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+5 -5
Electrostatic Force (F)

Live Telemetry & Summary

Observe how distance exponentially increases the force, and how changing sign direction flips vector arrows.

Force Magnitude (F):0.025 N
Interaction:Attraction
Separation (r):3 m

Variable Adjuster

Charge 1 (qโ‚)5ฮผC
-1010
Charge 2 (qโ‚‚)-5ฮผC
-1010
Separation (r)3m
15

Coulomb's Law

COUL

Coulomb's Law quantifies the electrostatic force between two point charges. Like charges repel each other, while opposite charges attract. The magnitude of this force is proportional to the product of charges and inversely proportional to the square of their separation distance.

F=keโˆฃq1q2โˆฃr2F = k_e \frac{|q_1 q_2|}{r^2}

Whiteboard Solver Steps

Step 1

Coulomb's Electrostatic Equation

The electrostatic force between two point charges is directly proportional to the product of the magnitudes of charges and inversely proportional to the square of the distance between them.

F=keโˆฃq1q2โˆฃr2F = k_e \frac{|q_1 q_2|}{r^2}
Step 2

Force Value Calculation

Using the values of charges (q1 = 5 uC, q2 = -5 uC) and separation distance r = 3 m, we compute the magnitude of the force.

F=(8.99โ‹…109)โˆฃ5โ‹…10โˆ’6โ‹…โˆ’5โ‹…10โˆ’6โˆฃ32=0.0250 NF = (8.99 \cdot 10^9) \frac{|5 \cdot 10^{-6} \cdot -5 \cdot 10^{-6}|}{{3}^2} = 0.0250 \text{ N}
Step 3

Force Direction Analysis

Like charges repel; opposite charges attract. Since the charges have opposite signs, they attract each other.

Force is ATTRACTIVE\text{Force is ATTRACTIVE}