\ \
\
\
\"\"
\
\
\
\

 

\

Step 1:

\

Draw the related diagram:

\

\"\"

\

The angle of the field at the dot from the upper left charge \"\" is \"\".

\

The angle of the field at the dot from the lower left charge \"\" is \"\".

\

The angle of the field at the dot from the lower right charge \"\" is \"\".

\

Electric field due to charged particle is \"\", where \"\".

\

\"image\" is the permittivity of free space \"image\".

\

\"\" is the charge of the electron.

\

\"\" is the distance between the two point charges.

\

Step 2:

\

The distance between the upper left charge and the point \"\" is \"\".

\

For the charged particle along upper left surface is \"\".

\

The distance between the lower left charge and the point \"\" is \"\".

\

For the charged particle along lower left surface is \"\".

\

The distance between the lower right charge and the point \"\" is \"\".

\

For the charged particle along lower right surface is \"\".

\

Step 3:

\

Find the net electric field.

\

\"\" is sum of horizontal and vertical components.

\

Find the sum of horizontal components.

\

\"\"

\

\"\".

\

Substitute \"\" and \"\".

\

\"\"

\

\"\"

\

\"\".

\

The horizontal component is \"\".

\

Find the sum of vertical components.

\

\"\"

\

\"\".

\

Substitute \"\" and \"\".

\

\"\"

\

\"\"

\

\"\".

\

The vertical component is \"\".

\

\"\".

\

\"\".

\

The electric field at point \"\" in component form is \"\".