Engineering Problem about Sinusoidal Circuits

AI Thread Summary
The discussion revolves around a homework problem related to sinusoidal circuits, specifically involving a 60 Hz system with appliances requiring 20kVA at a 0.85 power factor. Key questions include determining the rms voltage at the source end of the feeder, average power loss, and the size of a capacitor needed to achieve a unity power factor. The user has calculated the conjugate current and phase angle but is struggling with the overall solution and circuit schematic. Assistance is requested to clarify these calculations and complete the problem before the submission deadline. The thread highlights the importance of understanding feeder impedance in circuit analysis.
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hey everybody
how are you ?
hope everyone's fine
well , i have this problem related to electrical circuits

Homework Statement



A group of small appliances on a 60 Hz system requires 20kVA at 0.85 pf
lagging when operated at 120 V (rms). The impedance of the feeder
supplying the appliances is 0.01 + j0.08Ω. The voltage at the load end of
the feeder is 120 V.

Homework Equations



1. What is the rms magnitude of the voltage at the source end of the feeder?
2. What is the average power loss in the feeder?
3. What size capacitor (in microfarads) at the load end of the feeder is
needed to improve the load power factor to unity?
4. After the capacitor is installed, what is the rms magnitude of the voltage
at the source end of the feeder if the load voltage is maintainedDW V?
5. What is the average power loss in the feeder for part (d)?

The Attempt at a Solution


well , since the problem gives us the complex power (20000 VA ) and the Voltage , i can get the conjugate current which equals to 166,6 and the phase angle i can get it from the power factor (0.8) .. that is what i know ..
please if you can help me out here i will be appreciated
 
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Draw a circuit which includes the feeder impedance since the power factor and voltage are given at this point, not at the ideal generator.

If you don't see why this is needed, let me say that the ideal voltage source is slightly higher than 120 volts. If it's not obvious why, then you need the schematic.
 
i still have problems how to solve it

any help
i have to submit it tomorrow >> please help me out
 
It would be nice to see this thread completed, even if the homework is already past due.
 

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