Question #20de5

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Answer 1 · 2017-10-25T11:42:05

#r=0.3927 m #

#r=39.27 cm # (approx)

The force between two point charges is #->#

#F=1/(4pi epsilon_0) xx (Q_1*Q_2)/r^2#

where #r# is the distance between the two charges.

Here we know

#F=175 N#

#Q_1=60 muC# which is #60 xx 10^(-6) C#

#Q_2=50 muC# which is #50 xx 10^(-6) C#

#1/(4pi epsilon_0) = 9 xx 10^9 Nm^2/C^2#

So,

#175=(9 xx 10^9 xx 60 xx 10^(-6) xx 50 xx 10^(-6))/r^2#

#175=(9 xx 10^9 xx 60 xx 50)/(10^6 xx 10^6 xx r^2)#

#r^2=(9 xx 6 xx 5 )/(10 xx 175)#

#r=sqrt((270/1750)) m #

#r=sqrt(0.154285) m #

#r=0.3927 m #

#r=39.27 cm # (approx)