help $1)$ A square magnetic core material features a cross$-$sectional width of $12\mathrm{.}7228$ cm and a mean path length of $65$ cm $.$ The magnetization data for the core material is provided in Table $1.$ The core is wrapped with $1,800$ turns of wire on its primary side, configured in a single$-$phase arrangement.

TABLE $1$ a$.$ Identify the appropriate values for flux density and magnetizing intensity for the operation of the transformer. Explain your choice.

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$(5\backslash \%)$

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b$.$ Hand$-$draw the magnetization curve of flux density against magnetizing intensity on a graph paper $($or digital graph paper$).$

$(10\backslash \%)$

c$.$ Determine the peak and effective input voltage supplied at the selected conditions in $($a$).$

$(10\backslash \%)$

d$.$ Is it a good idea to operate the transformer at the magnetic field intensity beyond the point of maximum flux density stated in $($c$)?$ Explain your answer with suitable comparison.

$(10\backslash \%)$

e$.$ How much current is required to produce the flux at the selected operating point in $($a$).$

f$.$ If the secondary side is wounded with $68$ turns of wire, determine the effective secondary voltage and current.