Coulomb's Law
The electrical force between two charged objects is described by Coulomb's Law:
* F = k * (q1 * q2) / r²
Where:
* F is the electrical force
* k is Coulomb's constant
* q1 and q2 are the magnitudes of the charges
* r is the distance between the charges
Analysis
* Direct Proportion: The force is directly proportional to the product of the charges (q1 * q2). This means if the charges increase, the force increases proportionally.
* Inverse Square Law: The force is inversely proportional to the square of the distance (r²). This means if the distance increases, the force decreases by the square of that increase.
Applying the Information
If the distance (r) increases by 4 times, the force (F) will change by a factor of:
* (1/4)² = 1/16
Conclusion
If the distance between two charged objects increases by 4 times, the electrical force between them will decrease by a factor of 16.
