When two point charges are placed at some distance apart, they produce an electric field around them. The electric field is the force per unit charge experienced by a test charge placed at any point in space. The electric field is a vector quantity, and its direction is the direction of the force experienced by a positive test charge.



When a test charge is placed at the location of q, it experiences an electric field E due to the charge q. The electric field E is given by the formula:

E = kq/r^2

where k is the Coulomb's constant, q is the charge of the source charge, and r is the distance between the test charge and the source charge.



When a test charge is placed at the location of 2q, it experiences an electric field due to both charges q and 2q. The electric field due to the charge q is given by the formula:

E1 = kq/r^2

The electric field due to the charge 2q is given by the formula:

E2 = k(2q)/r^2

The total electric field at the location of 2q is the vector sum of the electric fields due to both charges q and 2q. Therefore, the total electric field E' at the location of 2q is given by the formula:

E' = E1 + E2

E' = kq/r^2 + k(2q)/r^2

E' = k(3q)/r^2

Therefore, the electric field at the location of 2q is three times the electric field at the location of q.



In conclusion, the electric field at the location of q is given by the formula E = kq/r^2. The electric field at the location of 2q is three times the electric field at the location of q and is given by the formula E' = k(3q)/r^2.

At 2q is also E because e.f.is product of qand 2q