Answer:
r₂/r₁ = 1.82
Explanation:
The electric field due to a point charge, has the following expression:
[tex]E =\frac{k*q}{r^{2}}[/tex]
For a distance r₁, the magnitude of the electric field is 395 N/C, so we can solve for r₁², as follows:
r₁² = [tex]\frac{k*q}{395 N/C} }[/tex] (1)
For a distance r2, the magnitude of the electric field is 119 N/C, so we can solve for r₂², as follows:
r₂² = [tex]\frac{k*q}{119 N/C} }[/tex]
We can find the quotient r₂/r₁, from (1) and (2):
r₂/r₁ =[tex]\sqrt{395/119}[/tex] = 1.82
