Question #189633

Two charged spheres exert a force of 5.54 × 10-4 N on each other. If one of the spheres has a charge of 3.72 × 10-9 C and the other sphere has a charge of 4.32 × 10-6 C, how far apart are the charged spheres?




1
Expert's answer
2021-05-09T15:06:30-0400

We have given that,

Electrostatic force between two charged species = 5.54 × 10⁻⁴ N

Charge on one sphere = 3.72 × 10⁻⁹ C

Charge on other sphere = 4.32 × 10⁻⁶ C

We have to find distance between them,

We know,

F=kq1q2r2F = \dfrac{kq_1q_2}{r^2}


5.54×104=9×109×3.72×109×4.32×106r25.54 \times 10^{-4} = \dfrac{9 \times 10^9 \times 3.72 \times 10^{-9} \times 4.32 \times 10^{-6}}{r^2}



r2=144.6336×1025.54r^2 = \dfrac{144.6336 \times10^{-2}}{5.54}


r2=26.107×102r=0.26107r=0.51mr^2 = 26.107 \times 10^{-2} \\ r= \sqrt{0.26107} \\ r = 0.51m




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