If the field strength is e = 9 v/m a distance of 1 m from the charge, what is the field strength e a distance of 3 m from the charge?

Question

Mathematics

August Davenport

30 June, 14:20

If the field strength is e = 9 v/m a distance of 1 m from the charge, what is the field strength e a distance of 3 m from the charge?

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Answers (1)

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Kristian Sampson · Answer 1

The field strength is directly proportional to the square of the distance. Therefore, we can use the relation:

e1 d1² = e2 d2²

where

e1 = 9 v/m

d1 = 1 m

d2 = 3 m

Substituting

9 (1) ² = e2 (3²)

e2 = 1 v/m