The electric force between two point charges is 1/6 N.
Given data:
Initial distance between the charges (r1) = 2.0 cm
The new distance between the charges (r2) = 8.0 cm
Initial electric force between the charges - F1 = 1.0 N
Lets' say the two charges are q and q2. The formula to calculate electric force between the two charges is given below
F = K |q1| |q2| / r^2
K is a constant.
New electric force can be expressed as
F2/F1 = K |q1| |q2| / r2^2 ÷ K |q1| |q2| / r1^2
F2/F1 = r2^2 / r1^2
After substituting the values we will get
F2 = 1.0 N ( 2.0 / 8.0)^2
F2 = 4/64 N
F2 = 1/16N
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