A   c h a r g e   o f   10 μ C   i s   p l a c e d   a t   t h e   o r i g i o n   o f   x - y   c o o r d i n a t e   s y s t e m .   T h e   p o t e n t i a l   d i f f e r e n c e   b e t w e e n   t w o   p o i n t s   0 , a   a n d   a , 0   i n   v o l t s   w i l l   b e 1 9 × 10 4 a 2 9 × 10 4 a 2 3 9 × 10 4 2 a 4   z e r o

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


 

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