# Two charges lie in a line along the x axis. Charge 1 is q1= 0.75C and charge 2 is q2= 2.35 C. They are each a distance of d=0.025m from the origin. What is the distance on the x- axis from the origin at which the electric field will be zero. Give answer in meters.

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Two charges lie in a line along the x axis. Charge 1 is q1= 0.75C and charge 2 is q2= 2.35 C. They are each a distance of d=0.025m from the origin. What is the distance on the x- axis from the origin at which the electric field will be zero. Give answer in meters.

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Step 1

The net electric field of the charges q1 and q2 is zero. Let the distance between the origin and the point where the electric field is zero be r. The electric fields will have opposite signs because they correspond to different sides of the point where is there is no electric field. Therefore,

Step 2

Re-arranging the equation and substituting the values,

Step 3

Solving the above quadratic equation and neglecting the va...

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