Question

Four point charges each having charge *Q* are located at
the corners of a square having sides of length *a*.

(a) Find a symbolic expression for the total electric potential
at the center of the square due to the four charges (Use any
variable or symbol stated above along with the following as
necessary: *k*_{e}.)

V_{total} =

(b) Find a symbolic expression for the work required to bring a
fifth charge *p* from infinity to the center of the square
(Use any variable or symbol stated above along with the following
as necessary: *k*_{e}.)

W =

Answer #1

We can use identity for potential to find the potential at the
center of the square.Note that the potential is a scalar quantity
hence it depends only on distance. To find the work done, just
multiply the charge with potential. **I have use symbol for
fifth charge as q.**

**Also I have used pythagoras theorem to find the
distance.**

**Please upvote if you like the answer :)**

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HINT
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1.Four charges are located on the corners on of a square. The
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