Two particles with charges +2q and +q are separated by a distance r. the +2q particle has an electric field e at distance r and exerts a force f on the +q particle. what is the electric field of the +q particle at the same distance and what force does it exert on the +2q particle?
a. e/2, f/2.
b. e, f/2.
c. e/2, f.
d. e, f.

C. E/2, F.

Explanation:

Suppose two particles as A and B which are separated by a distance of r.

And the charge on the particle A is +2q and the charge on the particle B is +q.

According to the question, the electric field at a distance of r on the charge +2q is E.

.

And the force on the +q charge at a distance of r is F.

.

Now, the electric field can be calculated at +q charge on the same distance will be,

Now substitute E/2 for in the above equation will get,

E'=E/2.

Therefore the electric field at distance r on +q charge is E/2.

Now the force xcan be calculated at the distance r on charge +2q will be

Substitute F for in the above equation will give,

F'=F.

Therefore, the force exert on the +2q charge at the distance r will be F.