   Chapter 15, Problem 56AP

Chapter
Section
Textbook Problem

A nonconducting, thin plane sheet of charge carries a uniform charge per unit area of 5.20 μC/m2 as in Figure 15.30. (a) Find the electric field at a distance of 8.70 cm from the plate. (b) Explain whether your result changes as the distance from the sheet is varied.

(a)

To determine
The electric field.

Explanation

Given info: The surface charge density is σ=5.20μC/m2 .

Formula to calculate the electric field is,

E=σ2ε0

• ε0 is the permittivity of free space.

Substitute 8.85×1012 C2/Nm2 for ε0 , 5.20μC/m2 for σ .

E=5.20μC/m22(8

(b)

To determine
The effect of varying the distance on the electric field.

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