Part A

A very long uniformly charged wire $($linear charge density $=$

$3\mathrm{.}1\frac{C}{m})$ lies along the $x$ axis in $($Figure $1).$ A small charged

sphere $(Q=-2\mathrm{.}6C)$ is at the point $x=0cm,y=-5\mathrm{.}0cm.$

What is the magnitude of the electric field at the point $x=7\mathrm{.}0cm,y=7\mathrm{.}0cm?$vec$(E{)}_{\text{w}\text{i}\text{r}\text{e}}$ and vec$(E{)}_Q$

respectively.

Express your answer with the appropriate units.

$E=\{\begin{array}{ccc}\text{:}[& \text{V}\text{a}\text{l}\text{u}\text{e}\text{U}\text{n}\text{i}\text{t}\text{s}& ]\end{array}$

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Part B

What is the direction of the electric field at the point $x=7\mathrm{.}0cm,y=7\mathrm{.}0cm?$

Express your answer in degrees.

${}_E=$

$$ measured counterclockwise

from the $+x$ axis