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

Answer:

12.0 V

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:

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

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

And for 4 charges:

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

from eq(1) and (2) we have

E = 4 × 3.0 V = 12 V