1) What is the frequency of the following current in radians/sec and hertz? i(t) = 36...
1) What is the frequency of the following current in radians/sec and hertz?
i(t) = 36 cos(700πt + 45°) mA
2) What is the phase angle of the following voltage in radians/sec and hertz? Does this phase shift represent a lead or lag. Why?
v(t) = 50 cos(3000t - 40°) V
3) What is the frequency of the following current in radians/sec and hertz? What is the phase angle? Is it lead or lag?
i(t) = 0.2 cos(500πt + 45°) A
4) What is the value of the following current at 2 seconds?
i(t) = 36 cos(4πt + 45°) mA
5) Using MATLAB or Octave, covert the expressions in 1) through 4) to the complex cartesian equivalent. Use screen captures, with the Snipping Tool for example, to cut and paste your work into a Word Document.
Homework Answers
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1) What is the frequency of the following current in radians/sec
and hertz?
i(t) = 36...
Problem 2. Consider the sinusoidal voltage given by v(t) = 25 cos(400nt + 60°) V. a....
Problem 2. Consider the sinusoidal voltage given by v(t) = 25 cos(400nt + 60°) V. a. What is the maximum amplitude of the voltage? b. What is the frequency in hertz? c. What is the frequency in radians per seconds? d. What is the phase angle in radians? e. What is the phase angle in degrees? f. What is the period in milliseconds? g. What is the first time after t=0 that v=0?
GRADE = 2/10 Part #1 (2/10) For the circuit shown below, find the frequency in Hertz...
GRADE = 2/10 Part #1 (2/10) For the circuit shown below, find the frequency in Hertz (H), so that the current is in phase with the applied voltage (in other words, that the phase angle of the current is 100) 562 7 mH W- 10 cos wt v 202 87F f. 2040 82Hz Value is wrong: units are sensible SUBMIT
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a)...
1. (i) In a circuit, the voltage is given by: Vs (t) 12 cos(50t10) V (a) What is the amplitude of the voltage? (b) What is the phase of the voltage? (c) What is the angular frequency (radians/sec.) of the voltage? (d) What is the frequency (in cycles/sec.) of the voltage? (e) Determine vs (t) at time t 2.5ms (ii) Given v1(t)cos(50t 50°) V and v2(t) 12 sin(50t 10°) V, determine the phase angle between the two sinusoids and determine...
PROBLEMS Given in5 cos (400 120%) A, determine the period of he current and the frequency...
PROBLEMS Given in5 cos (400 120%) A, determine the period of he current and the frequency in Hertz. s galculate the current in the resistor in Fig. P8.S if the voltage input is (a) (0)-10 cos (3771 +180°%) V (b) 00 12 sin (377t +45) V Give the answers in both the time and frequency domains 8.2/Determine the relative phase relationship of the two waves ana M(010 cos (377t- 30) v n)10 cos (3771 +90*) v e.9) Given the following...
(1 point) The graph shows the displacement from equilibrium of a mass-spring system as a function...
(1 point) The graph shows the displacement from equilibrium of a mass-spring system as a function of time after the vertically hanging system was set in motion at time t0. Assume that the units of time are seconds, and the units of displacement are centimeters. The first t-intercept is (0.75, 0) and the first minimum has coordinates (1.25,-1) (a) What is the period T of the periodic motion? seconds (b) What is the frequency f in Hertz? What is the...
Please show all work. 1. A sinusoidal current is given by the expression i(t) = 50...
Please show all work.
1. A sinusoidal current is given by the expression i(t) = 50 cos(100t + 48°) Find following parameters. (35pts) a. fin hertz; b. Tin milliseconds; C. Peak current; d. Peak-Peak current; e. i(0); f. Q in degrees and radians;
8. A second order lag process has a resonant frequency, (o, of 10 rad/sec, a damping ratio of 0.1, and a steady state gain, G, of 1. Use the Bode diagram in figure given to determine the gain, m,...
8. A second order lag process has a resonant frequency, (o, of 10 rad/sec, a damping ratio of 0.1, and a steady state gain, G, of 1. Use the Bode diagram in figure given to determine the gain, m, in decibel, and the phase angle B, in degrees for the following values of the radiant frequency. Convert your decibel gain values, m, to ordinary gain values, g. (a) 0.1 rad/s, (b) 10 rad/s. 20 10 ζ-0.5 2.0 10 () ζ-20.0...
Consider the sinusoidal voltage v (t) = 40 cos (100t+60°) V. Part A Part D Part...
Consider the sinusoidal voltage v (t) = 40 cos (100t+60°) V. Part A Part D Part G What is the maximum amplitude of the voltage? Express your answer to three significant figures and include the appropriate units. What is the phase angle in radians? Express your answer in radians to three significant figures. What is the first time after t=0 that v=-40V? Express your answer to three significant figures and include the appropriate units. ? TO AD U veca o...
Q2 The output signal of an angle modulator is given as V(t) = 6 cos(2000000net +...
Q2 The output signal of an angle modulator is given as V(t) = 6 cos(2000000net + 40 cos(2000xt) + 15cos (400nt)) (v) Determine the following: The average power of the signal. b) The carrier frequency of the signal. The instantaneous frequency of the signal. d) The instantaneous maximum frequency deviation of the signal. e) The wavefom of the message signal, assuming a frequency modulation (FM). f) The modulation index, assuming a FM. Is it a broadband FM or narrowband FM...
What is the phase relationship between the voltage v(t) = 65 sin(or - 45') and current...
What is the phase relationship between the voltage v(t) = 65 sin(or - 45') and current i(t) = 20 sin( +90°)? i(t) lags v(t) by 0 = (note: 0 is a positive or negative angle in degrees)
Problem 2. Consider the sinusoidal voltage given by v(t) = 25 cos(400nt + 60°) V. a. What is the maximum amplitude of the voltage? b. What is the frequency in hertz? c. What is the frequency in radians per seconds? d. What is the phase angle in radians? e. What is the phase angle in degrees? f. What is the period in milliseconds? g. What is the first time after t=0 that v=0?
GRADE = 2/10 Part #1 (2/10) For the circuit shown below, find the frequency in Hertz (H), so that the current is in phase with the applied voltage (in other words, that the phase angle of the current is 100) 562 7 mH W- 10 cos wt v 202 87F f. 2040 82Hz Value is wrong: units are sensible SUBMIT
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PROBLEMS Given in5 cos (400 120%) A, determine the period of he current and the frequency in Hertz. s galculate the current in the resistor in Fig. P8.S if the voltage input is (a) (0)-10 cos (3771 +180°%) V (b) 00 12 sin (377t +45) V Give the answers in both the time and frequency domains 8.2/Determine the relative phase relationship of the two waves ana M(010 cos (377t- 30) v n)10 cos (3771 +90*) v e.9) Given the following...
(1 point) The graph shows the displacement from equilibrium of a mass-spring system as a function of time after the vertically hanging system was set in motion at time t0. Assume that the units of time are seconds, and the units of displacement are centimeters. The first t-intercept is (0.75, 0) and the first minimum has coordinates (1.25,-1) (a) What is the period T of the periodic motion? seconds (b) What is the frequency f in Hertz? What is the...
Please show all work.
1. A sinusoidal current is given by the expression i(t) = 50 cos(100t + 48°) Find following parameters. (35pts) a. fin hertz; b. Tin milliseconds; C. Peak current; d. Peak-Peak current; e. i(0); f. Q in degrees and radians;
8. A second order lag process has a resonant frequency, (o, of 10 rad/sec, a damping ratio of 0.1, and a steady state gain, G, of 1. Use the Bode diagram in figure given to determine the gain, m, in decibel, and the phase angle B, in degrees for the following values of the radiant frequency. Convert your decibel gain values, m, to ordinary gain values, g. (a) 0.1 rad/s, (b) 10 rad/s. 20 10 ζ-0.5 2.0 10 () ζ-20.0...
Consider the sinusoidal voltage v (t) = 40 cos (100t+60°) V. Part A Part D Part G What is the maximum amplitude of the voltage? Express your answer to three significant figures and include the appropriate units. What is the phase angle in radians? Express your answer in radians to three significant figures. What is the first time after t=0 that v=-40V? Express your answer to three significant figures and include the appropriate units. ? TO AD U veca o...
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What is the phase relationship between the voltage v(t) = 65 sin(or - 45') and current i(t) = 20 sin( +90°)? i(t) lags v(t) by 0 = (note: 0 is a positive or negative angle in degrees)
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