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FIGUREEX24.18shows three charges. Draw these charges on your paper four times. Then draw two-dimensional cross sections of three-dimensional closed surfaces through which the electric flux is (a) -q/ϵ0, (b) q/ϵ0, (c) 3q/ϵ0, and (d) 4q/ϵ0.

Short Answer

Expert verified

a.Diagram for closed surface with charge-qis .

b.Diagram for closed surface with chargeqis.

c.Diagram for closed surface with charge3qis.

d.Diagram for closed surface with charge4qis.

Step by step solution

01

Figure for closed surface with electric flux -qε0 (part a)

(a).

The amount of electric field that travels through a closed surface is referred to as the electric flux.

Φe=∮E→·dA→=Qinϵo

Because any flux owing to charges outside the closed surface is zero, we construct a closed surface around the number of charges the flux equals to obtain the flux.

Negative charge is surrounded by a closed surfacelocalid="1649268816933" -q.

02

 Figure for closed surface with electric flux qε0(part b)

(b).

A closed surface is drawn around net charges ofq. If the two charges are combined, this might happen-qand2q.

03

 Figure for closed surface with electric flux 3qε0(part c)

(c).

A closed surface is drawn around net charges of3q.

This could occur if we combine the three charges -q,2qand2q.

04

Figure for closed surface with electric flux 4qε0 (part d)

(d).

A closed surface is drawn around net charges of 4q.

If the two charges 2qand2qare combined, this might happen.

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