The main failure mode in contactors is electromagnet fatigue due to the

formation of foucault$$s currents and the strong mechanical impact when

opening and closing the circuits. To mitigate this failure mode, the electromagnet evolved into a laminated design, as shown below. In this particular

case, the electromagnet core is composed of $28$ steel sheets each with a thickness of ts $=1\mathrm{.}0\backslash$pm $0\mathrm{.}12$ mm$,$ and the bracket for the assembled electromagnet

core has design thickness of tbc $=28\mathrm{.}2\backslash$pm $0\mathrm{.}6$ mm$.($A$)$ What percentage of

assemblies $($core $+$ core$-$bracket$)$ will have a clearance less than $0\mathrm{.}1$ mm$.($B$)$

What percentage of assemblies will have a clearance less than zero $($not fit$).$

$($C$)$ If no more than $2\%$ of assemblies should have a clearance less than $0$

mm$,$ to what value does the core$-$bracket size has to be increased if all other

dimensions and tolerances remain the same?