   Chapter 15, Problem 52P

Chapter
Section
Textbook Problem

A charge of 1.70 × 102 μC is at the center of a cube of edge 80.0 cm. No other charges are nearby. (a) Find the flux through the whole surface of the cube. (b) Find the flux through each face of the cube. (c) Would your answers to parts (a) or (b) change if the charge were not at the center? Explain.

(a)

To determine

The total electric flux through the cube.

Explanation

Given info: The charge q is 1.70×102μC.

Formula to calculate the electric fluxis,

ϕE=qinsideε0

• qinside is the charge inside the surface.
• ε0 is the permittivity of free space.

Substitute 8.854×1012 m3kg1s4A2 for ε0,1.70×102μC for qinside

ϕE=1.70×102μC8

(b)

To determine

The electric flux through each face of the cube.

(c)

To determine

The effect of changing the position of charge on the electric flux.

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