Question

The potential (relative to infinity) at the midpoint of a square is 3.0 V when a point charge of Q is located at one of the corners of the square. What is the potential (relative to infinity) at the center when each of the other corners is also contains a point charge of Q

Answer 1

12.0 V

Step-by-step explanation:

Data :

Potential difference due to a single charge (+Q), E = 3.0 V

The Electric potential for the system of charges is given as:

`E=(1)/(4\pi \epsilon_o)[\Sigma(Q)/(r)]`

for single charge, E = 3.0 V =
`(1)/(4\pi \epsilon_o)[(Q)/(r)]` ->eq(1)

And for 4 charges:

`E=(1)/(4\pi \epsilon_o)[4(Q)/(r)]` -eq(2)

from eq(1) and (2) we have

E = 4 × 3.0 V = 12 V