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Question

Two charges 4q and q are placed 30 cm apart. At what point, the value of electric field will be zero?

A
10 cm away from q and between the charges.
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B
20 cm away from q and between the charges.
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C
15 cm away from q and between the charges.
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D
25 cm away from q and between the charges.
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Solution

The correct option is A 10 cm away from q and between the charges.
At equilibrium, net field at point P is zero.

E1E2=0

k(4q)(x×102)2=kq[(30x)×102]2

On solving this, we get, x=20 cm

Therefore, net electric field is zero at (30x) cm=(3020) cm=10 cm away from q and between the charges.

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