   # A charge of 170 μ C is at the center of a cube of edge 80.0 cm. No other charges are nearby. (a) Find the flux through each face of the cube. (b) Find the flux through the whole surface of the cube. (c) What If ? Would your answers to either part (a) or part (b) change if the charge were not at the center? Explain. ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399

#### Solutions

Chapter
Section ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 24, Problem 24.12P
Textbook Problem
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## A charge of 170 μC is at the center of a cube of edge 80.0 cm. No other charges are nearby. (a) Find the flux through each face of the cube. (b) Find the flux through the whole surface of the cube. (c) What If? Would your answers to either part (a) or part (b) change if the charge were not at the center? Explain.

(a)

To determine

The flux through a single face of the cube.

### Explanation of Solution

Value of the charge is 170μC, Edge of the cube is 80cm, no other charges are nearby.

The formula to calculate the net electric flux is,

ϕE=qinεo

Here, ϕE is the Electric flux through the closed surface, qin is the net value of charges present inside the surface and εo is the permittivity of the free space.

Substitute 170μC for qin, 8.85×1012C2/Nm2 for ε in above expression.

ϕE=170μC×(106C1μC)8.85×1012C2/Nm2=1.92×107Nm2/C

There are 6 faces in a cube

(b)

To determine

The flux through the whole surface of the cube.

(c)

To determine

The change in the answer part (a) and part (b) were the charge be at the center.

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