(Solved): The figure below shows a rectangular coil of length and width w consisting of N turns of conduc ...

The figure below shows a rectangular coil of length $?$ and width $w$ consisting of $N$ turns of conducting wire, moving to the right with a constant velocity $\overrightarrow{\mathbf{v}}$. The coil moves into a region of uniform magnetic field $\overrightarrow{\mathbf{B}}$, pointing into the page and perpendicular to the plane of the coil. The total resistance of the coil is $R$. Find the magnitude and direction of the total magnetic force on the coil for the following situations. (Use the following as necessary: $N,B,w,?,v$, and $R$. ) (a) as it enters the magnetic field magnitude $F=$ direction (b) as it moves within the field magnitude $F=$ direction (c) as it leaves the field magnitude $F=$ direction