Question

What formula gives the strength of an electric field, E, at a distance from a known source charge? E = Startfraction F Subscript e baseline over q times d Endfraction. E = Startfraction k times q over d Endfraction. E = Startfraction k times q over d Superscript 2 baseline Endfraction. E = Startfraction F Subscript e baseline over d Endfraction.

Answer 1

The answer is:

`E=(kq)/(d^(2))`

Answer 2

`E=(k\,Q)/(d^2)`

Step-by-step explanation:

The electric field E is derived from the electric Coulomb Force (
`F_C`) between two charges located at a distance "d" from each other, by using positive test charge in the following expression:

tex]E=\frac{F_C}{q}[/tex]

and where the Coulomb force between a charge Q and another one q (the test charge) is giving by:

`F_C=k(Q\,q)/(d^2)` where K represents the Coulomb constant.

Since the field is the force per unit charge using a positive test charge, the field's units will be in units of Newtons/Coulomb, and the formula for the field would be modified so as only one charge (Q - the one producing the field) will appear in the numerator:

The strength of an electric field E produced by a single charge Q at a distance d from it is therefore given by the formula:
`E=(k\,Q)/(d^2)`.