Question

Two identical positive charges are placed near each other. At the point halfway between the two chargesTwo identical positive charges are placed near each other. At the point halfway between the two charges,

the electric field is zero and the potential is positive.
the electric field is not zero and the potential is positive.
the electric field is zero and the potential is zero.
the electric field is not zero and the potential is zero.
None of these statements is true.

Answer 1

Answer:The electric field is zero and the potential is positive.

Explanation:

Two identical positive charges are separated by a certain distance and midway between charges two identical positive charges are placed near each other.

So the Electric field at midway is zero because the electric field due to both charges add up to give zero electric field.(because they point in opposite direction)

Potential is scalar quantity and charges are positive so they add up to give potential.

Answer 2

At the point halfway between the two charges, the electric field is zero and the potential is positive.

Electric field and potential difference:

Let the two identical positive charges be q₁ and q₂, such that they have equal charges: q₁ = q₂ = q,

Let the charges be separated by a distance of 2r.

The midpoint of the line joining the charges will be at a distance of r from each charge.

Let q₁ be on the left and q₂ be on the right.

The electric field at the mid-point will be:

E = E₁ + E₂

E₁ = kq/r²  to the right

E₂ = kq/r² to the left = -kq/r²  to the right

so, E = kq/r² -  kq/r²

E = 0

Now, the potential difference is a scalar quantity, so the potential difference at the midpoint will be:

V =  kq/r +  kq/r

V = 2 kq/r

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