Homework2.pdf - 10.1 The following sets of values for o and...

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Unformatted text preview: 10.1 The following sets of values for ’o and i pertain to the circuit seen in Fig. 10.1. For each set of values, calculate P and Q and state whether the circuit inside the box is absorbing or delivering (1) average power and (2) magnetizing vars. a) r: = 250 cos(wt + 45°) V, i = 4sin(mr + 60°) A. d) o = 80 cos (out + 120°)V, i = 10 cos(mr + 170°)A. i —I- + 1'} Figure 10.1 A The black box representation of a circuit used for calculating power. 10.4 A load consisting of a 480 Q resistor in parallel with a (5/ 9) uF capacitor is connected across the terminals of a sinusoidal voltage source ’03, where ’Ug = 240 cos SOODI V. a) What is the peak value of the instantaneous power delivered by the source? b) What is the peak value of the instantaneous power absorbed by the source? c) What is the average power delivered to the load? d) What is the reactive power delivered to the load? 6) Does the load absorb or generate magnetiz- ing vars? f) What is the power factor of the load? g) What is the reactive factor of the load? 10.8 a) Calculate the real and reactive power associated with each circuit element in the circuit in Fig. P9.63. b) Verify that the average power generated equals the average power absorbed. c) Verify that the magnetizing vars generated equal the magnetizing vars absorbed. Figure P9.63 625 HP 4009 10.12 Find the rms value of the periodic current shown in Fig. P1012. Figure P10.12 i (A) 20 0 20 40 60 so 100 : (ms) 10.14 a) Find the rms value of the periodic voltage shown in Fig. P1014. b) Suppose the voltage in part (a) is applied to the terminals of a 40 fl resistor. Calculate the aver— age power dissipated by the resistor. c) When the voltage in part (a) is applied to a dif- ferent resistor, that resistor dissipates 10 mW of average power. What is the value of the resistor? Figure ”0.14 10.15 a) Find the rms value of the periodic voltage shown in Fig. P1015. b) If this voltage is applied to the terminals of a 40 resistor, what is the average power dissi— pated in the resistor? Figure No.15 BIC. U 25 50 75 100 125 150 175 200 t(,us) —10 —20 ...
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  • Fall '09
  • Power, Average Power, rms value

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