9.90 Given the network in Fig. P9.90, determine the input voltage 404 pistoj sluento wwm 0.10 j0.10 Vs + arm Ve 30 kVA 0.9 pf lagging + 40 kW 0.795 pf 240/0° V rms lagging
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- The frequency of the sinusoidal voltage sourcein the circuit is adjusted until the current io is in phase withvg.1. Find the frequency in hertz.2. Find the steady-state expression for ig (at the frequency found in[a]) if vg=90 cosωt V.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?The frequency of the sinusoidal voltage sourcein the circuit is adjusted until ig is in phase with vg.1. What is the value of ω in radians per second?2. If vg=15 cosωt V (where ω is the frequency found in [a]), what isthe steady-state expression for ig?
- 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 expressionv=10 cos (3769.91t−53.13∘) V.Find (a) f in hertz; (b) T in milliseconds; (c) Vm; (d) v(0); (e) ϕ indegrees and radians; (f) the smallest positive value of t at which v=0;and (g) the smallest positive value of t at which dv/dt=0Consider 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?
- A dc voltage equal to Vdc V is applied to a resistor of R Ω. Asinusoidal voltage equal to vs V is also applied to a resistor of R Ω.Show that the dc voltage will deliver the same amount of energy in Tseconds (where T is the period of the sinusoidal voltage) as thesinusoidal voltage provided Vdc equals the rms value of vs. (Hint:Equate the two expressions for the energy delivered to the resistor.)Consider the sinusoidal voltage: v(t) = 125cos (250πt –25°) V. a.What is the maximum amplitude of the voltage? b.What is the frequency in hertz? c.What is the angular frequency in radians per second?Consider the sinusoidal voltage v(t)=100cos(1000nt-65°)V. A. What is the maximum amplitude of the voltage? B. What is the frequency in HERTZ and in RADIANS PER SECOND? C. What is the phase angle in RADIANS and in DEGREES?
- 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?Consider the sinusoidal voltagev(t)=150cos(120πt−60∘)V What is the maximum amplitude of the voltage? What is the frequency in hertz? What is the frequency in radians per second? What is the phase angle in radians? What is the phase angle in degrees? What is the period in milliseconds? What is the first time after t=0 that v= 150 V? The sinusoidal function is shifted 125/18ms125/18ms to the right along the time axis. What is the expression for v(t)? What is the minimum number of milliseconds that the function must be shifted to the left if the expression for v(t) is 150sin(120πt)V?The variable resistor in the circuit shown in Fig. P10.47 is adjusted until maximum average power is delivered to a) What is the value of in ohms? b) Calculate the average power delivered to c) If is replaced with a variable impedance what is the maximum average power that can be delivered to ? d) In (c), what percentage of the circuit’s developed power is delivered to the load Zo?