# Electrostatics.. numericals 1)two positive charges distant 0.1 m apart , repel each other with a force of 18 N. If the sum of the two charges be 9 micro-coulomb then calculate their separate values

2
by Arunav5

2015-04-22T00:43:31+05:30
Using ﻿ and taking both charges as q1 and q2 micro coulomb, we get q1 + q2 = 9 and q1q2 = 1/5 Solve the quadratic to get q1 and q2.
2015-04-22T14:40:26+05:30

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The Coulomb's law of force between two electrically charged particles :
q
₁ , q₂ = electric charges on the two particles.
r = distance between two particles = 0.1 m
the particles are assumed to be point sized.
Force F = 18 N

q
₁ + q₂ = 9 μ C    --- (1)

Solve the two equations to get the values of charges.
q
₁ (9 - q₁) = 20
q
₁² - 9 q₁ + 20 = 0
(q
₁ - 5) (q₁ - 4) = 0

q
₁ = 5 μ C  or  4 μ C
q
₂  = 4 μ C  or  5 μ C