Fundamentals ofElectric circuits

[Kokuson]

1. The problem statement, all variables and given/known data

The load in Fig. 11.44 draws 10 kVA at PF =0.8
lagging. If |IL |=40 A rms, what must be the value of C
to cause the source to operate at PF =0.9 lagging?

2. Relevant equations

P(apparent power VA)= |I| |V| cos@
@ = @V - @I
cos@= p.f
X= Xrms*(2)^0.5
S(complex power)= 0.5 * I * V (cos@ - j sin@)

3. The attempt at a solution
I just face a difficulty in knwoing the face of IL
I will be thankful if you solved the wole problem.

[rootX]

First, there is no capacitor. And, you have 10 kVA at 0.8 so 8 kW.

You add a capacitor and you get 10 kVA at 0.9 and 8KW

Find the reduction in the reactive power required to make the pf equal to 0.9. To find the capacitor value now you have its reactive power and you need voltage which is equal to the voltage across the source.

You can find the voltage across the source using the initial condition when there is no capacitor.