A) B) Consider two charges of equal magnitude and the same sign separated by a d

Question

A)

B)

Consider two charges of equal magnitude and the same sign separated by a distance d. Is there any point around these charges (other than infinitely far away) where the total electric potential is zero? If so, where is that point(s)? If not. explain why not. Is there any point around these charges (other than infinitely far away) where the total electric field is zero? If so, where is that point(s)? If not. explain why not. Consider two charges of equal magnitude and opposite sign separated by a distance d. Is there any point around these charges (other than infinitely far away) where the total electric potential is zero? If so, where is that point(s)? If not. explain why not. Is there any point around these charges (other than infinitely far away) where the total electric field is zero? If so, where is that point(s)? If not. explain why not.

Explanation / Answer

A) Opposite sign charges
   (a) YES
       On the perpendicual bisector of the line joining them.
      V = kQ/r1 - kQ/r2
     If r1 = r2, V = 0.

   
    (b) No
       Both charges will apply electrc field in same direction so will never be 0 or cancel each other.

B) Same sign charges
   (a) NO
       They will create same sign potential so never cancel out.

   
    (b) YES   
   On the middle of the line joining them i.e. at d/2 distance, electric fields will be equal and opposite in direction, thus cansel out

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