1. Calculate the electric field due to a single +1nC point charge at a distance of lm, 2m, and 3m

Assumption: there is no object between this point charge and the observer.

Explanation:

The electric field of a point charge is inversely proportional to the square of the distance from that point charge.

Let denote Coulomb's constant (.) Let the magnitude of that point charge be . At a distance of from this charge, the electric field due to this charge would be:

.

Convert the magnitude of the point charge in this question to standard units:

.

Apply that equation to find the magnitude of the electric field due to this point charge:

:

.

:

.

:

.

The direction of the electric field at a point is the same as the direction of a force from this field onto a positive point charge at this point.

Because the point charge here is positive, the electric field of this charge would repel other positive point charges. Hence, the electric field around this point charge at any point in the field would point away from this charge.