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Physics Physics for Scientists and Engineers, Technology Update (No access codes included)9th Edition

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

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 170 μC, Edge of the cube is 80 cm, 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 170 μC for qin, 8.85×10−12 C2/N⋅m2 for ε∘ in above expression.

ϕE=170 μC×(10−6 C1 μC)8.85×10−12 C2/N⋅m2=1.92×107 N⋅m2/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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Chapter 24 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)

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