A +4.0 uC charge is placed on the x axis at x= +3.0 m, and a -2.0 uC is located on the y-axis at y= -1.0 m. Point A is on the y axis at y= +4.0 m. Determine the electric potential at point A (relative to zero at the origin).

The potential is  

Explanation:

From the question we are told that  

   The  magnitude of the charge is  

   The position of the charge is  

   The magnitude of the second charge is  

   The position is  

     The position of point A is    

Generally the electric potential  at A due to the first charge is mathematically represented as

Here k is the coulombs constant with value

         is the distance between first charge and a which is mathematically represented as

=>          

=>          

So

Generally the electric potential  at A due to the second charge is mathematically represented as

Here k is the coulombs constant with value

         is the distance between second charge and a which is mathematically represented as

=>          

=>          

So

So the net potential difference at point A  due to the charges is mathematically represented as

=>    

=>    

Generally the net potential difference at the origin due to both charges is mathematically represented as

Here  

=>  

=>  

and

=>  

=>  

Generally the net potential difference at the origin is  

=>    

Generally the potential difference at A relative to zero at the origin is mathematically evaluated as

=>      

=>      

u=13

v=30

s/t=u+1\2at

=13+431/2

=13+265.5

=278.5