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Given structures $A_i$ each of cardinality $<\kappa$ where $\kappa$ is a measurable cardinal, the cardinalities of the $A_i$ are not uniformly bounded by a cardinal $\lambda <\kappa$, and $\mathcal{U}$ a $\kappa$-complete ultrafilter over $\kappa$, what is the cardinality of the ultraproduct $\prod A_i/\mathcal{U}$?

Edit: The ultrafilter $\mathcal{U}$ is also assumed to be normal.

Given structures $A_i$ each of cardinality $<\kappa$ where $\kappa$ is a measurable cardinal, the cardinalities of the $A_i$ are not uniformly bounded by a cardinal $\lambda <\kappa$, and $\mathcal{U}$ a $\kappa$-complete ultrafilter over $\kappa$, what is the cardinality of the ultraproduct $\prod A_i/\mathcal{U}$?

Edit: The ultrafilter $\mathcal{U}$ is also assumed to be normal.

For all the other missing data, which I am not aware of, please let me know of the case in which the ultraproduct is only of cardinality $\kappa$ (and as a by product is not isomorphic to any of the $A_i$).

Given structures $A_i$ each of cardinality $<\kappa$ where $\kappa$ is a measurable cardinal, the cardinalities of the $A_i$ are not uniformly bounded by a cardinal $\lambda <\kappa$, and $\mathcal{U}$ a $\kappa$-complete ultrafilter over $\kappa$, what is the cardinality of the ultraproduct $\prod A_i/\mathcal{U}$?

Given structures $A_i$ each of cardinality $<\kappa$ where $\kappa$ is a measurable cardinal, the cardinalities of the $A_i$ are not uniformly bounded by a cardinal $\lambda <\kappa$, and $\mathcal{U}$ a $\kappa$-complete ultrafilter over $\kappa$, what is the cardinality of the ultraproduct $\prod A_i/\mathcal{U}$?

Edit: The ultrafilter $\mathcal{U}$ is also assumed to be normal.

Given structures $A_i$ each of cardinality $<\kappa$ where $\kappa$ is a measurable cardinal, and $\mathcal{U}$ a $\kappa$-complete ultrafilter, what is the cardinality of the ultraproduct $\prod A_i/\mathcal{U}$?

Given structures $A_i$ each of cardinality $<\kappa$ where $\kappa$ is a measurable cardinal, the cardinalities of the $A_i$ are not uniformly bounded by a cardinal $\lambda <\kappa$, and $\mathcal{U}$ a $\kappa$-complete ultrafilter over $\kappa$, what is the cardinality of the ultraproduct $\prod A_i/\mathcal{U}$?