17 If i(t) = 0.5 cos 2000t A, find the average power absorbed b each element in the circuit in Fig. P9.17. ig(t) ww 40 Ω 12Ο Ω 12.5 μF 60 mH
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- A linear circuit supplied by a nonsinusoidal source is shown. Find the average power absorbed by the circuit if the source voltage is expressed as vs(t)=100+50 cos(120лt)+25 cos(240πt)+15 cos(360πt).A sinusoidal voltage is given by the expression v=300 cos(120πt+30∘) V.1. What is the period of the voltage in milliseconds?2. What is the frequency in hertz?3. What is the magnitude of v at t=2.778 ms?4. What is the rms value of v?The voltage (in Volts) across an element is given as v(t)= 50 cos(6ft +24.7°) whereas the current (in Amps) though the element is i(t) = - 20 sin(6ft +55°); where time, t is the time and f is the frequency in seconds and Hertz respectively. Determine the phase angle between the two harmonic functions
- The rms value of the sinusoidal voltage supplied to the convenienceoutlet of a home in the United States is 120 V. What is the maximumvalue of the voltage at the outlet?In a AC voltage waveform: v(t) = 170 cos( 60*2*pi*t +pi/2) volts. Note: the given cosine function is in radians. a.) Find the frequency of v(t) in Hertz? b.) Find the phase shift of v(t) in degrees from x(t) = cos(60*2*pi*t) ? c.) Find the root-mean squared magnitude of the waveform, v(t)? d) Is v(t) lagging or leading x(t)= cos(60*2*p*t)?the average power of a load is 3.37 kW with a leading power factor of 0.835. the magnitude of the rms voltage accross the load is given by |Vrms| = 450 V. If the frequency is assumed to be 60 Hz, calculate the apparent power, reactive power, impendance and the value of the capacitor in the circuit.
- Consider the sinusoidal voltagev(t)=40 cos(100πt+60∘) V.1. What is the maximum amplitude of the voltage?2. What is the frequency in hertz?3. What is the frequency in radians per second?4. What is the phase angle in radians?5. What is the phase angle in degrees?6. What is the period in milliseconds?7. What is the first time after t=0 that v=−40 V?8. The sinusoidal function is shifted 10/3 ms to the right along thetime axis. What is the expression for v(t)?9. What is the minimum number of milliseconds that the functionmust be shifted to the left if the expression for v(t) is40 sin 100πt V?An audio power amplifier delivers a 30 volt RMS 1 kHz sine to a loudspeaker. If the loudspeaker impedance at this frequency is 7 at 45°, determine the RMS current delivered to the load and the true power.The values of the parameters in the circuit shown are L1=8 mH; L2=2 mH; k=0.75; Rg=1 Ω; and RL=7 Ω. Ifvg=542 cos 1000t V, find 1. a) the rms magnitude of vo;2. b) the average power delivered to RL;3. c) the percentage of the average power generated by the idealvoltage source that is delivered to RL.
- The voltage (in Volts) across an element is given as v(t) = 50 cos (6ft + 21°) whereas the current (in Amps) through the element is i(t) = -20 sin (6ft +46.1°); where time, t is the time and f is the frequency in seconds and Hertz respectively. Determine the phase angle between the two harmonic functions.Communication Systems Consider the signal w(t) = 6cos(8pt) + 2cos(4pt) Calculate the rms value Wrms and the normalized average power Pw of the signal. Find and plot the power spectral density Pw (f ) of the signal. Find the autocorrelation function of w(t) [Hint: 2cos x cos y = cos(x + y) + cos(x - y) ; 2cos2 x = (1+ cos 2x) ]20 ohm in a system with a temperature of 280 Kelvin and a bandwidth of 200 MHz. The average value and the RMS value of the noise voltage that will occur in a resistor for microwave frequencies. calculate. Note: The Boltzmann constant should be used as k = 1.380x10 ^ -23 Joules / Kelvin.