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PROBLEMS Given in5 cos (400 120%) A, determine the period of he current and the frequency...
1. The current through a 0.1-H coil is provided. Find the sinusoidal expression for the voltage...
1. The current through a 0.1-H coil is provided. Find the sinusoidal expression for the voltage across the coil. Sketch the v and i curves. a. i = 10 sin 377t b. i = 7 sin(377t - 70°) 2. The voltage across a 1-micro F capacitor is provided below. What is the sinusoidal expression for the current? Sketch the v and i curves. v = 30 sin 400t 3. For the following pairs of voltages and currents, determine whether the...
Problem 1 [Maximum Possible Points 34) A power controller is used supply the required power to...
Problem 1 [Maximum Possible Points 34) A power controller is used supply the required power to the load as shown below. The source voltage is vs(t) = 170 cos(3771) V. Assume the resistance of the load is 1092. The load voltage is given by: (1) = 60 + 20 sin(377t - 20°) - 10 sin(1131t+15°) + 3 cos(1885t +40°) - 0.2cos(2639t) i () von Power Controller (1) Figure 1 For this controller determine the following a) DC and RMS of...
2) Given an AC voltage source v(t) i(t) 10v2 cos(2T60t +60°) A, determine the relationship ot...
2) Given an AC voltage source v(t) i(t) 10v2 cos(2T60t +60°) A, determine the relationship ot their phase angles i(t) leads v(t) bydegree (write your solution between -180 and +180 degree). 120V2 cos(2π60t + 30°) V whose current output is 3) Given an AC voltage source v(t) 120v2 cos(2T60t+30°)V whose current output is i(t) = 10V2 cos(2 π60t + 345°) A, determine the relationship of their phase angles: t) lags vit) by degree (write your solution between-180 and 180 degree)
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...
The frequency of the sinusoidal voltage source in the circuit in Figure 1 is adjusted until...
The frequency of the sinusoidal voltage source in the circuit in Figure 1 is adjusted until the current i, is in-phase with v. a) Calculate the value of (f) in Hertz at which both the voltage and current are in phase. b) If vg = 30 cos(2nft) V[where'f' is the frequency obtained in part a ), Determine the steady state expression for current, i, (50/3) kN2 1.2k12 w 50 nF 200 mH Figure 1
2. For the circuit of Fig. the source is sinusoid of 120 Vrms at a frequency...
2. For the circuit of Fig. the source is sinusoid of 120 Vrms at a frequency of 60 Hz. The load resistor is 10 12. a) Draw the waveforms of source voltage, output voltage, output current, semiconductor device voltage and semiconductor device current. b) Calculate the average output voltage. c) Calculate the rms output voltage. d) Calculate the average output current. e) Calculate the power absorbed by the resistor. va + vs = Vm sin (@t) R Figure 1: Question...
1. If v(t)-40V at #300 and t 1ms, determine the mathematical expression for the sinusoidal voltage....
1. If v(t)-40V at #300 and t 1ms, determine the mathematical expression for the sinusoidal voltage. 2. A voltage expression is given as v, (t) -4 sin (2ot +50)V. Find its phase relationship with a, i(t) = 6 sin (20t + 40) b. v(t) 10 coS (20t 40) c. i(t) 3 sin (2ot 30) d. i(t)--3 cos (2ot + 90) 0??
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this ...
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
For Prob 9.5 9.47 In the circuit of Fig 9.54, determine the value of i,Cr If...
For Prob 9.5 9.47 In the circuit of Fig 9.54, determine the value of i,Cr If V.-8/30" V in the circuit of Fig. 959. find l," 9.52 2miH ら(n20 115 cos 2,000, v C Figure 9.59 For Prob. 9.52 Figure 9.54 For Prob. 9.47 9.53 Find I, in the circuit of Fig. 9.60 9.48 Given that v,(,) = 20 sin( 100,-40") in Fig. 9,55. determine i,) 4Ω ML 10 Ω 3052 , tn) ( 10Ω 160 430 V 8Ω Figure...
1. (a) Find the angular velocity of a waveform with a frequency of 600Hz(1) 2KHE (b)...
1. (a) Find the angular velocity of a waveform with a frequency of 600Hz(1) 2KHE (b) Find the frequency and period of sine waves having an angular velocity of () 377rads/s) 8.4 rad/s (c) Find the amplitude and frequency of these waves (1) 10 sin 1000t (11) 0.001 sin 942t. 2. (a) Given V=20 sin a, Determine V at a 1.21 (b) Find the phase relationship between the waveforms of: 1 .-0.2 sin (wt-60) i= 0.1 sin (wt+20) (c) Write...
Problem 1 [Maximum Possible Points 34) A power controller is used supply the required power to the load as shown below. The source voltage is vs(t) = 170 cos(3771) V. Assume the resistance of the load is 1092. The load voltage is given by: (1) = 60 + 20 sin(377t - 20°) - 10 sin(1131t+15°) + 3 cos(1885t +40°) - 0.2cos(2639t) i () von Power Controller (1) Figure 1 For this controller determine the following a) DC and RMS of...
2) Given an AC voltage source v(t) i(t) 10v2 cos(2T60t +60°) A, determine the relationship ot their phase angles i(t) leads v(t) bydegree (write your solution between -180 and +180 degree). 120V2 cos(2π60t + 30°) V whose current output is 3) Given an AC voltage source v(t) 120v2 cos(2T60t+30°)V whose current output is i(t) = 10V2 cos(2 π60t + 345°) A, determine the relationship of their phase angles: t) lags vit) by degree (write your solution between-180 and 180 degree)
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...
The frequency of the sinusoidal voltage source in the circuit in Figure 1 is adjusted until the current i, is in-phase with v. a) Calculate the value of (f) in Hertz at which both the voltage and current are in phase. b) If vg = 30 cos(2nft) V[where'f' is the frequency obtained in part a ), Determine the steady state expression for current, i, (50/3) kN2 1.2k12 w 50 nF 200 mH Figure 1
2. For the circuit of Fig. the source is sinusoid of 120 Vrms at a frequency of 60 Hz. The load resistor is 10 12. a) Draw the waveforms of source voltage, output voltage, output current, semiconductor device voltage and semiconductor device current. b) Calculate the average output voltage. c) Calculate the rms output voltage. d) Calculate the average output current. e) Calculate the power absorbed by the resistor. va + vs = Vm sin (@t) R Figure 1: Question...
1. If v(t)-40V at #300 and t 1ms, determine the mathematical expression for the sinusoidal voltage. 2. A voltage expression is given as v, (t) -4 sin (2ot +50)V. Find its phase relationship with a, i(t) = 6 sin (20t + 40) b. v(t) 10 coS (20t 40) c. i(t) 3 sin (2ot 30) d. i(t)--3 cos (2ot + 90) 0??
(a) Determine the period, amplitude, and frequency of a signal given by, v(t) (120nt). Plot this signal both in the time-domain and frequency domain. (b) For the following square wave v(t), determine if it is a periodic signal, and if yes, what 10 V sin 4. [61 are its amplitude, period T and fundamental frequency f? Why do we need to convert this signal into sine/cosine wave for transmission? 2 o-oims (c) () According to Fourier Theorem, the above signal...
For Prob 9.5 9.47 In the circuit of Fig 9.54, determine the value of i,Cr If V.-8/30" V in the circuit of Fig. 959. find l," 9.52 2miH ら(n20 115 cos 2,000, v C Figure 9.59 For Prob. 9.52 Figure 9.54 For Prob. 9.47 9.53 Find I, in the circuit of Fig. 9.60 9.48 Given that v,(,) = 20 sin( 100,-40") in Fig. 9,55. determine i,) 4Ω ML 10 Ω 3052 , tn) ( 10Ω 160 430 V 8Ω Figure...
1. (a) Find the angular velocity of a waveform with a frequency of 600Hz(1) 2KHE (b) Find the frequency and period of sine waves having an angular velocity of () 377rads/s) 8.4 rad/s (c) Find the amplitude and frequency of these waves (1) 10 sin 1000t (11) 0.001 sin 942t. 2. (a) Given V=20 sin a, Determine V at a 1.21 (b) Find the phase relationship between the waveforms of: 1 .-0.2 sin (wt-60) i= 0.1 sin (wt+20) (c) Write...
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