Two charges are placed along the x-axis: +7.20 ?C at +3.35 cm, and -4.15 ?C at +

Question

Two charges are placed along the x-axis: +7.20 ?C at +3.35 cm, and -4.15 ?C at +8.70 cm. Determine the point(s) along the x-axis where the potential is zero. Choose from the following choices where the potential is zero.
11.75 cm incorrect or correct?
8.90 cm incorrect or correct?
5.11 cm incorrect or correct?
9.17 cm incorrect or correct?
6.74 cm incorrect or correct?
12.11 cm incorrect or correct?
15.98 cm incorrect or correct?

Explanation / Answer

the potential is: V=kq1/r1 + kq2/r2 when it is zero V=kq1/r1 + kq2/r2=0 --> q1/r1+q2/r2=0 r1 - is the distance from q1 r2 - is the distance from q2 lets say the point is r (measured from 0) then q1/(r-3.35) - q2/(r-8.7)=0 solve the equation regarding the r: r=15.98 --> r=15.98 correct all others are incorrect!

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