The sum of two point charges in 7MC .then repel each other with a force of 1N when kept 30 cm apart in free space calculate the value of each charge?
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Let one of two charges isxμC
Therefore other charge will be(7−x)μC
By Columb's law
F=
4πϵ
0
1
r
2
q
1
q
2
1=9×10
9
×
(0.3)
2
(x×10
−6
(7−x)×10
−6
)
9×10
−2
=9×10
4−12
×(7−x)
10=x(7−x)
∴x
2
−7x+10=0⇒(x−2)(x−3)=0
x=2μCor5μC
Therefore, charges are 2μC and 5μC
Therefore other charge will be(7−x)μC
By Columb's law
F=
4πϵ
0
1
r
2
q
1
q
2
1=9×10
9
×
(0.3)
2
(x×10
−6
(7−x)×10
−6
)
9×10
−2
=9×10
4−12
×(7−x)
10=x(7−x)
∴x
2
−7x+10=0⇒(x−2)(x−3)=0
x=2μCor5μC
Therefore, charges are 2μC and 5μC
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