for the attachement i am trying to determine
1. the value of c to have a power factor equal to .707
2. for this value of capacitance, determine the real power transferred to the 10 K ohm load
3. what is the apparent power demanded from the source

 

Not much interest in this problem it seems.

I have ...

1. C = 39.79 nF

2. Power = 10 mW

3. Apparent Power = 14.14 mVar

 

Oops - Maybe I should have

3. Apparent Power = 14.14 mVA

 

what is the formula you used to come to c= 39.79 nF? if I may ask

 

what is the formula you used to come to c= 39.79 nF? if I may ask

To achieve a power factor of 0.707 (cos 45°) would require the capacitive reactance to equal the load resistance. If you are not sure why this is the case, draw a load (or power) triangle representing the resistive and reactive terms.

The required capacitive reactance magnitude is then known from the problem statement as

|Xc| = Rload = 10k

Given |Xc| you should be able to then calculate C at 400Hz.