. 5. Sketch this voltage waveform using degrees as horizontal axis.arrow_forward
- Power System Analysis and Design (MindTap Course ...Electrical EngineeringISBN:9781305632134Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. SarmaPublisher:Cengage Learning