\
\
Step 1:
\(a)
\Observe the figure:
\The three point charges are ,
and
.
The angle of the field at the dot from the top charge is .
The angle of the field at the dot from the bottom charge is .
The angle of the field at the dot from the top right charge is .
Electric field due to charged particle is , where
is the permittivity of free space
.
is the charge of the electron.
is the distance between the two point charges.
Step 2:
\The distance between the top charge and the dot is .
For the charged particle along bottom surface is .
The distance between the bottom charge and the dot is .
For the charged particle along bottom surface is .
The distance between the top left charge and the dot is .
For the charged particle along bottom surface is .
Step 3:
\Find the net electric field.
\ is sum of horizontal and vertical components.
Find the sum of horizontal components.
\Find the sum of vertical components.
\Therefore .
Solution:
\.
\
\
\
(b)
\From (a): .
Find the magnitude of electric field strength.
\Strength of the electric field is
\
(c)
\From (a): .
Find the direction of electric field.
\Direction of electric field is clockwise.