Two charges lie in a line along the x axis. Charge 1 is q1=1.5 C and charge 2 is

Question

Two charges lie in a line along the x axis. Charge 1 is q1=1.5 C and charge 2 is q2=2.1 C. They are each a distance of d=0.014 m from the origin. What is the distance on the x-axis from the origin at which the electric field will be zero. Give in meters.
Two charges lie in a line along the x axis. Charge 1 is q1=1.5 C and charge 2 is q2=2.1 C. They are each a distance of d=0.014 m from the origin. What is the distance on the x-axis from the origin at which the electric field will be zero. Give in meters.

Explanation / Answer

Here, E1 = E2

=> k * 1.5/(0.014 - x)2 = k * 2.1/(0.014 + x)2

=> 1.5/(0.014 - x)2 = 2.1/(0.014 + x)2

=>   1.2247/(0.014 - x) = 1.449/(0.014 + x)

=>   0.0171 + 1.2247x = 0.0203 - 1.449x

=> x = 1.197 * 10-3 m

Thus, the distance on the x-axis from the origin at which the electric field will be zero = 1.197 * 10-3 m

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