A region of space contains a constant magnetic field, B=0.015 T, directed along the negative z-axis (into the page). The magnetic field extends arbitrarily far in the positive and negative y direction, but exists only within the region from xo=0 to x₁=0.75 m. A proton travels along the x-axis toward this region with initial speed vo. See the accompanying figure. Given quantities: B, m.

) What is the radius of curvature of the proton's path after it enters the magnetic field region? At what x and y positions will the proton leave the magnetic field region? To determine-this, sketch the proton's path through the magnetic field region and use the radius of-curvature from part (a). What is the magnitude of the proton's speed as it exits the magnetic field region? ) If the proton also had an initial component of velocity in the +z direction of v₂=106 m/s,what would be its final velocity v when it exited the magnetic field, expressed as a vector with x, y, z components? A constant electric field E is now added within the same region of space as the magnetic field. The effect is that all charged particles launched with initial velocity vo in the xdirection travel straight through the region containing the fields with no deflection at all.Find the magnitude and direction of the field E. Does this mean that all charged particles passing through the region containing the fields will do so without being deflected?