Question #166825

what electrostatic force would exist between a point charge with a charge of 5.35x10 -7C and a second point charge with a charge of -7.73x10 -6C if the two charges were separated by a distance of 4.11x10 -2?


1
Expert's answer
2021-02-25T12:37:30-0500

Here,

q1=5.35×107Cq_1=5.35\times10^{-7}C

q2=7.73×106Cq_2=-7.73\times10^{-6}C

d=4.11×102md=4.11\times 10^{-2}m


For electrostatic force, FE=kq1q2d2F_E= k\dfrac{q_1 q_2}{d^2}

and k=9×109Nm2/C2k = 9\times 10^9 Nm^2/C^2

So, FE=(9×109Nm2C2)(5.35×107C)(7.73×106C)(4.11×102m)2F_E=(9\times 10^9\dfrac{Nm^2}{C^2})\dfrac{(5.35\times10^{-7}C)(-7.73\times10^{-6}C)}{(4.11\times10^{-2}m)^2}

=372.199516.8921=22.03N=\dfrac{-372.1995}{16.8921}=-22.03N


So, magnitude of electrostatic force FE=|F_E|= 22.03N

and negative sign shows that there is attraction between the two point charges.

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