A magnetic field BB $=50\mathrm{.}0$ mTmT points in the $+$y$+$y$-$direction. A rectangular loop of wire with an area of $200$ cm$2$cm$2,$ which is initially in the xzxz$-$plane, rotates into the xyxy$-$plane $($that is$,$ through $90$ degrees$)$ as shown. This process is smooth and takes $1\mathrm{.}2$ seconds.

Part A$)$

What is the magnetic flux through the loop at t$=$t$=0\mathrm{.}5$ s$?$

Part$($B$)$

What is the magnitude of the induced emf at t$=$t$=0\mathrm{.}5$ s$?$

Part C$)$

What is the maximum induced emf?