A step$-$up transformer is designed so that the output of it's secondary winding is$1,500$Vrms$$ when the primary winding is connected to $110$ V line voltage.

a$)$ If there are$120$ turns in the primary winding, how many turns are there in the secondary winding?

$$NS $=$ turns

b$)$ If a resistor connected across the secondary winding draws an rms current of$0\mathrm{.}90$ A$,$ what is the rms current in the primary coil?

$$IP $=$A$$