Question

Two identical charges are located 1 m apart and feel a 1 N repulsive electric force. What is the charge of each particle.

Answer 1

The charge on each particles which are 1 m apart and feeling a repulsive force of 1 N is 1.05×10¯⁵ C

Assumption

Let the charge on each particles be q

How to determine the charge

• Final force (F) = 1 N
• Distance apart (r) = 1 m
• Electrical constant (K) = 9×10⁹ Nm²/C²

• Charge on 1st particle (q₁) = q =?
• Charge on 2nd particle (q₂) = q =?

The charge on each particle can be obtained by using the Coulomb's law equation as shown below:

F = Kq₁q₂ / r²

F = Kq² / r²

1 = (9×10⁹ × q²) / 1²

1 = 9×10⁹ × q²

Divide both side by 9×10⁹

q² = 1 / 9×10⁹

Take the square root of both side

q =  √(1 / 9×10⁹)

q = 1.05×10¯⁵ C

Learn more about Coulomb's law:

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