HW13 - “.12 The three loads in the circuit seen in Fig...

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Unformatted text preview: “.12 The three loads in the circuit seen in Fig. P1022 are described as follows: Load 1 is absorbing 7.5 kw and zson VAR; load 2 is absorbing 10 IrVA at a 11.23 pf lead; load 3 is :1 12.5411 resistor in parallel with an inductor that has a reactance of 5D 11. a} Calculate the average power and the magnetic ing reactive power delivered by each source if 1v£1 = ‘qu2 = sang 1trot-Inns}. b} Check your calculations by showing your results are consistent with the requirements Epikv = 2P1]: Egav = 29“- Fiqurl ”0.22 111.24 The three loads in the circuit shown in Fig. P1fl24 are s, = 5 + 1125 We, as = 6.25 + as kve, andSa = s +,rn ave a] Calculate the complex power associated with IIEl] voltage source, V3.1 and V31. b] 1«Fecrify that the total real and reactive power delivered by the sources equals the total real and reactive power absorbed by the network. Film: P10. 2i 10.29 a] Find the average power dissipated in the line in Fig. Haze. b] Find the capacitive reactance that when con— nected in parallel with the load will make the load look purely resistive c} What is the equivalent impedance of the load in {b}? d] Find the average power dissipated in the line when the capacitive reactance is connected acrnssthe load. e] Express the power loss in {d} as a percentage of the power loss found in [a]. F'iuurl Hill! I so I3 11 ' 11D fl 4551!]: Vfrcns] i911“ Swrm—+—Lhe—-+-—Load “.32 A factory has an electrical load of 1600 kw at a lag- ging power factor of as. An additional variable power factor load is to be added to the factory. The new load will add 32D kw to the real power load of the factory The power factor of the added load is to be adjusted so that the overall power factor of the factory is D36 laging. a} Specify the reactive power associated with the added load. b} Does the added load absorb or deliver magnet- izing vars? c] what is the power factor of the additional load? d} Assume that the voltage at the input to the fac- tory is 2410!] V {fins}. what is the rms magnitude of the current into the factory before the vari— able power tactor load is added? e} what is the rms magnitude of the current into the factory after the variable power factor load has been added? “.47 The peak amplitude of the sinusoidal voltage PEEL HULTJEH I'M-5| source in the circuit shown in Fig. P104? is 130 V, and its frequency.r is XIII radfs. The load resistor can be varied from D to 40]) fl, and the load capac— itor can be varied from 0.1 pF to {1.5 pF. a} Calculate the average power delivered to the load when Ra = 211K] [1 and CE = (1.2 pF. b} Determine the settings of 1%.,I and C... that will result in the most average power being transr ferred to En. c] What is the most average power in {b}? Is it greater than the power in [a]? d} It there are no constraints on .i'tfl and Ca, what is the maximum average power that can be deliv~ ered to a load? e} What are the values of Ru and Ca tor the condi— tion of {d}? I} Is the average power calculated in {:1} larger than that calculated in {c}? Figure P111.“ IS In 13.6 H The variable resistor in the circuit shown in Fig. P1l].49 is adjusted until the average power it absorbs is maximum. a} Find R. b} Find the maximum average power. 4;) Find a resistor in Appendix H that would have the most average power delivered to it. Fiym Pill-W 5 fl —j18 fl. sun Ififlfl 111.5“ The variable resistor R5 in the circuit shown in Fig. P1D.5fl is adjusted until maximtuu average power is delivered to R5. a) What is the value of R, in ohms? b] Calculate the average power delivered to R5. c} If RE is replaced with a variable impedance 39, what is the maximum average power that can be delivered to 2,]? d] In (o), what peroeutage of the Circuit’s devel— oped power is delivered to the load 25'? Fiflfll Pithsfl E 10 511 ...
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