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Question

Find the distance of the point from A where the net electric field will be zero for the given configuration.


A
1.4 m towards left
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B
0.4 m towards left
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C
2.4 m towards left
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D
3.4 m towards left
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Solution

The correct option is A 1.4 m towards left
For the unlike charges, the net electric field is zero near smaller charge.
Let us say that the electric field is zero at a distance x from A to the left.

The electric field due to 5 C charge is 5kx2 towards left.

The electric field due to 100 C charge is 100k(x+5)2 towards right.

For the net electric field to be zero these two terms must be equal.

5kx2=100k(x+5)2

Simplifying this we get,

x=510051

x=1.4 m [from A towards left]

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