Dear student,
The electric potential 𝑉(𝑟) generated by a point charge 𝑞 is 𝑉(𝑟) = 𝑞 4𝜋𝜖0/𝑟 , where 𝜖0 called the vacuum permittivity.
The distance between the points A and the origin is
𝑟𝐴 = a
The distance between the points B and the origin is
𝑟𝐵 = a
As the points A and B are at the same distance from the charge 𝑞, they are at same potential: 𝑉𝐴 = 𝑞 4𝜋𝜖0/𝑟𝐴 = 𝑞 4𝜋𝜖0/𝑟𝐵 = 𝑉𝐵.
Hence potential difference between the points A and B is zero./
Option 4 is correct.
regards
The electric potential 𝑉(𝑟) generated by a point charge 𝑞 is 𝑉(𝑟) = 𝑞 4𝜋𝜖0/𝑟 , where 𝜖0 called the vacuum permittivity.
The distance between the points A and the origin is
𝑟𝐴 = a
The distance between the points B and the origin is
𝑟𝐵 = a
As the points A and B are at the same distance from the charge 𝑞, they are at same potential: 𝑉𝐴 = 𝑞 4𝜋𝜖0/𝑟𝐴 = 𝑞 4𝜋𝜖0/𝑟𝐵 = 𝑉𝐵.
Hence potential difference between the points A and B is zero./
Option 4 is correct.
regards