Name $($please print$)$: $q,$

Total Points

$($last$)$

$($first$)$

$$

Suppose that instead of a wire, instead an electron was fired into the region of the magnetic field. $($for an electron $q=-1\mathrm{.}6**{10}^{-19}C,m=9\mathrm{.}1**{10}^{-31}kg).$ It is fired at a speed of $3**{10}^3\frac{m}{s}$ straight up the page.

d$)[5$ pts$]$ What is the magnitude and direction of the magnetic force acting on the electron? Draw a vector to show the direction and explain how you determined your answer.

e$)[4$ pts$]$ What is the radius of the circle that this electron will move with?

f$)[4$ pts$]$ Suppose that we model the MRI machine as an ideal solenoid and that that the solenoid had a density of windings of $n=600$ turns$/$meter$.$ How much current would be needed to create this $3T$ field?