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Fredxxx Fredxxx is offline
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Default Simple maths challenge for Electricians

On 20/12/2015 22:20, polygonum wrote:
On 20/12/2015 21:50, Fredxxx wrote:
On 20/12/2015 16:39, Cursitor Doom wrote:
A power company generates 100kW to supply an industrial load of 94kW.
The
transmission line has a resistance of 0.09 ohms. If the power factor is
0.83 lagging, what is Vl?


Power Factor is true power / apparent power (Lagging or leading
shouldn't matter)

I = 100kw / (0.83 x Vs) = 94kW / (0.83 x Vl)

Vl = Vs - I * 0.09

Vs = Vl x 100kW/94kW

Vl = Vl x 100kW/94kW - 94kW / (0.83 x V1)

0 = Vl x 6/94 - 1/V1 x 113kW

0 = V1^2 - 106457

Vl = 326
------------

Double check:
I = 347; IR = 31.2V

Vs = 347

I'd love to see why some are saying 6V. I = 18875A; R losses 32MW!!


How can a 100kW generation supply end up losing 32MW?


Rolls eyes That was the point I was trying to get across, obviously
not very well! /Rolls eyes