In a $2-$pole three$-$phase ac machine, $\backslash ($ l$\_\{$g$\}=1\mathrm{.}5\backslash$mathrm$\{$~mm$\}\backslash )$ and $\backslash ($ N$\_\{$s$\}=100\backslash ).$ During a balanced, sinusoidal, $60$ Hz steady$-$state with the rotor electrically opencircuited, the peak of the magnetizing current in each phase is $10$ A $.$ Assume that at $\backslash ($ t$=0\backslash ),$ the phase$-$a current is at its positive peak. Calculate the fluxdensity distribution space vector as a function of time. What is the speed of its rotation?

In the above problem, what would be the speed of rotation if the machine had $6$ poles?