Chapter 4, Problem 4.14P

The mean length around a nickel core of a transformer like the one shown in Figure 4.1 la is 16 cm, and its cross sectional area is $1{\text{cm}}^{\text{2}}$. There are 30 turns on the primary side and 45 on the secondary side. If the current on the primary side is $1.0\sin \left(20\pi \times {10}^{6}t\right)\text{mA}$, (a) calculate the amplitude of the magnetic flux in the core in the absence of the output windings. (b) With the output windings in place, calculate $i_2$.