Question

An isolated point charge particle produces an electric field `vecE` at a point 3 m away from it. The distance of the point at which the field is `vecE/4` will be ______.

Options

• 2 m

• 3 m

• 4 m

• 6 m

Answer 1

An isolated point charge particle produces an electric field `vecE` at a point 3 m away from it. The distance of the point at which the field is `vecE/4` will be 6 m.

Explanation:

The electric field E produced by a point charge at a distance r from it is given by the equation:

E = `(kQ)/r^2`

Where k is Coulomb's constant and Q is the charge on the particle.

Let the distance of the point where the electric field is `E/4` be x metres away from the particle.

So, the electric field at this point can be calculated as:

`E/4 = (kQ)/x^2`

Also, we know that the electric field at a point 3 metres away from the particle is E. So we can write:

`E = (kQ)/3^2`

Equating these two equations, we get:

`(kQ)/x^2 = (kQ)/(3^2 xx 4)`

In simplification, we get:

`x^2 = 3^2 xx 4`

`x^2 = 36`

Taking the square root of both sides, we get:

x = 6

Therefore, the distance of the point where the electric field is `E/4` is 6 metres away from the particles.