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Question

Question: Two charges of magnitude each of 5 $\mu$C and 10 $\mu$C separated by distance of 1 m from each other...

Two charges of magnitude each of 5 μ\muC and 10 μ\muC separated by distance of 1 m from each other, magnitude of force between the charges is 0.450 N

Answer

The given statement is true.

Explanation

Solution

The force between two charges is calculated using Coulomb's Law: F=kq1q2r2F = k \frac{|q_1 q_2|}{r^2}. Substituting the given values q1=5×106Cq_1 = 5 \times 10^{-6} \, C, q2=10×106Cq_2 = 10 \times 10^{-6} \, C, r=1mr = 1 \, m, and k=9×109Nm2C2k = 9 \times 10^9 \, N m^2 C^{-2}, the calculated force is F=(9×109)(5×106)(10×106)(1)2=450×103N=0.450NF = (9 \times 10^9) \frac{(5 \times 10^{-6})(10 \times 10^{-6})}{(1)^2} = 450 \times 10^{-3} \, N = 0.450 \, N. This matches the force stated in the question.