Question

A 15.0 nC point charge is 15 m from a second point charge, and the electric force on one of them due to the other is 5.0 N. What is the magnitude of t

Answer 1

t = 125 C

Step-by-step explanation:

The force on a charge due to other charge is given by Coulomb's Law, as follows:

F = kq₁q₂/r²

where,

F = Electric Force = 5 N

k = Coulomb Constant = 9 x 10⁹ N.m²/C²

q₁ = magnitude of first charge = 15 nC = 1.5 x 10⁻⁸ C

q₂ = Magnitude of 2nd Charge = t = ?

r = distance between charges = 15 m

Therefore,

5 N = (9 x 10⁹ N.m²/C²)(1.5 x 10⁻⁸ C)t/(15 m)²

t = (5 N)/(0.04 N/C)

t = 125 C