Question #249160

A 3x10^-6 C Negative charge produces a force of 2X10^-2 N at a distance of o.ooo4 m with another unknown charge. What is the magnitude of the unknown charge?


1
Expert's answer
2021-10-10T16:04:22-0400

electrostatic force:

F=kq1q2r2F=k\frac{q_1q_2}{r^2}


q2=Fr2kq1=21021610891093106=1.1851013q_2=\frac{Fr^2}{kq_1}=\frac{2\cdot10^{-2}\cdot16\cdot10^{-8}}{9\cdot10^9\cdot3\cdot10^{-6}}=1.185\cdot10^{-13} C


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