100. The electrostatic force between two charges separated by 3m distance is 0.075 N. If the total charge is 20uC, the individual charges are Ay 5uC, 15uC Β) 10μC, 10μC C) 2μC, 18μC D) 1uC, 19uc
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Class 12
>>Physics
>>Electric Charges and Fields
>>Problems Based on Coulomb's Law
>>Two point charges q1 and q2 are 3 m apar
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Two point charges q
1
and q
2
are 3 m apart and their combined charge is 20μC. If one repels the other with a force of 0.075 N, what are two charges?
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Solution
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Correct option is C)
q
1
+q
2
=20μC
⟹q
1
=20−q
2
F=
4πϵ
o
R
2
q
1
q
2
⟹0.075=9×10
9
×
3
2
q
1
q
2
⟹q
1
q
2
=0.075×10
−9
=75×10
−12
C
2
⟹q
1
q
2
=75μC
2
⟹q
2
(20−q
2
)=75
⟹q
2
2
−20q
2
+75=0
⟹(q
2
−15)(q
2
−5)=0
⟹q
2
=15μC
q
1
=20−q
2
=5μC
Answer-(C)
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