Answer:
q= 1.9*10⁻¹⁶ C
Explanation:
To solve this problem we apply Coulomb's law:
Two point charges (q1, q2) separated by a distance (d) exert a mutual force (F) whose magnitude is determined by the following formula:
F=K*q₁*q₂/d² Formula (1)
F: Electric force in Newtons (N)
K : Coulomb constant in N*m²/C²
q₁,q₂:Charges in Coulombs (C)
d: distance between the charges in meters(m)
Data
F=2.37*10⁻³ N
K=8.99*10⁹N*m²/C²
q₁ = q₂=q
d= 3.7*10⁻¹⁰ m
Problem development
We replace data in the formula (1) to calculate q:
F=K*q₁*q₂/d²
F= K*q*q*/d²
F*d²= K*q²
F*d²/K= q²
[tex]q=\sqrt{\frac{F*d^{2} }{K} }[/tex]
[tex]q= d*\sqrt{\frac{F}{K} }[/tex]
[tex]q= 3.7*10^{-10} *\sqrt{\frac{2.37*10^{-3} }{8.99*10^{9} } }[/tex]
q= 1.9*10⁻¹⁶ C
