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What must be the distance between point charge q1 = 28.0

What must be the distance between point charge q1 = 28.0

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Answer #1

Use Coulomb's Law

F = k * { [q1q2] / r^2 }

F = Force
k = Coulomb's constant
q1 = One charge
q2 = Second charge
r = Distance between charges

Isolate r

r = SQRT { k * { [q1q2] / F } }

Values, in SI units

F = 8.07 N
k = 8.987551E+9 N-m^2/C^2
q1 = 2.76E-5 C
q2 = -4.02E-5

Solve

r = SQRT { (8.987551E+9 N-m^2/C^2) * { (2.76E-5 C) * (4.02E-5 C) / (8.07 N) ] }
r = SQRT { (8.987551E+9 N-m^2/C^2) * { (1.11E-9 C^2) / (8.07 N) }
r = SQRT { (8.987551E+9 N-m^2/C^2) * { 1.37E-10 C^2/N }
r = SQRT { 1.23 m^2 }
r = 1.11 m

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