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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