Coulomb’s law says that electric field falls off like 1/z2. How can Efor a uniformly charged disk depend on [1-z/R], or be independent of distance?

Short Answer

Expert verified

Electric field can be independent of distance but is inversely proportional to the area of the disk which has dimension L2.

Step by step solution

01

Given data

Electric field due to a uniformly charged disk is independent of distance.

02

Field due to a uniformly charged disk

The electric field on the axis of a uniformly charged disk of charge Q and Aarea extremely close to the disk is

E=Q2Aε0 ......(i)

Here, localid="1668493266480" ε0is the permittivity of free space

03

Determination of the dependence of electric field on length dimension

The field given in equation (i) might be explicitly independent of distance but is inversely proportional to area which has dimension

A=L2

Thus the dimension remains correct.

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