Question #185270

If 0.81 N is force of repulsion between two identical charges separated by a distance 0.1 m apart. The value of each charge in C will be


1
Expert's answer
2021-04-26T17:12:04-0400

Electrostatic force is F=0.81 N

Distance between two charges is d=0.10 m

Coulomb's constant is k=9×109N.m2/C2k=9\times 10^9 N.m^2/C^2

The electrostatic force between two charges is

F=kQ2d2F=\frac{kQ^2}{d^2}

The each charge is

Q=Fd2k=(0.81)(0.10)29×109=9.50×107CQ=\sqrt{\frac{Fd^2}{k}}=\sqrt{\frac{(0.81)(0.10)^2}{9\times 10^9}}=9.50\times 10^{-7} C


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