A motor with power factor 0.6 draws 4200 W of real power at 240 V from 10 kVA transformer. Suppose a second motor is needed and it too draws 4200 W. With both motors on line, the transformer will be overloaded unless a power factor correction can be made.

a. What power factor would be needed to be able to continue to use the same 10-kVA transformer?
b. How many kVAR would need to be added to provide the needed power factor?
c. How much capacitance would be needed to provide the kVAR correction?

To understand the electric potential and electric field of a point charge in three dimensions consider a positive point charge q, located at the origin of three-dimensional space. throughout this problem, use k in place of 14? ? 0. part adue to symmetry, the electric field of a point charge at the origin must point from the origin.answer in one word.part bfind e(r), the magnitude of the electric field at distance r from the point charge q.express your answer in terms of r, k, and q. part cfind v(r), the electric potential at distance rfrom the point charge q.express your answer in terms of r, k, and q part dwhich of the following is the correct relationship between the magnitude of a radial electric field and its associated electric potential ? more than one answer may be correct for the particular case of a point charge at the origin, but you should choose the correct general relationship. a)e(r)=dv(r)drb)e(r)=v(r)rc)e(r)=? dv(r)drd)e(r)=? v(r)r