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Question

# Two electric charges 2q and 8q are placed at a distance of 6a on a horizontal plane. The distance of the location of the point from charge 2q where the electric field is zero is

A
2a
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B
a
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C
1.5a
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D
2.5a
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Solution

## The correct option is A 2aGiven 2 charges 2q & 8q are pleased at a distance of 6a on a horizontal plan.suppose +ve charge +2q is placed at origin and charge +8q is placed at (6a,0).Let point p on thex-axis at the distance "x" from the origin when the electric field is zero. Electric field at P due to Chang 2qE1=k.2qx2Electric field at P due to Chang 8qE2=k.8q(6a−x)2the net electric to be zeromeans E1=E2 ie,k.2qx2=k.8q(6a−x)2⇒(6a−x)2=4x2 Taking square root on both sides6a−x=2x6a=3xx=2aso, the answer is option (a).

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