A 10 µC charge is at the origin. A -15 µC charge is on the x-axis 10 cm to the r

Question

A 10 µC charge is at the origin. A -15 µC charge is on the x-axis 10 cm to the right of the origin. At what point other than at infinity can a 1 µC charge be placed so that there will be no net electrostatic force on it?

At one point on the x-axis to the left of the positive charge.

At some point off the x-axis either above or below.

At one point between the two charges.

At one point on the x-axis to the right of the negative charge.

At no point.

At one point on the x-axis to the left of the positive charge.

At some point off the x-axis either above or below.

At one point between the two charges.

At one point on the x-axis to the right of the negative charge.

At no point.

Explanation / Answer

the positive charge will feel the force of attraction from -ve charge and force of repulsion from+ ve charge,

therefore it must be placed to the left of positive charge to feel no net force

( 10 x 1 ) / r^2 = ( 15 x 1) / ( r+0.1)^2

10 ( r^2 + 0.01 + 0.2 r) = 15 r^2

5r^2 -0.2 r -0.01= 0

solving the above equation will give teh exact location from origin

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