Image text transcribed for accessibility: What value of capacitance must be added in parallel to the 10 Ohm resistor of Fig 11.44 increase the PF of the source to 0.95 at 50 Hz? The kiln operation of a local lumberyard has a monthly average power demand of 175 kW, but associated with that is an average monthly reactive power draw of 205 kVAR. If the lumberyard's utility company charges $0.15 per kVAR for each kVAR above the benchmark value (0.7 times the peak average power demand), (a) estimate the annual cost to the lumberyard from PF penalties; (b) calculate the money saved in the first and second years, respectively, if 100 kVAR compensation capacitors are available for purchase at $75 each (installed). Calculate the complex power delivered to each passive component of the circuit shown in Fig. 11.45, and determine the power factor of the source. Figure 11.45 Replace the 10 Ohm resistor in the circuit of Fig. 11.45 with a 200 mH inductor, assume an operating frequency of 10 rad/s, and calculate (a) the PF of the source; (b) the apparent power supplied by the source; (c) the reactive power delivered by the source. Instead of including a capacitor as indicated in Fig. 11.45, the circuit is erroneously constructed using two identical inductors, each having an impedance of j30 W at the operating frequency of 50 Hz. (a) Compute the complex power delivered to each passive component, (b) Verify your solution by calculating toe complex power supplied by the source, (c) At what power factor is the source operating? Making use of the general strategy employed in Example 11.9, derive Eq. [28], which enables the corrective value of capacitance to be calculated for a operating frequency. A load is drawing 10 A rms when connected to a 1200 V rms supply running at 50 Hz. If the source is operating at a lagging PF of 0.9, calculate (a) the peak voltage magnitude; (b) the instantaneous power absorbed by the load at, t = 1 ms; (c)the apparent power supplied by the source; (d) the reactive power supplied to the load; (e) the load impedance; and (f) the complex power supplied by the source (in Polar form). For the circuit of Fig. 11.46, assume the source operates at a frequency of 100 rad/s, (a) Determine the PF at which the source is operating. (b) Calculate the apparent power absorbed by each of the three passive elements. (c) Compute the average power supplied by the source. (d) Determine the

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