Question

what is the value of 1./4pieEo in electrostatic​

Answer 1

Answer:

its value is 9*10^9.

hope it helps you sis.

thank you

Answer 2

Answer:

Coulomb’s Law for the electric force between two charges separated by a distance r is expressed most generally as:

Fe=kq1q2r2.

k is a constant of proportionality.

For SI units (and the subset MKSA system):

k=14πε0=2997924582×10−7 N⋅m²/C²=8.9875517873681764×109 N⋅m²/C².

(The value 299 792 458 is the number of meters per second for the speed of light in a vacuum, and not some random coincidence). Currently, this value is exact. However, the anticipated revamping of SI expected to be approved in 2018–11 and made effective in 2019–05 will make the elementary charge (e) a defined value and the permittivity ( ϵ0 ) and permeability of the vacuum (and μ0 ) measured values, so k would become a measured value (with measurement uncertainty) rather than the current defined value.

For mechanics CGS is a single system; however, when extending to electricity and magnetism, no additional base units are used (whereas SI adds a fourth base unit, the ampere, which makes comparisons between these unit systems being merely correspondences and not equalities). There are multiple ways to do this, so CGS is not a single system, but a set of systems, when incorporating electricity and magnetism.

The electrostatic and Gaussian systems define k = 1. That’s right—no units. Thus two charges of 1 statcoulomb separated by a distance of 1 cm exert a force of 1 dyn on each other. So, how do the units work out then? In order for them to work out, the statcoulomb has to be defined in terms of the CGS base units as:

statC=g1/2cm3/2s−1 .

This is totally different from the coulomb, which cannot be defined in terms of only the kilogram, meter, and second.

The electromagnetic system, which is not as commonly used, defines k = c². There are yet other systems, rarely used, with yet other values for k.

Thus, it is a little tricky to say what 14πε0 actually transforms conceptually into, never mind its value, when converting to any the the various CGS systems for electricity and magnetism. (Note: Lest I might accidentally convey the wrong impression with this paragraph, the notation 14πε0 applies only in the context of SI and MKSA. That is why I used the generic symbol k instead, which can be used in all contexts, often with a subscript C.)