Help with homework

1.    An electro-magnet draws 3kw of real power and 4 kvar of reactive power.

        a)  Calculate the apparent power.

a)                                                               b) Calculate the power factor

2.    A capacitor drawing 4kvar is placed in parallel with the electro-magnet of question 1.

       a) Calculate the new value of apparent power.

       b) What is the new value of reactive power?

     c)  What is the new value of real power?

     d) What is the new power factor?

3.    If the capacitor of question 2is placed with one drawing 8 kvar, calculate

      a) Calculate the new value of apparent power.

     b) What is the new value of reactive power?

   c) What is the new value of real power?

   d) What is the new power factor?

   e) Did the addition of the capacitor accomplish anything?

Explain

4.  is the adding of a capacitance affecting the current through the motor windings?

5. is the real power supplied to a motor affected by the placing of capacitors in parallel with the motor?

        Explain