Answer:
q₂ = 6.8 x 10⁻⁶C
q₁ = 3.2 x 10⁻⁶ C
Explanation:
First charge is q₂ and second charge will be ( 10 x10⁻⁶ - q₂ )
Force between them F = 8 X 10⁻³ N distance between them d = 4.1 m
F = k ( q₁ xq₂ ) / d²
8 x 10⁻³ = [tex]\frac{8.99\times10^9\times q_2\times (10^{-5}-q_2)}{(4.1)^2}[/tex]
14.95 x 10⁻¹² = 10⁻⁵q₂ - q₂²
q₂²-10⁻⁵q₂ + 14.95 x 10⁻¹² =0
This is a quadratic equation .The solution of it gives the value of q₂
q₂ = 6.8 x 10⁻⁶C
q₁ = 3.2 x 10⁻⁶ C
q₁ = 3.2 x 10⁻⁶ C
q₂ = 6.8 x 10⁻⁶C
Charge is a characteristic of a unit of matter that expresses the extent to which it has more or fewer electrons than protons.
It is also known as electric charge, electrical charge, or electrostatic charge and symbolized q.
Given,
First charge is q₂ and second charge will be ( 10 x10⁻⁶ - q₂ )
F = 8 X 10⁻³ N
d = 4.1 m
By using the Formula,
[tex]F =\frac{k ( q_{1} * q_{2} ) }{d^{2} }[/tex]
8 x 10⁻³ = [tex]\frac{8.99*10^{9}*q_{2} *10^{-5} -q_{2} }{(4.1)^{2} }[/tex]
14.95 x 10⁻¹²
= 10⁻⁵q₂ - q₂²
= q₂²-10⁻⁵q₂ + 14.95 x 10⁻¹²=0
Therefore,
The above equation is a quadratic equation , it gives the value of q₂
q₂ = 6.8 x 10⁻⁶C
q₁ = 3.2 x 10⁻⁶ C
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