Three point charges $Q_1=1\mathrm{.}55nC,Q_2=-3\mathrm{.}72nC$ and $Q_3=3\mathrm{.}59nC$ are shown in the figure. The distance in the figure are: $d_1=1\mathrm{.}77cm,d_2=1\mathrm{.}06cm,d_3=1\mathrm{.}27cm$ and $d_4=1\mathrm{.}78cm.$

The figure is not to scale.

Use $k=8\mathrm{.}99{10}^{9}N\frac{m^2}{C^2}$ and assume to the right is the $+x-$direction.

$($A$)$ Calculate the electric field from each charge at the field point $A.$

$E_{Q1}={4\mathrm{.}41}^{***}{10}^{{?}^{{?}^{?}}}4\frac{N}{C}$

$E_{Q2}=$

$E_{Q3}=-{1\mathrm{.}92}^{***}{10}^{{?}^{{?}^{?}}}4\frac{N}{C}$

Find the total electric field at A$.$

$E_A=$

Hint$/$Example Video on Calculating Electric Field

Find the acceleration of a proton and an electron placed at $A.$

Hint$/$Example for Calculating Force and Acceleration of Charged Particle

$($B$)$ Calculate the electric field from each charge at the field point $B.$

$E_{Q1}={0\mathrm{.}826}^{***}{10}^{{?}^{{?}^{?}}}4\frac{N}{C}$

$E_{Q2}=-{20\mathrm{.}8}^{***}{10}^{{?}^{{?}^{?}}}4\frac{N}{C}$

$E_{Q3}=-{10\mathrm{.}2}^{***}{10}^{{?}^{{?}^{?}}}4\frac{N}{C}$

Find the electric field at $B.$

$E_B=-{3\mathrm{.}01}^{***}{10}^{{?}^{{?}^{?}}}5\frac{N}{C}$

Find the acceleration of a proton and an electron placed at $B.$

Hints$/$Example Video for Part B