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?
A) 0 VB) 3.0 VC) 9.0 VD) 12 V

Answer 1

Answer:

option d) 12.0 V

Explanation:

Data provided in the question:

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

Now,

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

$E=\frac{1}{4\pi \epsilon_o}[\Sigma\frac{Q}{r}]$

given for single charge, E = 3.0 V =  $\frac{1}{4\pi \epsilon_o}[\frac{Q}{r}]$               .......(1)

so thus, for 4 charges, we have

$E=\frac{1}{4\pi \epsilon_o}[4\frac{Q}{r}]$      ...............(2)

from 1 and 2 we have

E = 4 × 3.0 V = 12 V

Hence, option d) 12 V is the correct answer.