Here's why:
* Coulomb's Law: The force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Mathematically:
F = k * (q1 * q2) / r²
Where:
* F is the force
* k is Coulomb's constant
* q1 and q2 are the charges
* r is the distance between the charges
* Increasing the Distance: If you increase the distance (r) by a factor of six, the denominator of the equation becomes 6² (which is 36).
* Force Reduction: Since the force is inversely proportional to the square of the distance, the force will be 1/36th of its original value.
