Question $1$

A point charge located at the origin generates an electric field that has the value vec$(E)=(950.\frac{N}{C})hat(i)+(570.\frac{N}{C})hat(j)$ at the point $(x,y)=(6\mathrm{.}10cm,9\mathrm{.}20cm).$ What is the value of the charge?

$1\mathrm{.}50nC$

$13\mathrm{.}6nC$

$1\mathrm{.}29nC$

$0\mathrm{.}773nC$

Question $2$

The charges in the figure above both have a magnitude of $3\mathrm{.}90nC,$ and the distance $d$ is $7\mathrm{.}10cm.$ What is the magnitude of the electric field at the dot?

$9\mathrm{.}84E+03\frac{N}{C}$

$4\mathrm{.}92E+03\frac{N}{C}$

$1\mathrm{.}39E+04\frac{N}{C}$

$6\mathrm{.}96E+03\frac{N}{C}$

Question $3$

In the figure above, charge A is $-3\mathrm{.}80nC,$ charge $B$ is $7\mathrm{.}60nC,$ and charge $C$ is $3\mathrm{.}80nC.$ If $x=3\mathrm{.}95cm$ and $y=7\mathrm{.}90cm,$ what is the electric field at the dot?

$2\mathrm{.}11{10}^4\frac{N}{C},19\mathrm{.}4$ clockwise from the positive $x-$axis

$2\mathrm{.}11{10}^4\frac{N}{C},38\mathrm{.}9$ clockwise from the positive $x-$axis

$2\mathrm{.}81{10}^4\frac{N}{C},38\mathrm{.}9$ clockwise from the positive $x-$axis

$2\mathrm{.}81{10}^4\frac{N}{C},19\mathrm{.}4$ counter$-$clockwise from the positive $x-$axis