Answer :
Final answer:
To determine the distance between the two charges, one must use Coulomb's Law, which is 'F = k.q1.q2 / r^2'. Then rearrange and insert the given details into the equation to solve for 'r', which turns out to be around 0.084 m or 8.4 cm.
Explanation:
To find the distance between the two charges, we should employ Coulomb's Law. ˣF = k.q1.q2 / r²ˣ
where:
F is the electric force = 7.19 x 10⁻⁸ N
k is Coulomb's constant = 8.99 x 10⁹ N.m²/C²
q1, q2 are the magnitudes of the two charges = 2.00 x 10⁻¹⁰ C
r is the distance between the two charges which we are solving for.
Isolating r, we have:
r = sqrt[ (k.q1.q2) / F ]
Substituting the given values, we obtain:
r = sqrt [ (8.99 x 10⁹ N.m²/C² ˣ (2.00 x 10⁻¹⁰ C)²) / 7.19 x 10⁻⁸ N ]
Thus,ˣˣr ≈ 0.084 cmˣˣ or ˣˣ8.4 cmˣˣ.
Learn more about Coulomb's Law
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