ECE-320 CH02.pdf - Unix.eng.ua.edu

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G. Rizzoni, Principles and Applications of Electrical Engineering Problem solutions, Chapter 2Solution:Problem 2.46Known quantities:Layout of the site shown in Figure P2.46; characteristics of the cables; rated voltage of the generator;electrical characteristics of the engine.Find:The maximum length of a rubber insulated cable with AWG #14 which can be used to connect the motorand the generator.Analysis:The voltage drop due to the cable resistance must not reduce the motor voltage below its minimum ratedvoltage at full load.KVL :d−VR−V+ I+ R+ VRV=110 V −105V=7.103 AMaxGC1R=RGM −FLC 2C1ratedRC1C1G−VIR=R+ V+ VC 2ratedM −MinM −FLM −MinM −Min+ V+ I== 703.9 mΩRC 2M −FL= 0R1= 2Ω8.285 mm[ 703.9 mΩ]C 2= 0= 42.48 m________________________________________________________________________Solution:Problem 2.47Known quantities:Layout of the building shown in Figure P2.47; characteristics of the cables; rated voltage of the generator;total electrical load in the building.Find:The maximum length of a rubber insulated cable with AWG #4 which can be used to connect the source tothe load.Analysis:The voltage drop due to the cable resistance must not reduce the motor voltage below its minimum ratedvoltage at full load.2.36
G. Rizzoni, Principles and Applications of Electrical Engineering Problem solutions, Chapter 2KVL :d−VR−V+ I+ R+ VRV=450 V − 446 V=51.57 AMaxSC1R=RSL−FLC 2C1ratedRC1C1S+ V−VIR=RC 2rated+ VL−FLL−MinL−MinL−Min+ V+ I== 77.6 mΩRC 2L−FLR1= 2Ω0.8153 mmC 2[ 77.6 mΩ]= 0= 0= 47.59 m________________________________________________________________________Solution:Problem 2.48Known quantities:Schematic of the circuit shown in Figure P2.48 withresistances, R1 = 2.2kΩ,R2= 18kΩ, R = 220kΩ,R4= 3. 3kΩ3.Find:The equivalent resistance between A and B.Analysis:Shorting nodes C and D creates a single node to which all four resistors are connected.RRReq1eq2eq= R= R= R12eq1R3R1R3=R + R=[ 2.2 KΩ][ 4.7 KΩ]2.2 + 4.7 KΩ[ 18 KΩ][ 3.3 KΩ]= 1.499 KΩR2R4R4= == 2.789 KΩR2+ R418 + 3.3 KΩ+ R = 1.499 + 2.789 KΩ = 4.288 KΩeq213________________________________________________________________________Solution:Problem 2.49Known quantities:Schematic of the circuit shown in Figure P2.49 with source voltage,R1= 11kΩ,R2= 220kΩ,R3= 6.8kΩ,R4= 0. 22mΩFind:The voltage between nodes A and B.V s= 12V; and resistances,2.37
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ECE-320 CH02.pdf - Unix.eng.ua.edu

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