Z1- 15 ohm, Z2- 8 - j12 are connected in parallel .Total power of the circuit is 2000 watt find the PI and P2

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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Z1- 15 ohm, Z2- 8 - j12 are connected in parallel .Total power of the circuit is 2000 watt find the PI and P2.

Expert Solution
Step 1

Given Zand Z2 are in parallel

Total real power P=2000 watt

Z1=15 ΩR1=15 ΩZ2=8-j12 ΩR2=8 ΩX2=12 Ω

 

Step 2

Zeq=Z1Z2Z1+Z2Zeq=15×(8-j12)15+8-j12Zeq=15×(8-j12)23-j12Converting rectangular form to polar form Zeq=15×14.422-56.3125.942-27.55Zeq=216.33-56.3125.942-27.55Zeq=8.338-28.76Converting the polar form to rectangle formZeq=7.31-j4.01Zeq=Req-jXeqBy comparing Req=7.31 ΩXeq=4.01 ΩReal power P=V2ReqTherefore sustitute the given values2000=V27.31V2=2000×7.31V=14620V=120.91 vReal power taken by Z1 isP1=V2R1P1=120.91215P1=1462015P1=974.66 WattReal power taken by Z2 isP2=V2R2P2=120.9128P2=146208P2=1827.5 Watt                                                         Electrical Engineering homework question answer, step 2, image 1

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