Book edition 9th Edition

Author(s) Raymond A. Serway, John W. Jewett

Pages 1624 pages

ISBN 9781133947271

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Short Answer

figure shows four sides of a 3.0 cm * 3.0 cm * 3.0 cm cube. a. What are the electric fluxes Φ1 to Φ4 through sides 1 to 4? b. What is the net flux through these four sides?

Electric flux on the all four side of the cube

$Φ_{1} = - 0.39 N m 2$

$Φ_{2} = 0.225 {Nm}^{2} / C$

$Φ_{3 =} 0.39 {Nm}^{2} / C$

$Φ_{4} = - 0.225 N m 2$

net flux through the four sides of cube is $= 0$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

part(a) step 1: given informaiton

cube with side of 3.0 cm

$Φ_{E} = A E \cos θ$

$Φ = E l e c t r i c F l u x$

Again, the flux is $Φ_{E} = A E \cos θ .$

On side 1 , the angle between $E ~$ and the normal is

$θ_{1} = 150 °$

For side 2 , it's $θ_{2} = 60 °$

For side 3 it's $θ_{3} = 30 °$

and for side 4 it's $θ_{4} = 120 °$

$Thus, Φ_{1} = E A \cos θ_{1}$

$= (500) (. 03)^{2} \cos 150 °$

$= - 0.39 N / {Cm}^{2}$

$Φ_{2} = E A \cos θ_{2}$

$= (500) (. 03) 2 \cos 60 °$

$= 0.225 N / {Cm}^{2}$

$Φ_{3} = E A \cos θ 3$

$= (500) (. 03) 2 \cos 30 °$

$= 0.39 N / {Cm}^{2}$

$Φ_{4} = E A \cos θ_{4}$

$= (500) (. 03) 2 \cos 120 °$

$= - 0.225 N / {Cm}^{2}$

part(b) step 1: given informaiton

cube with side 3.0

Formula Used:

$Φ_{E} = A E \cos θ$

$Φ = E l e c t r i c F l u x$

A= Cross-sectional area of the loop

Again, the flux is $Φ_{E} = A E \cos θ$

On side 1 , the angle between $E ~$ and the normal is

$θ_{1} = 150 ° .$

$F o r s i d e 2, i t' s θ_{2} = 60 °$

For side 3 it's $θ_{3} = 30 °$

and for side 4 it's $θ_{4} = 120 °$

Taking the values from part A,

The net flux through the four sides is just the sum of the individual fluxes,

$Φ = Φ_{1} + Φ_{2} + Φ_{3} + Φ_{4} = 0,$

which we know has to be the case, since there is no enclosed net charge.

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Physics For Scientists & Engineers

Answers without the blur.

Short Answer

figure shows four sides of a 3.0 cm * 3.0 cm * 3.0 cm cube. a. What are the electric fluxes Φ1 to Φ4 through sides 1 to 4? b. What is the net flux through these four sides?

Step by Step Solution

part(a) step 1: given informaiton

part(b) step 1: given informaiton

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Physics For Scientists & Engineers

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Short Answer

figure shows four sides of a 3.0 cm * 3.0 cm * 3.0 cm cube. a. What are the electric fluxes Φ1 to Φ4 through sides 1 to 4? b. What is the net flux through these four sides?

Step by Step Solution

part(a) step 1: given informaiton

part(b) step 1: given informaiton

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