Questions:

A magnetic core with a primary winding with 40 turns and a secondary winding with 80 turns has a leakage path dominated by an air gap as shown in the figure. The iron portions of the core have very high permeablity compared to air and the core cross section area is the same everywhere.

Winding resistances may be neglected

a) With the secondary winding open, a 120 V, 60 hz source connected to the primary produces a primary flux density of 1.3 T. Find the secondary and leakage path flux densities and the secondary voltage.

b) With the same 120 V source connected to the primary, find the primary and secondary flux densities if the secondary winding is connected to a resistive load which results in a secondary voltage of 120 V.

c) Find the flux density in the leakage shunt for the condition in part b.